Product Sudoku
Product Sudoku printable worksheet
Product Sudoku printable worksheet for recording your journey
Product Sudoku printable worksheet to see a possible journey
By Henry Kwok
Rules of Product Sudoku
Like a conventional Sudoku, this Product Sudoku has two basic rules:
1. Each column, row and $3 \times 3$ subgrid must have the numbers 1 to 9.
2. No column, row or subgrid can have two cells with the same number.
The puzzle can be solved with the help of the numbers in the top parts of certain cells. These numbers are the products of the digits in all the cells horizontally and vertically adjacent to the cell.
A Short Demonstration
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DOTS Division
Take any pair of two digit numbers x=ab and y=cd where, without loss of generality, ab > cd . Form two 4 digit numbers r=abcd and s=cdab and calculate: {r^2 - s^2} /{x^2 - y^2}.