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1 vote
3 answers
2k views

Find the number of trailing zeros in 50! [duplicate]

My attempt: 50! = 50 * 49 *48 .... Even * even = even number Even * odd = even number odd * odd = odd number 25 evens and 25 odds Atleast 26 of the numbers will lead to an even ...
user9995331's user avatar
6 votes
2 answers
9k views

Total number of divisors of factorial of a number

I came across a problem of how to calculate total number of divisors of factorial of a number. I know that total number of divisor of a number $n= p_1^a p_2^b p_3^c $ is $(a+1)*(b+1)*(c+1)$ where $a,...
DCoder's user avatar
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