even divior of n

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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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mkdureja: Senior | Next Rank: 100 Posts; Posts: 38; Joined: Fri Jan 04, 2013 12:55 am; Thanked: 11 times

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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Atekihcan: Master | Next Rank: 500 Posts; Posts: 149; Joined: Wed May 01, 2013 10:37 pm; Thanked: 54 times; Followed by:9 members

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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