Key learning points

1. Divisibility tests can help identify factors of a number.
2. Using factors pairs it is possible to systematically find all the factors of an integer.
3. It is possible to identify common factors by finding all the factors of 2 or more numbers and comparing them.
4. It is possible to identify common factors of large numbers by listing all the factors but this is time consuming.
5. To simplify fractions it may be helpful to identify the highest common factor.

Common misconception

Keywords

• Numerical factor - A numerical factor is a factor that is an integer.

• Product - A product is the result of two or more numbers multiplied together.

• Divisibility - Divisibility is a number’s ability to be exactly divided by another number, leaving no remainder.