Difference between revisions of "1995 AIME Problems/Problem 6"

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== Problem ==
 
== Problem ==
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Let <math>\displaystyle n=2^{31}3^{19}.</math>  How many positive integer divisors of <math>\displaystyle n^2</math> are less than <math>\displaystyle n_{}</math> but do not divide <math>\displaystyle n_{}</math>?
  
== Solution ==
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== Solution ==== See also ==
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== See also ==
 
 
* [[1995 AIME Problems/Problem 5 | Previous problem]]
 
* [[1995 AIME Problems/Problem 5 | Previous problem]]
 
* [[1995 AIME Problems/Problem 7 | Next problem]]
 
* [[1995 AIME Problems/Problem 7 | Next problem]]
 
* [[1995 AIME Problems]]
 
* [[1995 AIME Problems]]

Revision as of 00:11, 22 January 2007

Problem

Let $\displaystyle n=2^{31}3^{19}.$ How many positive integer divisors of $\displaystyle n^2$ are less than $\displaystyle n_{}$ but do not divide $\displaystyle n_{}$?

Solution ==== See also