16. Number of primes in the prime factorization of 8 is
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since both 2 and 5 are prime factors of 8!. Example: 100 is not a factor of 8! since 100 = 22 · 52, so we need two factors of 5 to get 100, and 8! only has one factor of 5.
The prime factorization does not include 1, but does include every copy of every prime factor. For instance, the prime factorization of 8 is 2×2×2, not just "2". Yes, 2 is the only factor, but you need three copies of it to multiply back to 8, so the prime factorization includes all three copies.
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The prime factorization of 8 is 2×2×2.
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