The largest integer n for which 34! Is divisible by `3^n` is

Prove that 33! Is divisible by 2^(19) and what is the largest integer n such that 33! Is divisible by 2^(n) ?

Prove that 33! is divisible by 2^(15). what is the largest integer n such that 33! is divisible by 2^(n).

Find the largest value of n for which 125! is divisible by 6^(n).

The largest integer n for which n+5 divides n^(5)+5 is:

the possible value(s) of positive integer n for which 4^(n)+1 is divisible by 5 is/are

If n is the largest positive integer such that 33! is divisible by 2^(n) , then value of n-30 is.

Show that 27! Is divisible by 2^12 . What is the largest natural number n such that 27 ! Is divisible by 2^n ?

In n is an even number, then the largest natural number by which n(n+1)(n+2) is divisible is