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

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

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

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

If n is an odd positive integer,show that (n^(2)-1) is divisible by 8.

It n is a positive integer,prove that 3^(3n)-26n-1 is divisible by 676

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

For any positive integer n,prove that n^(3)-n is divisible by 6

For any positive integer n prove that n^(3)-n is divisible by 6