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2011 UNCO Math Contest II Problems/Problem 1

Revision as of 20:39, 19 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == The largest integer <math>n</math> so that <math>3^n</math> evenly divides <math>9! = 1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8\cdot 9</math> is <math>n =...")
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Problem

The largest integer $n$ so that $3^n$ evenly divides $9! = 1\cdot 2\cdot 3\cdot 4\cdot 5\cdot 6\cdot 7\cdot 8\cdot 9$ is $n = 4$. Determine the largest integer $n$ so that $3^n$ evenly divides $85! = 1\cdot 2\cdot 3\cdot 4\cdots 84\cdot 85$.


Solution

See Also

2011 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by
First Problem 		Followed by
Problem 2
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions
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