What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$

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AAPL: Moderator; Posts: 2376; Joined: Sun Oct 29, 2017 2:08 pm; Followed by:2 members

What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$

by AAPL » Wed Nov 27, 2024 6:07 pm

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What is the largest value of $x$ for which $12^x$ leaves zero remainder when it divides $\dfrac{50!}{10!}?$

A. $9$
B. $18$
C. $19$
D. $22$
E. $39$

OA B

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