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Because 2 is a Prime number. 2 x 2 is the prime factorization of 4. 2 x 2 x 2 is the prime factorization of 8. 2 x 2 x 2 x 2 is the prime factorization of 16, and so on.

Q: Why is 2 to the power of 3 a prime factorization of a number?

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It's not. It's the prime factorization of the composite number 8.

Prime factorization of 22*32 = 2 x 2 x 3 x 3 = 36

The prime factorization for the number 9600 is 2 to the 7th power times 3 times 5 to the 2nd power. This is a math problem.

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320

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No number has that prime factorization since 4 isn't prime.

It's not. It's the prime factorization of the composite number 8.

Any power of 2

Prime factorization of 22*32 = 2 x 2 x 3 x 3 = 36

The prime factorization for the number 9600 is 2 to the 7th power times 3 times 5 to the 2nd power. This is a math problem.

2 is a prime number, so it does not have a prime factorization.2 is already prime.

The prime factorization of the number 9600 would be 2 to the 7th power times 3 times 5 to the 2nd power.

The prime power factorization of 54 is 2 x 33.

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The prime factorization is: 22 x 7

Prime Factorization of 22 is a prime number, so it does not have a prime factorization.