#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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