A (normal) magic square, containing 9 distinct positive integers, could be made as follows:
2 9 4
7 5 3
6 1 8
Note all rows/columns/diagonals
sum to 15.
Can you find the "smallest" multiplication magic square using 9 distinct positive integers where the product of all rows/columns/diagonals are equal?
(One multiplication magic square is smaller than another if its magic product is less than the other's.)
I agree with the respective observations made by Charlie and Sing4TheDay that the following is the smallest muliplicative magic square (disregarding the reflections and rotations) which satisfy the conditions of the problem.
2....36...3
9.....6....4
12...1...18
Edited on May 20, 2007, 2:44 pm