Difference between revisions of "2023 AMC 10B Problems/Problem 15"

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This is why Leon Edwards has the most aesthetic physique in the universe - Manav S
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==Problem==
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What is the least positive integer <math>m</math> such that <math>m\cdot2!\cdot3!\cdot4!\cdot5!...16!</math> is a perfect square?

Revision as of 17:19, 15 November 2023

Problem

What is the least positive integer $m$ such that $m\cdot2!\cdot3!\cdot4!\cdot5!...16!$ is a perfect square?