Find the number of zeros in 101! A] 27 B] 21 C] 12 D] 24 Options : A B C D
Question
Find the number of zeros in 101!
A] 27 B] 21 C] 12 D] 24
Options : A B C D
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Solution
The number of zeros at the end of a factorial can be found by calculating the number of times 5 can divide the number. This is because 10 is the product of 2 and 5, and in a factorial, there are usually more 2s than 5s.
Here's how to calculate it:
- Divide 101 by 5, you get 20 (ignore the remainder).
- Divide 101 by 25 (5^2), you get 4.
- Divide 101 by 125 (5^3), you get 0.
Add up these values (20 + 4 + 0), you get 24.
So, the number of zeros at the end of 101! is 24.
Therefore, the answer is D] 24.
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