#203 Multiple magic
Set by Howard Williams
This magic square has been known since ancient times. Each row, column and diagonal of three numbers adds to the same magic constant, 15.
There is, however, a different type of 3×3 magic square, in which every row, column and diagonal can be multiplied together to produce the same number. There are plenty of ways to do this, but if every number in the square has to be a different, positive whole number, then the smallest example has a magic constant of 4096.
Which numbers go where in the square?
Solution next …