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# If p is an integer greater than 1, is p a prime number?

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Joined: 27 Sep 2015
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Re: If p is an integer greater than 1, is p a prime number? [#permalink]
Determine if p is prime.

(1) It is given that p is a factor of 13. Since the only factors of 13 are 1 and 13, and p > 1, it follows that p = 13, and hence p is prime; SUFFICIENT.

(2) It is given that p is a factor of 78. Then p could be prime, since 2 is a factor of 78 and 2 is prime, and p could be composite (i.e., not prime), since 6 is a factor of 78 and 6 is composite; NOT sufficient.

statement 1 alone is sufficient.
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Re: If p is an integer greater than 1, is p a prime number? [#permalink]
How did you conclude that P could not be 26? or 39?... (any factor of 13)?
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Re: If p is an integer greater than 1, is p a prime number? [#permalink]
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