Zeros
Number Theory
Level
3
How many trailing number of zeros does the following product end with?
The answer is 249.
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1 solution
As 5×2 is 10, 25×4 is 100, 125×8 is 1000 and 625×16 is 10000, we divide the number 1000 by 5, 25, 125 and 625, then add up the quotients.
1000/5=200
1000/25=40
1000/125=8
1000/625=1(R)375
Number of zeros=200+40+8+1=249