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even divior of n

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by pradeepkaushal9518 » Thu May 23, 2013 7:57 pm
https://gmatmania.com/Gmattopic_Detail.aspx?topicid=505

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

(A) Two
(B) Three
(C) Four
(D) Six
(E) Eight

plz explain
A SMALL TOWN GUY
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Source: — Problem Solving |

by mkdureja » Thu May 23, 2013 11:35 pm
n=4p.
n=2*2*p
As p is a prime above 2 , it doesn't have any even divisors.
Even divisors of n:
2, 4, 2p, 4p
Ans C
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by Atekihcan » Fri May 24, 2013 8:53 am
Take p = 3
So, n = 4p = 12

Number of even divisors of 12 is 4 (2, 4, 6, and 12)

Answer : C
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