Difference between revisions of "1992 AIME Problems/Problem 15"

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== See also ==
 
== See also ==
* [[1992 AIME Problems/Problem 14 | Previous Problem]]
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{{AIME box|year=1992|num-b=14|after=Last Question}}
 
 
* [[1992 AIME Problems]]
 

Revision as of 15:07, 11 March 2007

Problem

Define a positive integer $n^{}_{}$ to be a factorial tail if there is some positive integer $m^{}_{}$ such that the decimal representation of $\displaystyle m!$ ends with exactly $\displaystyle n$ zeroes. How many positiive integers less than $\displaystyle 1992$ are not factorial tails?

Solution

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See also

1992 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Last Question
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All AIME Problems and Solutions