For what maximum value of n will the expression 10200!/504^n be an integer.
Answer after some discussion.
Answer after some discussion.
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Can you explain this further ? I still dont understand how u got to 1698. What do u mean by successively dividing by 7?Chitts wrote:What i tried to do is ...
504 is (3^2)*(2^3)*(7).
Now i calculated the highest power of 7 which would be contained in 10200!. This can be done using the method where the 10200 would be successively divided by 7 and adding on the quotitients. Similarly we need to find for 2 and 3.
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