Fifty factorial 1

Number Theory Level 3

Find the number of trailing number of zeros can you find at the end of the decimal representation of 50 ! 50! .

Notation : ! ! denotes the factorial notation. For example, 8 ! = 1 × 2 × 3 × ⋯ × 8 8! = 1\times2\times3\times\cdots\times8 .


The answer is 12.

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Ayush G Rai by Ayush G Rai , 20, India

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1 solution

Prince Loomba
May 28, 2016

We have to find the number of 5 in 50!, as 2 are more than 5 so 5 will be the limiting number for 10, and the method is [50/5]+[50/25]+[50/125]... Sum is 12

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