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If the integer n has exactly three positive divisors,

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Senior Manager
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Joined: 25 Nov 2006
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If the integer n has exactly three positive divisors, [#permalink] New post 02 Mar 2008, 14:11
00:00
A
B
C
D
E

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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: OG PS - 241 [#permalink] New post 02 Mar 2008, 14:15
a number that has only 3 factors is a square of a prime.

example:
2 is prime.
the square of 2 is 4.

factors of 4: 1,2,4

n^2 will be 16
factors of 16
2^4
4+1 =5
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Re: OG PS - 241 [#permalink] New post 02 Mar 2008, 15:27
what about 9?
the same?
5 divisors of 81?
Re: OG PS - 241   [#permalink] 02 Mar 2008, 15:27
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If the integer n has exactly three positive divisors,

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