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Simplify: /576/64

The prime factorization of 576 is .

The prime factorization of 64 is .

The expression in simplest form is .

User Marielle
by
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1 Answer

4 votes

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

User Trevor Johnson
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