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# If 52/x is a positive integer, how many integer values are p

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If 52/x is a positive integer, how many integer values are p [#permalink]  18 Jul 2018, 16:49
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Question Stats:

70% (00:50) correct 29% (00:28) wrong based on 24 sessions
If $$\frac{52}{x}$$ is a positive integer, how many integer values are possible for x?

(A) 5
(B) 6
(C) 7
(D) 8
(E) 10
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
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WE: Engineering (Energy and Utilities)
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Re: If 52/x is a positive integer, how many integer values are p [#permalink]  18 Jul 2018, 20:00
1
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Carcass wrote:
If $$\frac{52}{x}$$ is a positive integer, how many integer values are possible for x?

(A) 5
(B) 6
(C) 7
(D) 8
(E) 10

Factors of 52 are = 52 , 26, 13 , 4 , 2 and 1

so there are $$6$$ possible values for x
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Re: If 52/x is a positive integer, how many integer values are p [#permalink]  19 Jul 2018, 12:12
1
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Carcass wrote:
If $$\frac{52}{x}$$ is a positive integer, how many integer values are possible for x?

(A) 5
(B) 6
(C) 7
(D) 8
(E) 10

If we want to make x an integer x has to be the factors of 52.

So,

52 = 26*2 = 13 * $$2^2$$

there is a shortcut to find out the total factor. Just add 1 to the power of the prime.

so, (1+1)*( 2+1) = 6

Re: If 52/x is a positive integer, how many integer values are p   [#permalink] 19 Jul 2018, 12:12
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