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Senior Manager
Joined: 11 May 2004
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If n = 4p, where p is a prime number greater than 2, how [#permalink]
10 Dec 2005, 20:30
If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n?
a. 2
b. 3
c. 4
d. 6
e. 8
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Senior Manager
Joined: 11 May 2004
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My working:
Let p = 3
4(3) =12
Divisors of 12 = 1, 12, 2, 6, 3, 4
Even divisors = 12, 2, 6, 4
Try 5
4(5) = 20
Divisors = 1, 20, 2, 10, 4, 5
Even = 20, 2, 10, 4
I would select 4, choice C, but that is not the answer.
Anyone see my mistake?
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SVP
Joined: 24 Sep 2005
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nothing wrong with your reasoning
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VP
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4 seems like the correct answer..unless its asking for total positive factors only
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Current Student
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I get 4, or (C) as well.
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Senior Manager
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The OA said 3, must be a mistake.
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VP
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4 is the answer.
BTW, the OA in the 11th edition is indeed 4.
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CEO
Joined: 20 Nov 2005
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I would suggest not using the real numbers for such questions.
Factors will be 1,n,p,2,4 and 2p. Among these positive odd numbers are n,2,4 and 2p.
Hence answer is 4.
_________________
SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008
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