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factorization

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The product of 3 integers is -24 2019-11-06
Rick pose la question :
This is a question on my sons pre-ap 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.
Prime factorization in exponent form 2014-10-31
Emma pose la question :
I need to find out how to make a prime factorization of 120 in exponential form.
Penny Nom lui répond.
Prime factorization 2014-02-06
Kadeejah pose la question :
Write the prime factorization of 37 in exponential form
Penny Nom lui répond.
Factor 10x^2+17x-6 2011-03-03
Jeff pose la question :
Factor 10x^2+17x-6 with steps and explanation.
Penny Nom lui répond.
What is my number? 2009-09-18
Hanna pose la question :
What is my number?
My number is a perfect square.
The only number in its prime factorization is 2.
My number is a factor of 32.
The sum of its digits is odd.

Penny Nom lui répond.
Exponential form 2009-08-31
cecil pose la question :
what is the exponent form 564000?
Stephen La Rocque and Harley Weston lui répond.
Factor x^2 - y^2 2009-01-20
Shell pose la question :
complete Factor: x^2-y^2
Penny Nom lui répond.
The prime factorization of one billion 2008-11-02
Alta pose la question :
The prime factorization of 1000 is 2 cubed times 5 cubed. How do you write the prime factorization of one billion using exponents?
Penny Nom lui répond.
2x^3+x^2-2x-1=0 2008-10-26
bobby pose la question :
2x^3+x^2-2x-1=0
Penny Nom lui répond.
Prime factorization 2008-10-19
nick pose la question :
while im doing prime factorization for one number and it cant be divided 2,3 or five so what next?
Penny Nom lui répond.
The square root of (18*n*34) 2008-07-01
Peter pose la question :
What is the least possible positive integer-value of n such that square root(18*n*34) is an integer?
Penny Nom lui répond.
Prime factorization 2007-11-11
jeff pose la question :
find the prime factorization and use exponential notation for 432
Penny Nom lui répond.
The greatest common factor of two numbers 2006-07-16
Fadwa pose la question :
What is the greatest common factor(GCF) of the following algebraic expressions? 1680 and 6048
Stephen La Rocque lui répond.
How many numbers are relatively prime with 250? 2006-04-19
David pose la question :
How many positive integers less than or equal to 250 are relatively prime with 250?
Stephen La Rocque lui répond.
How many divisors does the number 138600 have? 2006-02-08
Joe pose la question :
How many divisors does the number 138600 have?
Steve La Rocque and Penny Nom lui répond.
5x^2 - 27x - 18 2006-01-13
Katy pose la question :
How would you factor 5x2 - 27x - 18?
Penny Nom lui répond.
LCM 2005-12-12
Alex pose la question :
what is the LCM of 210 and 54 and the LCM of 42 and 126
Penny Nom lui répond.
Factoring quartics 2005-11-13
Kyle pose la question :
How do I factor y4 + y2 +1?? I think the answer is (y2 + y + 1)(y2 - y + 1), but I'm not sure how to get that...
Chris Fisher lui répond.
Numbers that John likes 2005-01-16
Garrett pose la question :
John likes 400 but not 300; he likes 100 but not 99; he likes 3600 but not 3700. Which does he like?

900
1000
1100
1200

Penny Nom lui répond.
252 x ? is a cube 2004-12-22
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.
Pairs of prime numbers 2003-10-13
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.
Primes and square roots 2001-06-14
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.
A pair of numbers whose GCF is 28 2000-12-27
John pose la question :
Name 2 different pairs of numbers whose GCF is 28.
Penny Nom lui répond.
Prime factorization 2000-12-13
A student pose la question :
What is the prime factorization for 250 1296 and 2400
Penny Nom lui répond.
A zip code problem 2000-10-26
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.
 
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