Suppose that x and y are positive integers such that x^2y^3=46656. What is the sum of all possible values of x?


[Suppose that x and y are positive integers such that x^2y^3=46656. What is the sum of all possible values of x?](/questions/suppose-that-x-and-y-are-positive-integers-such-that)
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x^2y^3=46656

  

  x         y

 216     1  
 108     2  
 72     3  
 54     4  
 36     6  
 27     8  
 24     9  
 18     12  
 12     18  
 9     24  
 8     27  
 6     36  
 4     54  
 3     72  
 2     108  
 1     216

 I will let you sum them up.

