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22 Sep 2009, 20:07
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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Please, explain...
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23 Sep 2009, 03:02
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My pick is A.
(1) p^2 has 3 different positive factors --> p^2=1*p*p (1 and p^2 are factors of p^2, so must be p) --> p has 2 different positive factors. (In fact p can be any prime number) --> sufficient
(2) p can be any multiple of 14 --> not sufficient
(1) p^2 has 3 different positive factors --> p^2=1*p*p (1 and p^2 are factors of p^2, so must be p) --> p has 2 different positive factors. (In fact p can be any prime number) --> sufficient
(2) p can be any multiple of 14 --> not sufficient
24 Sep 2009, 07:05
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If p^2 has 3 factors and p is an integer, p has to be a prime number.
A prime number has only 2 factors: 1 and the prime number itself.
If p is divisible by 14, p can have many factors. Try p= 14 and p=42
Therefore A.
A prime number has only 2 factors: 1 and the prime number itself.
If p is divisible by 14, p can have many factors. Try p= 14 and p=42
Therefore A.
