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# If sqrt(X) is a positive integer, is sqrt(X) a prime number?

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Manager
Joined: 17 Aug 2006
Posts: 87
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If sqrt(X) is a positive integer, is sqrt(X) a prime number? [#permalink]  29 Jul 2007, 10:27
If sqrt(X) is a positive integer, is sqrt(X) a prime number?

1) X is divisible by exactly 3 positive integers
2) All positive factors of X are odd

DATA SUFF
Director
Joined: 03 May 2007
Posts: 894
Schools: University of Chicago, Wharton School
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Kudos [?]: 63 [0], given: 7

Re: EXP 6 sqrt X [#permalink]  29 Jul 2007, 20:02
nfa1rhp wrote:
If sqrt(X) is a positive integer, is sqrt(X) a prime number?

1) X is divisible by exactly 3 positive integers
2) All positive factors of X are odd

DATA SUFF

A.

1: x is not a prime. x can be a square of odd prime. x = 3^2, 5^2 and so on.

2: nsf. x could or could not be a prime. x = 3, 5, 9, 15, 25, 125 and so on.
Director
Joined: 09 Aug 2006
Posts: 525
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Re: EXP 6 sqrt X [#permalink]  29 Jul 2007, 20:45
nfa1rhp wrote:
If sqrt(X) is a positive integer, is sqrt(X) a prime number?

1) X is divisible by exactly 3 positive integers
2) All positive factors of X are odd

DATA SUFF

St 1 : Suff. You can try with few eg. (1,3,9), (1,5,25)
St2 : In-suff : Eg. 81
Re: EXP 6 sqrt X   [#permalink] 29 Jul 2007, 20:45
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