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The product of the positive integer divisors of a positive integer n is 729. Find n.

 Aug 22, 2018
 #1
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n  = 27

 

The divisors  are

 

1  3   9  27

 

And their product   is   1 * 3 * 9 * 27  =   27 * 27  = 27^2   =  729

 

 

cool cool cool

 Aug 22, 2018

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