Divisor/Prime Number Question

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lpycharles: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Aug 18, 2008 3:32 am

by lpycharles » Thu Aug 21, 2008 7:58 pm

OG 5.5 Problem Solving Q207

If n=4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n?

I have read the explanations but still haven't got it yet. Can anyone explain this to me? Thanks!

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Source: Beat The GMAT — Problem Solving | Thu Aug 21, 2008 7:58 pm

sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

Re: Divisor/Prime Number Question

by sudhir3127 » Thu Aug 21, 2008 8:10 pm

lpycharles wrote:OG 5.5 Problem Solving Q207

If n=4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n?

I have read the explanations but still haven't got it yet. Can anyone explain this to me? Thanks!

Plug in and check....

P is prime> 2 means its an odd number ( we know 2 is the only even prime)

assume p =3

n= 4*3 =12

even factors of 12 are 2,4,6 and 12.

hence the answer is 4.

Hope that helps..

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lpycharles: Junior | Next Rank: 30 Posts; Posts: 21; Joined: Mon Aug 18, 2008 3:32 am

by lpycharles » Thu Aug 21, 2008 8:29 pm

Thanks it helps!

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