# Are all prime numbers odd?

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Trevor Ryan.
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Sep 7, 2015

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No.

There is one exception, the number 2, which is the only even prime number

#### Explanation:

By definition a prime number has only 2 factors - itself and 1.

Hence the smallest natural prime number is 2, and the only on that is even. All other prime numbers are odd, and there are infinitely many prime numbers. (can be proven).

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