Re: Powers of a Number Contained in a Factorial
I hope you are talking about this problem: How many zeroes will be there in the end of 25! when expanded in base 14 ?
Just take a much simpler case. If in place of base-14, it is base-10 then how do you find number of trailing zeroes - by finding highest power of 10 that divide the number completely. Isn't it?
Exactly same way when you want to findout number of trailing zeroes in base-14, then you just need to find that what is the highest power of 14 that divides the number completely.