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 am; Followed by:3 members

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

by VJesus12 » Wed Nov 17, 2021 12:50 pm

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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 | Wed Nov 17, 2021 12:50 pm

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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 \(n?\)

This topic has expert replies

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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