## Lesson abstract

Students play a game using dice labelled with prime numbers and learn how to use prime factorisations of a number to determine properties of a number. For example they learn how the prime factorisation shows if a number is even or odd, a perfect square or a perfect cube.

## Mathematical purpose (for students)

To use the prime factorisation of a number to determine some of its properties.

## Mathematical purpose (for teachers)

This lesson encourages students to determine properties of a number, such as whether it is a square, odd or even, from its prime factorisation without multiplying. This demonstrates why prime numbers are important.

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