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

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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