Question

Find the maximum value of n such that 157! Is perfectly divisible by 10n.

Answer 1

Explanation:

12 = 2 x 2 x 3

Lets find out the power of “3” in 157!

157/3 = 52

52/3 = 17

17/3 = 5

5/3 = 1

So,52+17+5+1 = 75

We know that using the same method if we calculate the value for power of “2” then it would be much greater than 75.

So, we can conclude that we need n = 75 to have prefect divisible