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a perfect sq. has three positive divisors..

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a perfect sq. has three positive divisors.. [#permalink] New post 19 Aug 2009, 17:42
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I was wondering if anyone can help me with the explanation for question 241 in the OG11.

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

I dont understand the concept that if a no. has 3 positive divisors it is a perfect sq..HOW???WHY??
We know..
most nos. have even no. od divisors.
prime nos. have exactly 2 divisors,1 and itself..

Can someone follow the same reasonung and explain the concept to me?
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Re: a perfect sq. has three positive divisors.. [#permalink] New post 19 Aug 2009, 17:56
check my answer in this post:
og-11th-edition-ps-241-need-explanation-77441.html#p619780
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Re: a perfect sq. has three positive divisors..   [#permalink] 19 Aug 2009, 17:56
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a perfect sq. has three positive divisors..

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