Playing with Numbers — Chapter Summary
Gujarat Board · Class 6 · Mathematics
Summary of Playing with Numbers for Gujarat Board Class 6 Mathematics. Part of the Gujarat Board Class 6 Mathematics syllabus.
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Overview
Playing with Numbers is a fundamental chapter in mathematics that helps you understand how numbers can be broken down, organized, and related to each other. This chapter introduces you to factors, multiples, prime and composite numbers, divisibility rules, and the important concepts of HCF (Highest
Key Concepts
A factor of a number
A factor of a number is an exact divisor of that number. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12 because each of these divides 12 eve
A multiple of a number
A multiple of a number is obtained by multiplying that number by any natural number. For example, multiples of 5 are 5, 10, 15, 20, 25, 30... (obtaine
A prime number is a natural
A prime number is a natural number greater than 1 that has exactly two factors: 1 and itself. Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29... The numb
A composite number is a natural
A composite number is a natural number greater than 1 that has more than two factors. Examples: 4, 6, 8, 9, 10, 12, 14, 15... The number 4 is the smal
Divisibility rules are quick ways
Divisibility rules are quick ways to check if a number is divisible by another without performing actual division. Key rules: (1) Divisible by 2: last
Learning Objectives
- Understand the concept of factors and multiples and find them for any given number
- Identify and classify numbers as prime, composite, or neither (1)
- Apply divisibility rules to determine if a number is divisible by 2, 3, 4, 5, 6, 8, 9, 10, and 11
- Find common factors and common multiples of two or more numbers
- Calculate HCF (GCD) and LCM using prime factorization and other methods
Frequently Asked Questions
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Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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