What is the largest positive 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 .

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

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

If n is positive integer show that 9^n+7 is divisible 8

Find the largest positive integer n such that 2^(n) divides 3^(4096)-1

If n is a positive integer, then show that 6^(n)-5n-1 is divisible by 25

If n is a positive integer, show that: 4^n-3n-1 is divisible by 9

For every positive integer n, prove that 7^n-3^n is divisible by 4.

If n is a positive integer, show that 4^n -3n -1 is divisible by 9

For any positive integer n , prove that n^3-n divisible by 6.