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# If n=4p, where p is a prime number greater than 2. How many

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Manager
Joined: 15 Sep 2006
Posts: 94
If n=4p, where p is a prime number greater than 2. How many [#permalink]

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30 Jun 2007, 20:29
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If n=4p, where p is a prime number greater than 2. How many positive even divisors does n have, including n?
(A). 2
(B). 3
(C). 4
(D). 6
(E). 8

Senior Manager
Joined: 04 Jun 2007
Posts: 345
Re: PS: How many divisors? [#permalink]

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30 Jun 2007, 21:45
If n=4p, where p is a prime number greater than 2. How many positive even divisors does n have, including n?
(A). 2
(B). 3
(C). 4
(D). 6
(E). 8

C for me.

n can be written as n = 2 * 2 * p (p is a prime number)

So, positive even divisors of n are 2, 2*2, 2*p, 2*2*p.

Therefore, there are 4 such numbers.
Re: PS: How many divisors?   [#permalink] 30 Jun 2007, 21:45
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