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2021 April MIMC 10 Problems/Problem 11

Revision as of 17:17, 22 April 2021 by Cellsecret (talk | contribs) (Created page with "How many factors of <math>16!</math> is a perfect cube or a perfect square? <math>\textbf{(A)} ~158 \qquad\textbf{(B)} ~164 \qquad\textbf{(C)} ~180 \qquad\textbf{(D)} ~1280 \...")
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How many factors of $16!$ is a perfect cube or a perfect square?

$\textbf{(A)} ~158 \qquad\textbf{(B)} ~164 \qquad\textbf{(C)} ~180 \qquad\textbf{(D)} ~1280 \qquad\textbf{(E)} ~3000$

Solution

To be Released on April 26th.

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