Answer
Finding possible factors of a number is to find all the numbers that can exactly divide it. Those numbers can be prime and composite.
Finding the prime factorization is to divide the number only in prime factors to make a combination of factors wich product is equal to the number.
Look on the step by step for the example.
Work Step by Step
Possible factors of $24$ are $1,2,3,4,6,8,12,24$
The prime factorization of $24$ is $2*2*2*3$