Topic: prime factorization list of topics
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13 items are filed under this topic.

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	The product of 3 integers is -24		2019-11-06
		From Rick: 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. Answered by Penny Nom.
	Prime factorization in exponent form		2014-10-31
		From Emma: I need to find out how to make a prime factorization of 120 in exponential form. Answered by Penny Nom.
	Prime factorization		2014-02-06
		From Kadeejah: Write the prime factorization of 37 in exponential form Answered by Penny Nom.
	What is my number?		2009-09-18
		From Hanna: 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. Answered by Penny Nom.
	Exponential form		2009-08-31
		From cecil: what is the exponent form 564000? Answered by Stephen La Rocque and Harley Weston.
	The prime factorization of one billion		2008-11-02
		From Alta: The prime factorization of 1000 is 2 cubed times 5 cubed. How do you write the prime factorization of one billion using exponents? Answered by Penny Nom.
	Prime factorization		2008-10-19
		From nick: while im doing prime factorization for one number and it cant be divided 2,3 or five so what next? Answered by Penny Nom.
	The square root of (18*n*34)		2008-07-01
		From Peter: What is the least possible positive integer-value of n such that square root(18*n*34) is an integer? Answered by Penny Nom.
	The greatest common factor of two numbers		2006-07-16
		From Fadwa: What is the greatest common factor(GCF) of the following algebraic expressions? 1680 and 6048 Answered by Stephen La Rocque.
	How many numbers are relatively prime with 250?		2006-04-19
		From David: How many positive integers less than or equal to 250 are relatively prime with 250? Answered by Stephen La Rocque.
	How many divisors does the number 138600 have?		2006-02-08
		From Joe: How many divisors does the number 138600 have? Answered by Steve La Rocque and Penny Nom.
	LCM		2005-12-12
		From Alex: what is the LCM of 210 and 54 and the LCM of 42 and 126 Answered by Penny Nom.
	Primes and square roots		2001-06-14
		From Paul: 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? Answered by Claude Tardif and Penny Nom.

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