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National and Regional ContestsUSA ContestsUSA - Other Middle and High School ContestsMath Prize For Girls Problems2012 Math Prize For Girls Problems3Math Prize 2012 Problem 3

Math Prize 2012 Problem 3

Source:

September 24, 2012

floor function

Problem Statement

What is the least positive integer

n

such that

n!

is a multiple of

2012^{2012}

?

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