Lesson 1 – Factors

Objectives:

At the end of the lesson, students should be able to know and write all the factors of any given number.

The factors of any given number refers to all the numbers that can divide that given number without a remainder.

The factors of a number are multiplied to make that particular number.

Notes:

• Any two numbers that multiply to make a given number are factors of that given number.
• The factors of a given number may be two numbers, i.e. the given number and 1. This shows that the number is a PRIME NUMBER.
• The factors of a number may be more than two, implying that the number is a COMPOSITE NUMBER.
• Factors of a number may be written in numeral order, i.e. from the smallest number to the biggest number.

Example1:

Find the factors of 8

1 x 8 = 8

2 x 4 = 8

Hence, the factors of 8 = {1, 2, 4, 8}

Example 2:

List the factors of 24

1 x 24 = 24

2 x 12 = 24

3 x 8 = 24

4 x 6 = 24

Factors of 24 = {1, 2, 3, 4, 6, 8, 12, 24}

Example 3:

Write down the factors of 17

1 x 17 = 17

Note that the factors of 17 are 1 and 17. This is because 17 is a prime number.

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