find thw largest value of n for which 125! is divisible by 6^n
Since there are such a lot of 2s in the prime factorisation of 125! this is equivalent to asking how many 3s are there in the prime factorisation of 125!, and you can just count them.
To expand on Also sprach Zarathustra's post in general if is prime then the for which (this means that but ) is . To understand why this is try to understand why