Multiplication Equation Sudoku

Rules of Multiplication Equation Sudoku

Like the standard sudoku, this sudoku variant has two basic rules:

The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the $9\times9$ grid. At the bottom and right side of the $9\times9$ grid are numbers, each of which is the product of a column or row of unknown digits marked by asterisks. Altogether a set of 18 equations can be formed from the columns and rows of unknown digits and constants.

For example, in the first and second columns beginning from the left of the $9\times9$ grid, the following equations can be formed:

$ *\times* = 40$

and

$*\times*\times*\times* = 576$.

In the fourth and fifth rows beginning from the top of the $9\times9$ grid, the following equations can be formed:

$*\times*\times*\times* = 60$

and

$*\times* = 27$.

After solving all the equations, the puzzle is solved by the usual sudoku technique and strategy.