Number Theory

Factorials

Trailing Number of Zeroes

         

How many trailing zeros does 19!19! have?

Find the number of trailing zeros in 19!×59!×158!.19!\times59!\times158!.

If x!x! has 112112 trailing zeros, what is the smallest possible integer x?x?

How many trailing zeros does 247!247! have?

Find the number of trailing zeros in 303!+304!+305!.303!+304!+305!.

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