If $p$ is a positive integer, what is the greatest integer that must be a factor of $p^6 - p^2?$ - The Beat The GMAT Forum

If $p$ is a positive integer, what is the greatest integer that must be a factor of $p^6 - p^2?$

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pmFollowed by: 5 members; Thanked: 6 times

by Vincen » Wed Nov 17, 2021 7:05 am

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If $p$ is a positive integer, what is the greatest integer that must be a factor of $p^6 - p^2?$

A. 5
B. 12
C. 19
D. 25
E. 16

Answer: B

Source: Manhattan GMAT

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Source: Beat The GMAT — Problem Solving | Wed Nov 17, 2021 7:05 am

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