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Puzzle #203: Can you solve the magic square?

Can you solve this week’s arithmetical puzzle, Multiple magic? Plus the answer to puzzle #202

4 January 2023

#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 …

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