What is the prime faterization?

Im pretty sure u mean prime FACTORIZATIONAnyway, prime factorization is all of the prime numbers that a number is divisible by, and all multiplied together makes your original number.

example: 32 has a prime factorization of 2*2*2*2*2

because 32 divided by 8 = 4

4 divided by 2 = 2

8 divided by 4 = 2

and again 4 divided by 2 = 2

so you take your prime numbers (which means they can only be divided by one and itself) and that's basically your prime factorization of 32.And ask your math teacher man he or she can definitely help you more than i can.