\(\left(n+4\right)⋮\left(n-1\right)\\ \Rightarrow\left(n-1+5\right)⋮\left(n-1\right)\)
\(Mà\left(n-1\right)⋮\left(n-1\right)\Rightarrow5⋮\left(n-1\right)\Rightarrow n-1\inƯ\left(5\right)=\left\{-5;-1;1;5\right\}\Rightarrow n\in\left\{-4;0;2;6\right\}\)
Mà n là số tự nhiên \(n\in\left\{0;2;6\right\}\)