Question

Define

(i) factor
(ii) multiple

Give four examples of each.

Answer 1

(i) Factor: A factor of a number is an exact divisor of that number.
For example, 4 exactly divides 32. Therefore, 4 is a factor of 32.

Examples of factors are:

1. 2 and 3 are factors of 6 because 2 $\times$ 3 = 6
2. 2 and 4 are factors of 8 because 2 $\times$ 4 = 8
3. 3 and 4 are factors of 12 because 3 $\times$ 4 = 12
4. 3 and 5 are factors of 15 because 3 $\times$ 5 = 15

(ii) Multiple: When a number 'a' is multiplied by another number 'b', the product is the multiple of both the numbers 'a' and 'b'.

Examples of multiples:

1. 6 is a multiple of 2 because 2 $\times$ 3 = 6
2. 8 is a multiple of 4 because 4 $\times$ 2 = 8
3. 12 is a multiple of 6 because 6 $\times$ 2 = 12
4. 21 is a multiple of 7 because 7 $\times$ 3 = 21