Factors - Find pairs of factors

In this engaging mathematical game designed to enhance understanding of factors, players focus on finding pairs of factors for two-digit numbers. The game requires simple materials: just paper and pencil. The objective is to identify pairs of factors for numbers constructed from the digits 2, 3, 4, 5, 6, or 0. Players take turns selecting a two-digit number using these digits. Once a number is chosen, the player must determine if it has 3, 4, or 5 as a factor. If so, they then calculate the corresponding partner factor, which will be their score for that turn.

For example, if a player creates the number 36 from the digits 3 and 6, they would identify that 36 has the factors 3 and 4. The partner of 4 is 9, and the partner of 3 is 12. Since the objective is to score the highest possible number, the player would record a score of 12. It's important to keep track of the numbers used, as each two-digit number can only be utilised once during the game. The winner is determined after five rounds, with the highest total score declaring victory. The game also serves as a practical application of 'divisibility' rules, such as recognising that numbers divisible by 4 are even, those divisible by 5 end in 5 or 0, and numbers divisible by 3 have a digit sum that is a multiple of 3. This not only aids in factor identification but also reinforces the understanding of divisibility within the number system.