Question

if 100 factorial is divided by 3^n then find the largest value of n


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Answer 1

Answer:

Find the maximum power of 3 in 157!

Which is [157/3]+[157/9]......=52+17+5+1=75

Now maximum power of 9 in it=[75/2]=37

So n can be any integer from 0 to 37

If we are considering division only by positive integers