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# For how many positive integer values of x is an integer?

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

For how many positive integer values of x is an integer? [#permalink]  12 Aug 2018, 15:23
Expert's post
00:00

Question Stats:

71% (00:33) correct 28% (00:00) wrong based on 7 sessions
For how many positive integer values of x is $$\frac{65}{x}$$ an integer?

[Reveal] Spoiler: OA
4

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 91

Kudos [?]: 1612 [0], given: 375

Re: For how many positive integer values of x is an integer? [#permalink]  15 Aug 2018, 05:06
Expert's post
Explanation

If x is a positive integer such that $$\frac{65}{x}$$ is also an integer, then x must be a factor of 65. The factors of 65 are 1, 5, 13, and 65. Thus, there are four positive integer values of x such that $$\frac{65}{x}$$ is an integer.
_________________

Sandy
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Re: For how many positive integer values of x is an integer?   [#permalink] 15 Aug 2018, 05:06
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