Difference between revisions of "2005 AIME II Problems/Problem 4"

 
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== Problem ==
 
== Problem ==
The director of a marching band wishes to place the members into a formation that includes all of them and has no unfilled positions. If they are arranged in a square formation, there are 5 members left over. The director realizes that if he arranges the group in a formation with 7 more rows than columns, there are no members left over. Find the maximum number of members this band can have.  
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Find the number of positive integers that are divisors of at least one of <math> 10^{10},15^7,18^{11}. </math>
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== Solution ==
 
== Solution ==
 
== See Also ==
 
== See Also ==
 
*[[2005 AIME II Problems]]
 
*[[2005 AIME II Problems]]

Revision as of 22:19, 8 July 2006

Problem

Find the number of positive integers that are divisors of at least one of $10^{10},15^7,18^{11}.$

Solution

See Also

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