SOLUTION: What is the greatest positive integer n such that 2^n is a factor of 12^10?

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Question 151829: What is the greatest positive integer n such that 2^n is a factor of 12^10?
Answer by nabla(475) About Me  (Show Source):
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12^10=(2*2*3)^10=2^(20)3^(10)
So we would suspect that n=20.