finding zeros
Number Theory
Level
pending
Find the number of zeros at the end of : 100! Or 1 × 2 × 3 ×. . . × 100
The answer is 24.
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1 solution
100! MOD 1E+24 = 0 while 100! MOD 1E+25 = 4E+24.
Total number of factor (2 x 5) decides. There are 24 zeroes.