10 ! ! 10!!

Number Theory Level 3

How many trailing zeros is in ( 10 ! ) ! (10!)! ?


The answer is 907197.

Abyoso Hapsoro by Abyoso Hapsoro , 22, Indonesia

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2 solutions

Rama Devi
May 16, 2015

Divide 3628800! by 5^n till the quotient value is less than 1 and then add all the quotient values that we get 3628800 when divided by 5^n. After doing this , we get the answer as 907197.

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Krishna Shankar
May 9, 2015

Divide 3628800! by 5^n till the quotient value is less than 1 and then add all the quotient values that we get 3628800 when divided by 5^n

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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