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1. What is the maximum integer n such that 3^n is a factor of the product of all the odd inegers between 1 and 200?

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there are:
66 multiples of 3
22 multiples of 9
7 multiples of 27
2 multiples of 81

so the product of them all is divisible by
3^(66+22+7+2) = 3^97
but not by any higher power of 3

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