(3 votes, average: 3.33 out of 5)How many trailing zeroes are there in 100! (100 factorial) ?
See Solution : Zeroes in 100!For every factor of 10, there will be one trailing zero similarly for every factor of 5 there will be one trailing zero (as 5*2 =10, and there are enough number of 2’s). But we have to take care of repetitions.
10, 20,…., 90 = 9 zeros
100 = 2 zeros
5, 15, 25……95 = 10 zeros
and 1 extra 5 in each of 25, 50 and 75 = 3 zeros
so total 9+2+10+3 = 24 zeros.
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(100/25) + (100/5) =24
21
@2987c04409bdefa090e286cd5aa8858c:disqus : nopes its 24, see the solution