







The product of 3 integers is 24 
20191106 

Rick pose la question : This is a question on my sons preap practice quiz.
I think that there is information missing (?)
The product of 3 integers is 24
The sum of 3 integers is 12
What are the 3 integers ?
This is exactly how it was written on his quiz paper.
I have wasted to much time on the internet, trying to find a
formula(s) to help him.
Please help me. Penny Nom lui répond. 





The divisors (aliquot parts) of a positive integer 
20191031 

Kenneth pose la question : Is there a fast and simple method that can be used to determine the aliquot parts, whole, positive numbers that can divide into another whole, positive number? Harley Weston lui répond. 





Four odd factors 
20180704 

Manchali pose la question : Find a number that has 4 factors and all of them are odd numbers. Penny Nom lui répond. 





Multiplies and factors 
20180224 

Lil pose la question : Is a multiple the same as a factor? Penny Nom lui répond. 





A question about perfect squares 
20180204 

Jolyn pose la question : Find the smallest possible value of a whole number m if 648x m is a perfect square Penny Nom lui répond. 





Factors 
20170816 

Gemma pose la question : Why do 315 and 525 have the same number of factors? Penny Nom lui répond. 





The product of a 2digit number and a 3digit number 
20150206 

Nathaniel pose la question : The product of a 2digit number and a 3digit number is about 50 000 what are the products Penny Nom lui répond. 





Prime factorization in exponent form 
20141031 

Emma pose la question : I need to find out how to make a prime factorization of 120 in exponential form. Penny Nom lui répond. 





Sieve of Eratosthenes 
20141003 

Hope pose la question : using Sieve of Eratosthenes to determine for in instance prime numbers between 1 to 200, to what nth number should i stop?, 4th, which is 11 or what? Robert Dawson lui répond. 





Factor strings 
20131014 

Jane pose la question : What's a factor string? I'm confusey in the head. Penny Nom lui répond. 





Factoring 
20120426 

Amanda pose la question : y=x^29x Penny Nom lui répond. 





A number puzzle 
20120407 

Kenya pose la question : my number is less than 25
my number of tiles will make only one rectangle
my number is odd
my number is a factor of 36 Penny Nom lui répond. 





Simplify the expression 
20120212 

Christy pose la question : Hi guys, ok so I'm having problems with solving this equation since it's been so long I've done precal.
I have to find critical points so I have to find the derivative first. This is what I've done so far
s(t)= (t6)^4 * (t+1)^2
t'= 4(t6)^3*(1)*(t+1)^2+ 2(t+1)(1)*(t6)^4
so this is where I got stuck, which is the algebra part. How can I simplify this to get the answer to figure out the critical points. Penny Nom lui répond. 





Rectangular arrays 
20100929 

Kim pose la question : My 4th grader has started working on rectangular array that shows 2 factors of a number.
The problem reads on centimeter grid paper draw as many arrays as you can for each of the #'s 2,3,4, 5,6,7,,11,12,15 and 16. That would be great except I have no idea what they are talking about and I cannot offer any help to my daughter. Penny Nom lui répond. 





Adding five positive integers that have a product of 48 
20100427 

Lorraine pose la question : What is the smallest possible sum that can be obtained by adding five positive integers that have a product of 48. Chris Fisher lui répond. 





Factors and zeros of a polynoial 
20100317 

Susan pose la question : find a polynomial function of degree three with 3 as a zero of multiplicity 2 and 4 as a zero of multiplicity 1. Tyler Wood lui répond. 





Factors 
20091030 

brenden pose la question : The numbers 3,5,7 are factors of n. Find four other factors of n besides 1 Penny Nom lui répond. 





An array 
20091028 

felicia pose la question : what factors are shown in the array below?
**
**
**
**
**
** Penny Nom lui répond. 





Find a polynomial function with the indicated zeros and satisfying the given conditions 
20090323 

Kristen pose la question : Find a polynomial function with the indicated zeros and satisfying the given conditions. Simplofy your answer (no imaginary numbers or parentheses in the answer)
Zeros: 1+2i, 12i, 5 ; f(2)=1 Harley Weston lui répond. 





Surface area and scale factors 
20090221 

tina pose la question : the surface area of a sphere is about 86 ft (2) find the surface area of a larger sphere that has a scale factor of 4 Penny Nom lui répond. 





How many students were there 
20090125 

sooos pose la question : After a math lecture in university, the students go to the cafeteria. EACH ONE of them buys a cheese sandwich and a cup of tea. They ALL pay $18.49. How many students were they? Chris Fisher lui répond. 





The factors of an integer 
20090106 

Madison pose la question : what are the factors of 878 Robert Dawson lui répond. 





Do all square numbers have an odd number or factors? 
20081211 

Amy pose la question : Do all square numbers have an odd number or factors? Victoria West lui répond. 





Factor 9x^2 + 6x + 4 
20081121 

Jonah pose la question : how can i solve this by factoring: 9x^2 + 6x + 4 Harley Weston lui répond. 





Number of factors 
20080918 

Austin pose la question : I am stuck on finding what type of number has exactly two factors and
what type of number has an odd number of factors? I need some examples. Penny Nom lui répond. 





Number of factors 
20080720 

pete pose la question : how do you find the number of factors in a really big number without using a factoring program or listing the out? Penny Nom lui répond. 





What is the largest perfect square factor of 1512? 
20080702 

peter pose la question : What is the largest perfect square factor of 1512? Penny Nom lui répond. 





How many positive integer factors of 2^2*3^2*5 are multiples of 12? 
20080627 

Peter pose la question : How many positive integer factors of 2^2*3^2*5 are multiples of 12 Janice Cotcher lui répond. 





Scale factor 
20080528 

Riley pose la question : I have a math problem, and a big test coming up on Friday or Thursday (my teacher hasn't decided yet.) I need help understanding how
I would do this problem. Here it is: they wanted me to find the perimeter and area of a rectangle when they only give me the scale factor. I've
delt with scale factors before, but this is quite confusing. I have done the scale factor way by having a rectangle that maybe has a width of 10 and a
height of 20, and I needed to find what the scale factor would be for a rectangle with the width of 5 and a height of 10. I know that they scale factor
would be 2, right? But this just gives me the scale factor, and I have to FIND the perimeter and area. Hopefully you can get back to me tonight. Harley Weston lui répond. 





Prime factors 
20080521 

john pose la question : the first 5 prime numbers are 2,3,5,7,11. which is the smallest number that has these prime factors. Stephen La Rocque lui répond. 





The number of positive integer factors 
20080402 

lisa pose la question : If n is a positive integer such that 5n has 36 positive factors, and 3n has 40 positive factors:
How many positive factors can 15n have? How many values are possible for n? Penny Nom lui répond. 





Scale factors 
20080213 

Dayne pose la question : My teacher doesn't now how to teach us scale factors and i have a problem to make it easier to understand. The problem is: A map of Levi's property is being made with a scale of 2 cm : 3 meters. What is the scale factor? Stephen La Rocque lui répond. 





(303,000,000,000,303x3,300,000,033)/1,000,100,010,001 
20080113 

Adrian pose la question : Give the result of the following computation as an integer.
(303,000,000,000,303x3,300,000,033)/1,000,100,010,001
N.B. No calculators allowed Penny Nom lui répond. 





13 year and 17 year locusts 
20071012 

stefan pose la question : how many years pass between the years when both 13 year and 17 year locusts are out at the same time? Penny Nom lui répond. 





What is a friendly Factor? 
20071012 

Christine pose la question : Hi mi niece and I are trying to figure out what friendly factors are. An example of one of the questions: Use friendly factors to multiply the following. 8x25=.
Can you please help? thank you Penny Nom lui répond. 





What are the factors of 111? 
20070913 

Miska pose la question : What are the factors of 111? Penny Nom lui répond. 





The factors of 35 
20070911 

johh pose la question : wats the factors for 35 Penny Nom lui répond. 





Find All 24 Factors Of 360 
20070908 

Jennifer pose la question : Find All 24 Factors Of 360 Penny Nom lui répond. 





Prime factors in exponential form 
20070906 

Michelle pose la question : how would you write this: factor 48 as a product of primes written in exponential form Stephen La Rocque lui répond. 





Common factors 
20070819 

John pose la question : I have problem factorising 2p^3  34p. Please advise me. Leeanne Boehm, Steve La Rocque and Penny Nom lui répond. 





An odd number with 12 factors 
20070627 

Wilson pose la question : Do you know of any odd number that has 12 factors? Reply back today.
Because I have hand in a project tomorrow. Stephen La Rocque and Harley Weston lui répond. 





Factor X^6  64 
20070620 

Krystal pose la question : How do I Factor X^6  64 into linear factors? Penny Nom lui répond. 





If the product of A,B,C is 15834, what is A+B+C? 
20070310 

rachel pose la question : if the product of A,B,C is 15834, what is A+B+C? Penny Nom lui répond. 





Factors 
20061122 

Jacqueline pose la question : Why do the numbers 16,36,48,60,64,90 and 100 have an odd number of factors? Stephen La Rocque and Penny Nom lui répond. 





How do I factor 10x^2 + 17x + 6? 
20061121 

Sheldon pose la question : How do I factor 10x^2 + 17x + 6? Penny Nom lui répond. 





Scale factors and ratios 
20061119 

Maggie pose la question : I have a BIG math test coming up, and it's about scale factors and ratios, but i don't understand them at all. How can you tell the difference between scale factors and ratios? and How are they used in the everyday world? Penny Nom lui répond. 





The sum of two numbers is 30 
20061103 

GG pose la question : The sum of two numbers is 30 and the product of the same two numbers is 221. Find the two numbers. Stephen La Rocque lui répond. 





An odd number of factors 
20061028 

Anthony pose la question : What is the common name used for numbers that have an odd number of factors? This answer should be a two word answer only. Stephen La Rocque lui répond. 





Find the divisors 
20060821 

Minh pose la question : Using combination or permutation or both, find the
a. Divisors
b.even divisors
of 2160 Stephen La Rocque and Penny Nom lui répond. 





When 391758 and 394915 are divided by a certain three digit number, ... 
20060726 

Nick pose la question : When 391758 and 394915 are divided by a certain three digit number, the three digit reminder is the same in each case. Find the divisor. Chris Fisher and Steve La Rocque lui répond. 





x^2+2x3 is a factor f(x)=x^4+2x^37x^2+ax+b 
20060406 

Maha pose la question : Given that x^{2}+2x3 is a factor f(x)=x^{4}+2x^{3}7x^{2}+ax+b, find a and b and hence factor f(x) completely. Penny Nom lui répond. 





Factors of a cubic 
20060308 

Skye pose la question : Show that (x+2) is a factor of f(x) where:
f(x) = px^{3} + (4p+2)x^{2} + (5p+4)x + 2p
Find the range of values for which the equation f(x) = 0 has 3 distinct real roots Penny Nom lui répond. 





X^2 + 4X + 6 is a factor of X^4 + rX^2 + s 
20060211 

Katie pose la question : If X^{2} + 4X + 6 is a factor of X^{4} + rX^{2} + s, then find the value of r+s? Steve La Rocque and Penny Nom lui répond. 





How many divisors does the number 138600 have? 
20060208 

Joe pose la question : How many divisors does the number 138600 have? Steve La Rocque and Penny Nom lui répond. 





LCM 
20051212 

Alex pose la question : what is the LCM of 210 and 54 and the LCM of 42 and 126 Penny Nom lui répond. 





Numbers with exactly 5 divisors 
20051123 

Mary Lou pose la question : Show the 10 numbers with exactly 5 divisors. Penny Nom lui répond. 





Factoring 
20051030 

A student pose la question : Factor 18x^{3} y^{3} + 12xy^{2} Penny Nom lui répond. 





Divisibility by each of the first ten counting numbers 
20051017 

Simon pose la question : determine smallest positive integer that is divisible by each of the first ten counting numbers Penny Nom lui répond. 





An odd number of factors 
20051006 

Ramneek pose la question : What is the common name used for numbers that have an odd number of factors? Claude Tardif lui répond. 





A 3digit product 
20050225 

A student pose la question : I have an odd 3 digit product. My factors are a 1 digit number and either a 2 or 3 digit number. My factors are odd, but neither is 1. Find my factors and my product. Penny Nom lui répond. 





Factoring a cubic 
20050220 

Abraham pose la question : How would you factor completely,
x^{3}x^{2}+5x5? Claude Tardif lui répond. 





252 x ? is a cube 
20041222 

Andrea pose la question : What is the smallest positive interger by which 252 can be multipled so the result is a perfect cubed? Penny Nom lui répond. 





Crossword math puzzle 
20040914 

Joyce and Tiffany pose la question : The puzzle name was real number vocabulary and the question is (a number that divides evenly into another what is it?). (Space in between ticmarks on a number line). Harley Weston lui répond. 





an integer with three factors 
20040803 

A student pose la question : What is the probability that a randomly chosen 3 digit number has exactly 3 factors Penny Nom lui répond. 





Factoring 
20040728 

Nicole pose la question : Can 4x2 + 19x + 12 be factored? i have tried but i cannot figure it out. Is there a way to find out if it cannot be factored before i try to work out the problem? Penny Nom lui répond. 





What is a number that has exactly 13 factors? 
20031109 

Mary pose la question : What is a number that has exactly 13 factors? Penny Nom lui répond. 





Which one has the most factors? 
20031031 

Kristi pose la question : Of all the whole numbers less than or equal to 5000, which one has the most factors? Claude Tardif lui répond. 





Pairs of prime numbers 
20031013 

Nikolas pose la question : Use pairs of prime numbers to find all the numbers less than 50 that have only two prime factors. Make an organized list. Penny Nom lui répond. 





Relatively prime 
20030927 

James pose la question : what is the definition a relative prime numbers? Penny Nom lui répond. 





Making a square 
20030907 

A student pose la question : if I am given any number (say 80 for example), how may I determine the smallest whole number integer which when multipled by it will yield a square number ? In other words if I express this as: 80Ý*ÝnÝ=ÝsquareÝnumber, what is the least value of n which will yield a square. Penny Nom lui répond. 





An array of pennies 
20030523 

Saundra pose la question : If you have 100 pennies and you are suppose to make an array do you arrange the pennies by date? Penny Nom lui répond. 





1575 
20030313 

Sharyn pose la question : find 6 integers that when multiplied with each other equal +1575 and when the same integers are added together equal zero. there are more positives than negatives and one of the numbers is a double digit between 10 and 20 Penny Nom lui répond. 





X times Y equals ten million 
20030226 

Baneen pose la question : Would you be able to tell me which two numbers would compute ten million without any number having zeros in it? Penny Nom lui répond. 





Factoring 
20030204 

Marcin pose la question : I am having a really hard time with the factor theorem. Can you please help me with the following? (a'3 means a to the exponent 3)
a)8a'3+64b'3c'6 b)8x'412x'344x'2+24x c)x'421x'2100
Penny Nom lui répond. 





Factoring 
20021211 

Larry pose la question : Question:
how do u factor trinonmials
EX: X^{ 3} + Y^{ 3}
X^{ 3}  8Y^{ 3}
8X^{ 2}  72
64A^{ 3}  125B^{ 6} Penny Nom lui répond. 





Composites, primes, factors and common factors 
20021120 

Connie pose la question : My son can't remember what a composite number is, what a prime number is and the explaination of factors and common factors. Help! Penny Nom lui répond. 





Two problems 
20021014 

Eva pose la question :
a) How many different equivalence relations can be defined on the set X={a,b,c,d}? b)Show that 6 divides the product of any 3 consecutive integers. I know it is true that 6 divides the product of any 3 consecutive integers. However, i have problem showing the proof. Leeanne Boehm and Penny Nom lui répond. 





A polynomial 
20020414 

A student pose la question : A polynomial function is described by the following conditions: f(x) has two real zeros at x= 2 and x= 1, each of multiplicity 2 f(x) has two complex zeros as x goes to infinity, f(x) goes to +infinity as x goes to +infinity, f(x) goes to +infinity f(x) has a yintercept at (0,2) Sketch a polynomial function that satisfies the above conditions. Write an equation for function f(x) Write another function g(x) that also satisfies the above parameters. Penny Nom lui répond. 





24x^4 + 3x 
20020318 

gary pose la question : 24x^{ 4} + 3x Penny Nom lui répond. 





4x(2x1)+(2x1)^{2} 
20010917 

Nick pose la question : how do u solve 4x(2x1)+(2x1)^{2} Penny Nom lui répond. 





A factoring problem 
20010614 

A student pose la question : What is the factoring of x squared 7+6 equal Penny Nom lui répond. 





Primes and square roots 
20010614 

Paul pose la question : I have a bit of a math problem. It has to do with determining if a very large number is a prime. One method entails dividing the number by every smaller prime number. If any divide into it, it's not a prime. This would be a big job if the number was something like 400 digits long. Another way I read about was to take the square root of the number and test all the primes less than its square root. The explanation went like this: "When a number is divided by another number that is greater than its square root, the result is a number smaller than the square root. For example, the square root of 36 is 6. Dividing 36 by 2, a smaller number than 6, gives 18, a number that is larger than the square root. To prove that 37 is prime it is only necessary to divide it by primes less than 6, since if it had a prime factor greater than 6, it would have to have one less than 6 as well." I understand the explanation, up to the last sentence. I fail to see the underlying logic. Why if a prime factor exists below the square does one have to exist above the square too? The number 40 can be divided by the prime 2, a number below its square root, but no other primes can do this above its square root. Have I missed something? What's the logic here? Claude Tardif and Penny Nom lui répond. 





25 y^2 + 20 y z  4 z^2 
20010515 

Kimmy pose la question : i don't know how to factor the trinomial 25y^{2} + 20yz  4z^{2}. I can get it, but i get messed up on getting the minus 4 at the end. all i get is a plus 4. Can it even be factored. Penny Nom lui répond. 





Factoring 
20010322 

Kaleena pose la question : Factor this equation: 5x^{7}10x^{5}+4x^{3}8x Harley Weston lui répond. 





What number from 1 to 25 has the most factors? 
20010123 

John pose la question : What number from 1 to 25 has the most factors? Penny Nom lui répond. 





Prime factorization 
20001213 

A student pose la question : What is the prime factorization for 250 1296 and 2400 Penny Nom lui répond. 





Factoring a cubic 
20001031 

A student pose la question : Factor Completely 18p^{3}  51p^{2}  135p Paul Betts and Penny Nom lui répond. 





A zip code problem 
20001026 

Rob Mathis pose la question : Find the zip code of a place in a county so that the product of it and the zip code of another place in another county of the same name, but in a different state, is an exact multiple of the number 123456789 Claude Tardif lui répond. 





1234567890 
20000914 

Bradley Kloetzly pose la question : Can you find two whole numbers, with the smallest possible difference between them, which when multipled together equal: 1234567890? Harley Weston lui répond. 





Roots of x^2 + 22 x + 112 
20000907 

Brian R. pose la question : I need to find the root of the quadratic equation of a square. The problem is x^{2} + 22x + 112 = 0. Penny Nom lui répond. 





How many zeros? 
20000409 

Greg Potts pose la question : The natural numbers 1 to 25 are multiplied together (1 x 2 x 3x..24 x 25). How many zeros are there in the product of this multiplication? a)6 b)7 c)5 d)10 or e)4? Harley Weston lui répond. 





Division 
20000316 

Charday pose la question : What is the easiest way to calculate the least number that can be divided evenly by all the numbers from 1 to 10. Penny Nom lui répond. 





10 000 000 = a x b 
20000306 

Spencer Jaffe pose la question : What two numbers that don't end in zero, multiplied equal 10,000,000. Claude tardif lui répond. 





Factoring, primes, GCF and LCM 
20000227 

Ruth Kroek pose la question : My son is in grade seven, he has to do a Factoring Booklet the areas covered are:  Prime #'s
 Composite #'s
 Rainbow Factoring
 Finding Multiples (consecutive multiples)
 Finding GCF of 23 numbers uning Rainbow factoring
 Finding LCM of 2 numbers using consecutive multiples
 prime factor trees
 prime factor ladders
 finding GCF of 2 numbers using Prime number Method
Although his text 'Math Power' gives some information, we are at a loss .. Penny Nom lui répond. 





Three factors 
20000221 

A parent pose la question : Question from a parent helping a child, grade 4, with homework. Can a number have three factors? Name three numbers that have three factors. Penny Nom lui répond. 





Factors 
20000215 

Guy Rayfield pose la question : Please can you tell me the factors of 6 I think the answer is 2 and 3  am I right? Penny Nom lui répond. 





Factors 
20000127 

Pam pose la question : My son [age 9, 4th grade] has a math problem with factors. I need to know how to do the problem that involves the factor 24. I'm not even sure where to start. Harley Weston lui répond. 





Factoring by graphing 
20000111 

Dylan Kirkwood pose la question : How can you factor a quadratic equation by graphing it? Penny Nom lui répond. 





Two algebra problems 
19991217 

Michael Standfest pose la question : If x+4 is a factor of 2x^{4}+kx^{3}3kx^{2}+6x40, find k and Prove that n^{2}n is even for all n, using the proof of contradiction Penny Nom lui répond. 





order 4+ determinants 
19991206 

Joe Kron pose la question : Why is it never shown how to calculate the value of 4x4 (or larger size) deteminants by the diagonal multiply methods that are generally shown for 2x2 and 3x3 determinants? The method I'm talking about is called Cramer's Rule??? Is this method not extensible to order 4+ and if not why not? Anyway the method always shown for order 4+ is called "reduction by minors" which is not the answer to this question. Walter Whiteley lui répond. 





An odd number of factors 
19991022 

Melissa pose la question : What is the common name used for numbers that have an odd number of factors? What is the least positive integer that has exactly 13 factors? Penny Nom lui répond. 





Common factors 
19991006 

Tommygirl98 pose la question : Ok I have a question about common factoring I'm not to sure if you could help me but it's worth a try here it goes. Ok I have a test on Friday and i'm having trouble understanding how to do it here's an example, Factor, 10 + 2b how do you do it and what do they mean by factor? Penny Nom lui répond. 





Composite Numbers 
19981007 

Greg Murphy pose la question : What type of composite number has an odd number of factors? Harley Weston lui répond. 





Students and Lockers 
19981002 

Mike pose la question : There is a row of 1000 lockers. There is a line of 1000 students. Student number 1 starts at the first locker and opens all 1000. Student number 2 starts at the second locker and closes every other one. Student number 3 starts at the third locker and goes to every third one, closing the open ones and opening the closed ones. Student number 4 does the same with every fourth locker and so on down the line... After all 1000 students have gone how many lockers are open and which ones are they? Please help! There is proboly a simple solution but we couldnt figure it out for the life of us. Please let us know how you solve it. Patrick Maidorn and Penny Nom lui répond. 





Five Factors 
19980919 

Derek Yau pose la question : To whom it may concern, I have difficulty in getting the solution to the following question: Find 5 numbers that have exactly 5 factors. I got 16, 81 but couldn't find the rest. I believe that in order to have 5 factors, it has to be a square number. Isn't it true? I guess there may be a pattern to this. Thanks for your help. Derek Yau. Penny Nom lui répond. 





3 to the power of 1994 
19980905 

Kim Tangney pose la question : What are the last two digits of:  3 to the power of 1994
 7 to the power of 1994
 3 to the power of 1994 + 7 to the power of 1994
 7 to the power of 1994  3 to the power of 1994
Penny Nom lui répond. 





Divisors of 6n 
19980126 

James pose la question : If n is a positive integer such that 2n has 28 positive divisors and 3n has 30 positive divisors, then how many positive divisors does 6n have? (a) 32 (b) 34 (c) 35 (d) 36 (e) 38 Penny Nom and Haragauri Gupta lui répond. 





Term definitions 
19960918 

M. Seltzer pose la question : A 7th grade algebra student would like the definition of the terms proper factor and perfect number. The Centralizer lui répond. 





Number of factors 
19960130 

Chrissy pose la question : What number has exactly 13 positive factors? Penny Nom lui répond. 

