We have to find out the number of zero’s in 100!
To find number of zero use the given method
- Divide 100 by 5 and its subsequent quotients by 5 as long as the quotient is nonzero (and each time ignore any nonzero remainder).
- The final step is add up all these nonzero quotients and that will be the number of factors of 5 in 100!.
100/5 = 20
20/5 = 4
Since 4/5 has a zero quotient, we can stop here.
We notice that 20 + 4 = 24, so there are 24 factors. So 100! ends with 24 zeros.
100! ends with 24 zeros.