For this case, we have that by definition, the prime factorization is the process of decomposing a number into its prime factors.
We decompose:
576: Divided between 2
288: Divided between 2
144: Divided between 2
72: Divided between 2
36: Divided between 2
18: Divided between 2
9: Divided by 3
3: Divided by 3
1.
Thus,

64: Divided between 2
32: Divided between 2
16: Divided between 2
8: Divided between 2
4: Divided between 2
2: Divided between 2
1.
So,

ANswer:
