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by sudhir3127 » Sat Jul 26, 2008 6:26 am
For what maximum value of n will the expression 10200!/504^n be an integer.

Answer after some discussion.
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by Chitts » Sat Jul 26, 2008 8:09 am
I am getting the answer as 1698. Is it correct?
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by Chitts » Sat Jul 26, 2008 8:15 am
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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Chitts
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by sudhir3127 » Sat Jul 26, 2008 8:18 am
yeah 1698 is the right answer... ur approach is right .... how much time did u take for it?
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by acecoolan » Sat Jul 26, 2008 9:19 am
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.
Can you explain this further ? I still dont understand how u got to 1698. What do u mean by successively dividing by 7?

Is there anothey way for this?
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