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What is the number of zeros of the product of the first 100
numbers ?
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Answer Posted / deepak
Any Number N you want to find the number of zeros in
product expand it in Standard form say for example
(22*25*20*11)=(2*11)*(5*5)*(2*5*2)*(11)
No of 2's= 3
No of 5's= 3 as 2*5=10 so there are 3 combinations of 2*5
so totaly 3 zeros.
For Fafctorial just use this 100! = [100/5]+[100/25]=20+4=24
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