The number 100 has two trailing zeros. How many trailing zeros does - ProProfs Discuss
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The number 100 has two trailing zeros. How many trailing zeros does 100! have?

This question is part of SAT Math Questions
Asked by Proprofs, Last updated: Oct 02, 2018

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proprofs

Proprofs

Answered on Oct 03, 2018

24

Every trailing zero indicates a factor of 10 or 5 2. Since there are many more factors of 2 than 5s, you should count the number of factors of 5 there are in 100! Since it is one big product (100 99 98...), count: 5, 10, 15, 20, 25 (5 5), 30, 35, 40, 45, 50 (55), 55, 60, 65, 70, 75 (55), 80, 85, 90, 95, 100 (55). The total number of 5s is 24.
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