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Ordered Triple

Math brain teasers require computations to solve.

 

Puzzle ID:#40366
Fun:** (1.85)
Difficulty:*** (2.65)
Category:Math
Submitted By:shenqiangAcn****!!
Corrected By:stil

 

 

 



Find the number of ordered triples (A, B, C) where A, B and C are positive integers, A is a factor of B, A is a factor of C, and A+B+C=30.

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Hint

If A is a factor of both B and C, A must be a factor of the three numbers' sum 30.
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