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

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 the least common multiple of m and n is 24, then what is the first integer larger than 3070 that is divisible by both m and n?

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

If n in N , then 3^(2n)+7 is divisible by

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

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

m is said to be related to n if m and n are integers and m-n is divisible by 13. Does this define an equivalence relation?

m is said to be related to n if m and n are integers and m-n is divisible by 13. Does this define an equivalence relation?