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Ordered Triple
Category:  Math 
Submitted By:  shenqiang 
Fun:  (1.85) 
Difficulty:  (2.65) 
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.
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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