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Vincen
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If the square root of \(p^2\) is an integer greater than 1, which of the following must be true?
I. \(p^2\) has an odd number of positive factors
II. \(p^2\) can be expressed as the product of an even number of positive prime factors
III. \(p\) has an even number of positive factors
A. I
B. II
C. III
D. I and II
E. II and III
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
I. \(p^2\) has an odd number of positive factors
II. \(p^2\) can be expressed as the product of an even number of positive prime factors
III. \(p\) has an even number of positive factors
A. I
B. II
C. III
D. I and II
E. II and III
[spoiler]OA=D[/spoiler]
Source: Manhattan GMAT
