Integers on a cube
Source: Indian RMO 2004 Problem 2
February 28, 2006
geometry3D geometry
Problem Statement
Positive integers are written on all the faces of a cube, one on each. At each corner of the cube, the product of the numbers on the faces that meet at the vertex is written. The sum of the numbers written on the corners is 2004. If T denotes the sum of the numbers on all the faces, find the possible values of T.