Class 6 • Mathematics • Chapter 3
Playing with Numbers
Explore factors, multiples, prime numbers, common factors, common multiples and basic divisibility ideas.
Learn the Basics
Important Concepts
Build your understanding step by step.
Factors
Understand factors of a number and how to identify them.
Multiples
Learn how multiples are formed and how to find them.
Common Factors
Find factors that are common to two or more numbers.
Common Multiples
Identify multiples that are common to different numbers.
Prime Numbers
Understand numbers that have exactly two factors.
Divisibility
Use divisibility rules to check whether numbers are divisible.
Understand with Examples
Worked Examples
Factors
Example
Factors of 12
1, 2, 3, 4, 6, 12
Multiples
Example
Multiples of 5
5, 10, 15, 20, 25, ...
Prime Number
Example
7
Factors: 1 and 7
Quick Notes
Remember These Points
- • A factor divides a number exactly without leaving a remainder.
- • Multiples are obtained by multiplying a number by whole numbers.
- • A prime number has exactly two factors: 1 and itself.
- • 1 is neither a prime number nor a composite number.
- • Divisibility rules can help check divisibility quickly.
Practice
Practice Questions
Write all the factors of 24.
Write the first five multiples of 8.
Find the common factors of 18 and 24.
Is 29 a prime number? Give a reason.
Check whether 135 is divisible by 5.
Find three common multiples of 4 and 6.
Test Yourself
Revise factors, multiples and prime numbers, then test your understanding.