Given n=2m and m ∈ N, Prove n!/2^m ∈ N

[@samdaman2510]

It is not that hard to prove since every time m increases by one n! Is multiplied by another even number so they cancel out

[@MyOneFiftiethOfADollar]

@@samdaman2510 that’s true, but do you think what you said would be accepted as a proof on an exam in a number theory or discrete math course?