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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.

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

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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

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

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

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The prime factorization of the number 26 is: 2 x 13

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Prime factorization is the finding which prime number multiply to get to make the original number. Factors of 4: 1, 2, 4 Prime Factorization: 2 2 x 2 = 4

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The prime factorization of 24 is 2 x 2 x 2 x 3. The number represented by that prime factorization is 24.

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23 = 2*2*2 . thus the number (8) has three prime factors - each of which is a 2.