Divide 16 into three natural numbers to make the product of these three numbers the largest, the largest is () Calculate by equation Urgent!

Divide 16 into three natural numbers to make the product of these three numbers the largest, the largest is () Calculate by equation Urgent!

If x + y + Z = 16, l = XYZ, then l = XY (16-x-y) = 16xy-xxy-xyy; if we calculate the partial derivatives of L for X and y so that they are zero, then we get 16y-2xy-yy = 0; 16x-2xy-xx = 0; that is, 16-2x-y = 0; 16-2y-x = 0; obviously, x = y = 16 / 3; because X and y are integers, we have to take