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# 241 if the integer n has exactly three positive divisors,

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SVP
Joined: 04 May 2006
Posts: 1892
Schools: CBS, Kellogg
241 if the integer n has exactly three positive divisors, [#permalink]

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26 Feb 2008, 19:47
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

241 if the integer n has exactly three positive divisors, including 1 and n, how many positive divisors does n^2 have?

A.4
B.5
C.6
D.8
E.9
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Intern
Joined: 19 Jun 2007
Posts: 13

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26 Feb 2008, 20:27
Is this E .

The number of factors are 9.
Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12

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26 Feb 2008, 23:46
just pick a number

say 4... (divisiors are 1, 2 and 4)

in other words N is a square of a prime...

so n^2 is like prime^4

any prime number n raised to m (i.e n^m) will have m+1 divisors

5 it is.
Re: 241. divisors   [#permalink] 26 Feb 2008, 23:46
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