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No calc please.

 May 28, 2019

The number 12 can be broken up to \(x^2*y^2\), since the number of factors is \((2+1)(2+1)=3\cdot3=9.\) The three numbers do not work here since there are no possible outcomes.


Thus, we can have: \(2^2*3^2=36.\)






I do not think any more possible outcomes are there, and you can still check my work.


Thus, the answer is \(36+100+196=\boxed{332}.\)

 May 28, 2019

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