January 6–January 12, 2009

Problem

A positive integer is written on each face of a cube. Each corner is then assigned the product of the numbers on the three adjacent faces. The sum of the numbers assigned to the vertices is 1001. Find the sum of the numbers written on the faces of the cube.

Solution

here

List of solvers

Tyler Cooper, Michael Draper, Michael James Duncan (undergrad); Aneesh Shankar Hariharan, Koopa Koo, Jacob Lewis, Dustin Moody (graduate); Gary Raymond (staff); Jack Lee (faculty); Aaron Dilley (alumni); Dean Anderson, David Bander, Mike Goodman, Chang Hai Bin, Brad Heller, Lawrence Hon, Peiyush Jain, Shyam Krishnamorthy, Vishwas Kulkarni, Elizabeth McCranie, Anand Rajagopalan, Lloyd Sakazaki, Justin Shih, Patrick Tam (outside).

Tyler Cooper wins the prize!