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Mathematics 14 Online
OpenStudy (anonymous):

How many zeros are at the end of 100! (100! means 100 * 99 * 98 * 97 * ... 3 * 2 * 1)

hartnn (hartnn):

there is a formula for this http://en.wikipedia.org/wiki/Trailing_zero

hartnn (hartnn):

tell me if you need help implementing that formula for n=100

hartnn (hartnn):

see the example of 32! given there too.

hartnn (hartnn):

basically you'll just need to do |_ (100/5) _| + |_ (100/5^2) _| =...

hartnn (hartnn):

and since 100 is a multiple of 5 it'll just be (100/5 + 100/25) =...

hartnn (hartnn):

do you still have any doubt on how to find number of zeros at the end ?

hartnn (hartnn):

yes/no ?

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