If $n=9!-6^4,$ which of the following is the greatest integer $k$ such that $3^k$ is a factor of $n ?$

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VJesus12: Legendary Member; Posts: 2276; Joined: Sat Oct 14, 2017 6:10 amFollowed by: 3 members

by VJesus12 » Mon Sep 21, 2020 6:57 am

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If $n=9!-6^4,$ which of the following is the greatest integer $k$ such that $3^k$ is a factor of $n ?$

A. 1
B. 3
C. 4
D. 6
E. 8

Answer: D

Source: Official Guide

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Source: Beat The GMAT — Problem Solving | Mon Sep 21, 2020 6:57 am

DHRJ007: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Thu Sep 17, 2020 9:27 amFollowed by: 1 member

Re: If $n=9!-6^4,$ which of the following is the greatest integer $k$ such that $3^k$ is a factor of $n ?$

by DHRJ007 » Mon Sep 21, 2020 8:04 am

D will be the answer.
3x3x3x3x3x3x31

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