This is no ordinary Sudoku because it requires mathematical knowledge in addition to logical thinking. This problem offers an engaging context in which to apply knowledge of factors and multiples.
If your students do not know the rules of Sudoku then set aside a little time for them to become familiar with the 'standard' Sudoku.
Work together with the class filling in a few cells to make sure everyone understands the rules.
Then hand out the sheets and invite students to work in pairs, emphasising that they must convince each other of their suggestions before anything gets added onto their papers.
Some clues have lots of possibilities and some have few. Which are which?
Which are the most helpful clues to begin?
Provide students with this possible journey through Multiples Sudoku and suggest they try to retrace the route.
For other Factors and Multiples problems that might help to prepare your students for this task, see Dozens, the Factors and Multiples Game, and the Factors, Multiples and Primes Short Problems collection.