Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: prove that 31^3 | 100!
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NugoRama (4800)

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Assuming the question to be...

Prove that 31^3 divides 100!.

 

100! = 1x2x3x...x31x....x62x.....x93x....100.

         = (something natural) x (31x62x93)

         =(something bigger and natural) x (31x31x31)

hence, 31^3 divides 100!.

The end..

 


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