100square This is a game for one or two players.

The first player chooses a positive even number that is less than 50, and crosses it out on the 100 square grid.

The second player chooses a number to cross out. The number must be a factor or multiple of the previous number.

Players continue to take it in turns to cross out numbers, at each stage choosing a number that is a factor or multiple of the number just crossed out by the other player.

The first person who is unable to cross out a number loses.

For one player, or as a class competition, follow the same rules and see who can make the longest chain of numbers.

Click here to download Notes for Teachers.

Click here to download a page of 100 squares.

Here is an interactivity for this game on NRICH where you can download a version to your own tablet.

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