What is the number of zeros at the end of the product of the numbers from 1 to 100?

What is the number of zeros at the end of the product of the numbers from 1 to 100?

Ques:- What is the number of zeros at the end of the product of the numbers from 1 to 100?
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One Answer on this Question

  1. 1×2×…100=100!
    Number of zeros in product of n numbers =[5n​]+[52n​]+[53n​]+…
    Number of zeros in product of 100 numbers =[5100​]+[52100​]+[53100​]
    where [.] is greatest integer function
    =[20]+[4]+[0.8]=20+4=24

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