I found this game on the latest update on the terrific website, Enriching Maths.

 

This is a game for two players.

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

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

As a challenge – What is the longest sequence of numbers you were able to  cross out? Post your solutions.

A full screen version of the game can be found here.