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If \(N\) is a positive integer, such that the total number of factors of \(N\) is \(q,\) and the sum of powers of different prime factors as expressed in the prime factorization form of \(N\) is \(p,\) is \(p^q\) even?
(1) \(q\) is odd
(2) \(p\) is even
Answer: D
Source: e-GMAT
(1) \(q\) is odd
(2) \(p\) is even
Answer: D
Source: e-GMAT
