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MATH / What is the greatest positive integer n such that 3^(n) is a factor of 200!?

Problem

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problem

What is the greatest positive integer nn such that 3n3^n is a factor of 200!200!?
Plain-text mathematical notation (without MathML)
What is the greatest positive integer n such that 3^(n) is a factor of 200!?
Original LaTeX notation
What is the greatest positive integer $n$ such that $3^n$ is a factor of $200!$?

level

Level 4

type

Counting & Probability

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Source and history

Official source

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