Find the no of zero’s in 124!.Options :20242832

The number of zeros at the end of a factorial can be found by calculating the number of times the number 10 is a factor in the numbers 1 to n. Since 10 is a product of 2 and 5, we just need to count the number of times 5 is a factor in the numbers 1 to n, because there are always more factors of 2.

Here are the steps to find the number of zeros in 124!:

1. Divide 124 by 5, you get 24.8. Since we can't have a fraction of a factor, we round down to 24. This means there are 24 numbers that have 5 as a factor between 1 and 124.

2. But wait, numbers like 25, 50, 75, 100, and 125 have two factors of 5. So, we need to know how many numbers have 25 as a factor. Divide 124 by 25, you get 4.96. Round down to 4.

3. Add the two counts together: 24 (from step 1) + 4 (from step 2) = 28.

So, there are 28 zeros at the end of 124!.

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