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.)
(In reply to
Solution by Sing4TheDay)
The given mmagic square (mult. magic square),
2 36 3
9 6 4
12 1 18
can be described in terms of its number of factors that are 2 and that are 3 as two separate additive magic squares:
1 2 0
0 1 2
2 0 1
and
0 2 1
2 1 0
1 0 2
the first being powers of 2 and the second powers of 3.

Posted by Charlie
on 20040716 11:53:08 