No. Of Zeros
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No. of zeros at the end of the product n! Definition:
Number
value
n! = 1 x 2 x 3 x … x n
No. of zeros at the end
1! 1 0 2! 2 0 3! 6 0 4! 24 0 5! 120 1 6! 720 1 7! 5040 1 . . . . . . . . . 10! 3628800 2 . . . . . . . . . 15! 1307674368000 3 . . . . . . . . . How many zeros will be there at the end of 50!, 100!, 125! ?
Direct Formula: No. of zeros at the end of product n! = [ n / 5] + [ n / 52 ] + [ n / 53 ] + … Where [ ] represents greatest integer function. For example: [2.44] = 2, [12.9998] = 12, [-2.73] = -3 etc.
Number
value
n! = 1 x 2 x 3 x … x n
No. of zeros at the end
1! 1 0 2! 2 0 3! 6 0 4! 24 0 5! 120 1 6! 720 1 7! 5040 1 . . . . . . . . . 10! 3628800 2 . . . . . . . . . 15! 1307674368000 3 . . . . . . . . . How many zeros will be there at the end of 50!, 100!, 125! ?
Direct Formula: No. of zeros at the end of product n! = [ n / 5] + [ n / 52 ] + [ n / 53 ] + … Where [ ] represents greatest integer function. For example: [2.44] = 2, [12.9998] = 12, [-2.73] = -3 etc.
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