Factoring numbers into a prime factorization.?

Question

what does Factoring numbers into a prime factorization mean...
Examples please
Thankyou

Answer 1

Let's say you have the number 60. . .

60 = 30 * 2

2 is a prime number, so that is one of the prime factors of 60.

Further:

30 = 15 * 2

15 = 3 * 5

Therefore, 2, 2, 3, and 5 are the prime factors of 60. This can be expressed as 2*2*3*5 or, if you know about exponents, (2^2)*3*5.

Usually a sort of "tree" is used to make this simpler. . .but the confines of this website make it difficult to use it.

Prime numbers are number than cannot be broken up further into integers other than 1 and the number in question itself. The only integer factors of 2 are 1 and 2, the only integer factors of 3 are 1 and 3, etc. By the way, some of the most important prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. . .at least for beginning in prime factorization. I doubt most problems dealing with it would have factors higher than those, though.

Answer 2

It means that you break down a number into the products of prime numbers...like for example....the prime factorization of 45 would be 3x3x5...make sense? If you need more help you can e-mail me...I tutor some of the highschool kids at my school.

Answer 3

breaking number down until it is prime


prime numbers are numbers that go into 1 and it self

i.e 16 how do you get to that it would be 4x4 then we could breakdown the 4s into 2x2 and since 2 is prime we cannot go any futher