Question
Tue February 12, 2013 By:

how many zero will be there if we multiply 1,2,3,4.......1000.

Expert Reply
Tue February 12, 2013
1x2x3x4......x1000 = (1000)!
To find the number of zeroes, we will find the highest power of 5 in (1000)!.
[1000/5] = 200
[200/5] = 40
[40/5] = 8
[8/5] = 1
[1/5] = 0
 
Highest power of 5 = 200+40+8+1+0 = 249
Hence, (1000)! contains 249 zeroes.
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