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If 52/x is a positive integer, how many integer values are p
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18 Jul 2018, 16:49
18 Jul 2018, 16:49
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68% (00:56) correct
31% (00:50) wrong based on 107 sessions
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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
(A) 5
(B) 6
(C) 7
(D) 8
(E) 10
Re: If 52/x is a positive integer, how many integer values are p
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18 Jul 2018, 20:00
18 Jul 2018, 20:00
3
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
(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
Re: If 52/x is a positive integer, how many integer values are p
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19 Jul 2018, 12:12
19 Jul 2018, 12:12
2
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
(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
The best answer is B.
