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Chapter 3 of 5
Syllabus

Playing with Numbers — Syllabus

Gujarat Board · Class 6 · Mathematics

What Playing with Numbers covers in Gujarat Board Class 6 Mathematics: 4 topics, for the 2026-27 session. Topics include Factors and Multiples, Prime.

45 questions5 concepts

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4 Topics · Gujarat Board Class 6 Mathematics · 2026-27

Topics in Playing with Numbers

1

Factors and Multiples

  • A factor of a number exactly divides that number leaving remainder 0.
  • 1 is a factor of every number.
  • Every number is a factor of itself.
2

Prime and Composite Numbers

  • A prime number has exactly 2 factors: 1 and itself.
  • A composite number has more than 2 factors.
  • The number 1 is NEITHER prime NOR composite — it has only 1 factor.
3

Tests for Divisibility

  • Divisibility by 2: Last digit (ones place) is 0, 2, 4, 6, or 8.
  • Divisibility by 3: Sum of all digits is divisible by 3.
  • Divisibility by 4: Number formed by last TWO digits (tens and ones) is divisible by 4.
4

Common Factors, Common Multiples, and Co-prime Numbers

  • Common factors of two or more numbers are factors that are present in ALL the given numbers.
  • To find common factors, list all factors of each number, then identify those appearing in all lists.
  • Common multiples of two or more numbers are multiples that appear in ALL their multiple lists.

Key Concepts

A factor of a numberA multiple of a numberA prime number is a naturalA composite number is a naturalDivisibility rules are quick ways

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Frequently Asked Questions

What are the important topics in Playing with Numbers for Gujarat Board Class 6 Mathematics?
Key topics in Playing with Numbers include Factors and Multiples, Prime and Composite Numbers, Tests for Divisibility, Common Factors, Common Multiples, and Co-prime Numbers. Study these first, then practise questions on each for Class 6 exams.
How should I revise Playing with Numbers for Class 6 exams?
Learn the core ideas first, then work through the 45 practice questions on Playing with Numbers. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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