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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
Posts: 58

Kudos [?]: 71 [2], given: 26

GMAT 1: 410 Q33 V13
WE: Management Consulting (Computer Software)
If p is an integer greater than 1, is p a prime number? [#permalink]

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21 Dec 2015, 15:00
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69% (00:31) correct 31% (00:36) wrong based on 146 sessions

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

(1) $$p$$ is a factor of 13
(2) $$p$$ is a factor of 78
[Reveal] Spoiler: OA

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Kudos [?]: 71 [2], given: 26

Current Student
Joined: 20 Mar 2014
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Kudos [?]: 1844 [1], given: 800

Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE: Engineering (Aerospace and Defense)
Re: If p is an integer greater than 1, is p a prime number? [#permalink]

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21 Dec 2015, 17:56
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RSOHAL wrote:
If p is an integer greater than 1, is p a prime number?

(1) $$p$$ is a factor of 13
(2) $$p$$ is a factor of 78

The question asks whether p is a prime number.

Per statement 1, p is a factor of 13 and as such there are only 2 possible values of p = 1 or 13. But as it is given than p>1, p=13 is the only allowed value. Sufficient

Per statement 2, p is a factor of 78, thus p = 2 or 6 or 13 and you end up getting primes = 2 or 3 but also non primes = 6 or 78. Hence not sufficient.

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Re: If p is an integer greater than 1, is p a prime number? [#permalink]

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10 Sep 2017, 21:04
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Re: If p is an integer greater than 1, is p a prime number?   [#permalink] 10 Sep 2017, 21:04
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