Question

Simplify: /576/64

The prime factorization of 576 is .

The prime factorization of 64 is .

The expression in simplest form is .

Answer 1

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,
`576 = 2 ^ 6 * 3 ^ 2`

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,
`64 = 2 ^ 6`

ANswer:

`576 = 2 ^ 6 * 3 ^ 2\\64 = 2 ^ 6`