Trailing zeros of 100!

MediumCombinatorics~4m

How many trailing zeros does 100!100! have?

Show hints (2)+
  1. Trailing zeros count factors of 10 = 2 × 5.
  2. Factors of 5 are scarcer — count those (including 25).

Answer

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24

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Asked at: Citadel, Two Sigma

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