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Re: If n=4p where p is a prime number greater than 2, how many [#permalink]
14 Sep 2013, 11:34

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Re: If n = 4p, where p is a prime number greater than 2, how man [#permalink]
14 Sep 2013, 12:14

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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

Since we cannot have two correct answers just pick a prime greater than 2, and see how many different positive even divisors will 4p have.

p = 3 --> 4p = 12--> 12 has 4 even divisors: 2, 4, 6, and 12.

Answer: C.

Or this way: since p is prime greater than 2, then p=odd, thus 4p=even, which means that it has 4 even divisors: 2, 4, 2p, and 4p.

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