1.1.2 Factors and multiples

FACTORS AND MULTIPLES

Learning Outcomes

By the end of this lesson, learners should be able to:

Identify factors and multiples of given numbers.

Apply factors and multiples in real-life situations.

Lesson Notes

Factor: A number that divides another number exactly.

Example: Factors of 12 → 1, 2, 3, 4, 6, 12

Multiple: A product of a number and any integer.

Example: Multiples of 5 → 5, 10, 15, 20, 25

Worked Examples

Example 1:

Find all factors of 36.

Solution:

1, 2, 3, 4, 6, 9, 12, 18, 36

Example 2:

List the first five multiples of 8.

Solution:

8, 16, 24, 32, 40

Exercise 2

1. List all factors of 30.

2. Write the first five multiples of 9.

3. Find the greatest factor (other than itself) of 28.

4. Are 12 and 18 multiples of 6? Explain.