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## 'Multiplication Squares' printed from http://nrich.maths.org/

In the $2 \times 2$ multiplication square below, the boxes at
the end of each row and the foot of each column give the result of
multiplying the two numbers in that row or column.

The $3 \times3$ multiplication square below works in
the same way. The boxes at the end of each row and the foot of each
column give the result of multiplying the three numbers in that row
or column.

The numbers $1 - 9$ may be used once and once only.

Can you work out the arrangement of the digits in the square so
that the given products are correct?