What is the greatest value of \(x\) such that \(15^x\) completely divides \(300! ?\)

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by VJesus12 » Sun Jan 17, 2021 4:53 am

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What is the greatest value of \(x\) such that \(15^x\) completely divides \(300! ?\)

A. 20
B. 54
C. 74
D. 148
E. 222

Answer: C

Source: e-GMAT

Source: Beat The GMAT — Problem Solving | Sun Jan 17, 2021 4:53 am

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