Multiple choice general knowledge

how many 0's are ter in 100!

  1. 24

  2. 23

  3. 20

  4. 25
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A Correct answer
Explanation

The number of trailing zeros in n! equals the sum of floor(n/5) + floor(n/25) + floor(n/125) + ... For 100!, this is floor(100/5) + floor(100/25) + floor(100/125) + ... = 20 + 4 + 0 = 24 zeros. Each count adds the extra 5 factors from higher powers of 5.

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