What is the number of zeros of the product of the first 100 numbers ?

What is the number of zeros of the product of the first 100 
numbers ?

Ques:- What is the number of zeros of the product of the first 100 numbers ?
1 8777

2 Answers on this Question

  1. 24.
    exp: 0 is formed by multiplying 5 with 2. so first we find
    how many 5’s and 2’s are there in 100!.
    No of 5’s : 100/5=20/5=4/5.
    20 +4 =24.
    No of 2’s : 100/2=50/2=25/2=12/2=6/2=3/2=1/2.
    50 +25 +12 +6 +3 +1.
    It has 24 5’s and 2’s.
    so the no. of zeros=24.

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