\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Find the coordinates of the point \(M\) whose image is \(M'(2,4)\) under a homothety with center \(A(0,0)\) and scale factor \(2\).
\(M(\)
\(,\)
\()\)