Prime Factorization: The Factor Tree

Which of the following has the greatest number of _distinct_ prime factors?

Great! [[snippet]] The factor tree for 6 is simply as follows: ![](data:image/png;base64,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 "") Thus, the prime factors of 6 are 2 and 3, so it has _two_ distinct prime factors. This is more than the number of distinct prime factors that 7 and 9 have, since 7 is its own prime factor so only has _one_ distinct prime factor, and 9 only has 3 as a prime factor so also only has _one_ distinct prime factor.

Incorrect. [[snippet]] The only prime factor of 7 is itself, so it only has _one_ distinct prime factor.

Incorrect. [[snippet]] The factor tree for 9 is as follows: ![](data:image/png;base64,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 "") The only prime factor of 9 is 3, so it only has _one_ distinct prime factor.

Prime Factorization: The Factor Tree

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