Class 6 Maths - CBSE
Number Play
The chapter Number Play in Class 6 Mathematics takes students on an exciting journey into the fascinating properties of numbers. It builds a strong foundation in number theory by exploring factors, multiples, prime and composite numbers, and divisibility rules. Students learn how to find Highest Common Factors (HCF) and Lowest Common Multiples (LCM) using fun methods. This chapter matters greatly for CBSE exams because it tests logical thinking and forms the bedrock for advanced topics like fractions, ratios, and algebra in higher classes. Mastering these concepts helps students solve complex arithmetic problems quickly and accurately in board assessments.
Start Learning FreeKey Concepts
Factors
A factor of a number is an exact divisor of that number, meaning it divides the number without leaving any remainder.
Multiples
A multiple of a number is obtained by multiplying that number by any whole number, resulting in an infinite series of products.
Prime and Composite Numbers
Prime numbers have only two distinct factors (1 and themselves), while composite numbers have more than two factors.
Highest Common Factor (HCF)
The HCF is the largest common factor shared by two or more given numbers, also known as the Greatest Common Divisor.
Lowest Common Multiple (LCM)
The LCM is the smallest common multiple that is shared by two or more given numbers.
Divisibility Rules
Shortcuts and rules that help determine whether a number is completely divisible by 2, 3, 4, 5, 6, 8, 9, 10, and 11 without actual division.
Important Formulas
Board Exam Info
In CBSE Class 6 Mathematics exams, this chapter typically carries around 6 to 8 marks. Common question types include word problems on HCF and LCM, finding prime factorizations, testing numbers for divisibility rules, and identifying prime versus composite numbers.
Frequently Asked Questions
Is the number 1 a prime number or a composite number?
Number 1 is neither prime nor composite because it has only one factor, which is itself.
How do I know whether to find HCF or LCM in a word problem?
Use HCF when the problem asks you to divide items into equal groups, split things into maximum sizes, or find the largest possible measurement. Use LCM when events happen together, or when you need to find the smallest time or quantity where things meet or repeat.
What is the difference between a factor and a multiple?
A factor is an exact divisor of a number and is always less than or equal to the number. A multiple is the result of multiplying the number by integers and is always greater than or equal to the number.
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