Factors and multiples of numbers

Lesson Note: Factors and Multiples of Numbers

Topic: Factors and Multiples of Numbers Subject: Mathematics Class: Basic 3 Curriculum: Hybrid

Introduction: In this lesson, we will learn about factors and multiples of numbers. Understanding these concepts will help you solve problems in mathematics and real-life situations.

Factors of Numbers: A factor of a number is a whole number that divides the given number exactly without leaving a remainder. For example:

• Factors of 6 are: 1, 2, 3, and 6
• Factors of 9 are: 1, 3, and 9

Examples:

1. Find the factors of 12:
   • 1 x 12 = 12
   • 2 x 6 = 12
   • 3 x 4 = 12
   • Factors of 12 are: 1, 2, 3, 4, 6, and 12
2. Find the factors of 15:
   • 1 x 15 = 15
   • 3 x 5 = 15
   • Factors of 15 are: 1, 3, 5, and 15

Multiples of Numbers: A multiple of a number is the product of that number and any whole number. For example:

• Multiples of 4 are: 4, 8, 12, 16, ...
• Multiples of 5 are: 5, 10, 15, 20, ...

Examples:

1. Find the multiples of 6:
   • 6 x 1 = 6
   • 6 x 2 = 12
   • 6 x 3 = 18
   • Multiples of 6 are: 6, 12, 18, 24, ...
2. Find the multiples of 9:
   • 9 x 1 = 9
   • 9 x 2 = 18
   • 9 x 3 = 27
   • Multiples of 9 are: 9, 18, 27, 36, ...

Class Work: Complete the following exercises:

1. Find the factors of 18.
2. Find the multiples of 7.
3. Identify the factors of 24.
4. List the multiples of 3.

Assignment: Complete the following tasks:

1. Find the factors of 20 and list them in ascending order.
2. Find the multiples of 6 and list them up to 36.
3. Create a table to show the factors and multiples of 12.

Conclusion: In this lesson, we learned about factors and multiples of numbers. Remember that factors are the numbers that divide a given number exactly, while multiples are the products of a number and any whole number. Practice the exercises and assignments to reinforce your understanding of these concepts.