What is the largest value of integer $n$ such that $98^{98}$ is divisible by $7^n ?$

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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 » Mon May 11, 2020 3:02 am

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What is the largest value of integer $n$ such that $98^{98}$ is divisible by $7^n ?$

A. 98
B. 105
C. 148
D. 164
E. 196

[spoiler]OA=E[/spoiler]

Source: GMAT Club Tests

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Source: Beat The GMAT — Problem Solving | Mon May 11, 2020 3:02 am

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