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241 if the integer n has exactly three positive divisors,

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Joined: 04 May 2006
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241 if the integer n has exactly three positive divisors, [#permalink] New post 26 Feb 2008, 18:47
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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Re: 241. divisors [#permalink] New post 26 Feb 2008, 19:27
Is this E .

The number of factors are 9.
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Re: 241. divisors [#permalink] New post 26 Feb 2008, 22:46
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, 22:46
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241 if the integer n has exactly three positive divisors,

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