#math trivia #132 solution

#math trivia for #May11: #132 can be expressed in three ways as the product of positive integers x, y where x-y is a square.  What are they?

Answer:  Consider the possible factorizations of 132 into x*y:

  • 132*1
  • 66*2
  • 44*3
  • 33*4
  • 22*6
  • 12*11

The three factorizations where x-y is a square are 66*2, 22*6, and 12*11.

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