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if n is an integer then n is divisible by how many positive

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yi_guang
 Post subject: if n is an integer then n is divisible by how many positive
 Post Posted: Wed Jul 13, 2011 1:15 am 
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Students


Posts: 3
source: GMATFix Data Sufficiency

if n is an integer then n is divisible by how many positive integers?

(1) n is the product of 2 different prime numbers
(2) n and 2^(-3) are each divisible by the same number of positive integers

OA: A

My initial answer is D, and i assumed that the question should read as 2^(3), as the negative doesnt make sense. i reckon that n is divisible by 4 positive integers, since 2^3 = 8 = 1, 2, 4, 8.

please kindly advise.
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jnelson0612
 Post subject: Re: if n is an integer then n is divisible by how many positive
 Post Posted: Thu Jul 21, 2011 11:54 pm 
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ManhattanGMAT Staff


Posts: 1857
yi_guang wrote:
source: GMATFix Data Sufficiency

if n is an integer then n is divisible by how many positive integers?

(1) n is the product of 2 different prime numbers
(2) n and 2^(-3) are each divisible by the same number of positive integers

OA: A

My initial answer is D, and i assumed that the question should read as 2^(3), as the negative doesnt make sense. i reckon that n is divisible by 4 positive integers, since 2^3 = 8 = 1, 2, 4, 8.

please kindly advise.


Statement 2, if it is indeed 2^3, is sufficient. 2^3 is 8, which has four factors. You are right that 2^-3 (1/8) makes no sense. I'm not familiar with this source but I think there's something wrong here.

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Jamie Nelson
ManhattanGMAT Instructor
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