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If \(p\) is a positive integer and \(p^2\) has total \(17\) positive factors, then find the number of positive integers

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If \(p\) is a positive integer and \(p^2\) has total \(17\) positive factors, then find the number of positive integers

by Gmat_mission » Sun Sep 20, 2020 9:19 am

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If \(p\) is a positive integer and \(p^2\) has total \(17\) positive factors, then find the number of positive integers that completely divides \(p^3\) but does not completely divide \(p?\)

A. 16
B. 17
C. 21
D. 23
E. 24

Answer: A

Source: e-GMAT
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