factors for each composiite?

Answer 1

I suppose you're having trouble with the Fundamental theorem of Arithmetic. It states that:

Every composite number can be expressed as a product of powers of primes in a unique way.

It means that every composite number has only one prime factorization (order does not matter), and that factorization exists for that composite number only.

For example, 48 = (2^4) * 3
and 48 = (3) * (2^4)

Both mean the same. Order does not matter. And (2^4) * 3 can be prime factorization only for 48, none other.

NOTE:

Generally 48 = (2^4) * 3 is more acceptable than the other one because here the primes are written in ascending order. (First 2, then 3)

Answer 2

You might want to give the number.

For example, the prime factorization of 24 is (2^3)(3)