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# Finding highest power of a number in a factorial

A
Anubhav
25/07/2019 0 0

Suppose we want to find highest power of a number(n) in n factorial m

It is calculated by

=[m/n]+[m/n*n]+[m/n*n*n]....

where [] is greatest integer

Example if we want to find highest power of 5 in 30 factorial

It will be [30/5]+[30/25]

=6+1

So highest power of 5 in 30 factorial is 7

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