Prime Factorization is simple. It means you are trying to find the prime of two numbers. The easiest way to find the prime if two numbers is to make a factor tree.
To make a factor tree you need 2 numbers.
(For ex. 32 and 24)
1. Set up your 2 numbers.
32 24
2. Find out what two numbers can be multiplied together to make 32.
32
8·4
3. Find what makes those two numbers, because neither if them are prime.
8
4·2
4. The last step! Find what makes two and 4.
4. 2
2·2. And 2·1
1 is a prime, so now you have your answer. 1! I really hoped this helped.