the number 1,2,3,4,.......1000 are multiplied together. The number of zeros at the end of the product must be ?
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Answer:
249
Step-by-step explanation:
to find no of zeroes at the end of product we need to find no of 5 and no of 2 present when we factorise all the nos. as every2*5 will give one 0 at the end of result.
to find no of 5
1000/5=200
1000/5^2=40
1000/5^3=8
1000/5^4=1.6
so no of 5s available till 1000 is 200+40+8+1=249
as no of 2s are far more than 5 we need not count them.
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