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Chapter 3: A Story of Numbers Notes

Home / Class Notes / class 8 / Mathematics / Chapter 3: A Story of Numbers
✓ Free notes class 8 Mathematics 1 study file

About these notes

Class 8 Mathematics A Story of Numbers notes give clear definitions, worked examples and quick revision points on prime factorisation, divisibility tests, HCF (महत्तम समापवर्तक) and LCM (लघुत्तम समापवर्त्य). Main sub-topics: prime and composite numbers (अभाज्य संख्या, भाज्य संख्या), expressing numbers in index form (for example 2³ × 3² × 5), tests of divisibility (2,3,4,5,9,11), prime factorisation, finding HCF and LCM by prime factors, laws of exponents and square/cube roots (√). For Class 8 CBSE and Bihar Board students; useful for chapter test, MCQ practice, revision and Merit Spring ROH mock tests.

Key points you will learn

  • Class 8 Mathematics A Story of Numbers — prime factorisation in index form (example: 2³ × 3² × 5)
  • Prime vs composite numbers and quick divisibility checks (2,3,5,9,11)
  • Write numbers as product of primes using factor trees or repeated division
  • Find HCF and LCM by taking lowest and highest powers of prime factors
  • Laws of exponents: a² × a³ = a⁵, (ab)² = a²b² and converting to index form
  • Use prime factorisation to simplify fractions and to verify HCF×LCM equals product of numbers
  • Tips: memorise divisibility rules, practise factor trees, and convert examples to index form for speed

What is inside this chapter

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A Story of Numbers - Chapter 3 Notes (Class 8 Maths)

Class 8 Maths A Story of Numbers - Chapter 3 handwritten-style revision notes for CBSE and Bihar Board students.

📥 Open notes

Questions students ask

What is covered in Class 8 Maths A Story of Numbers notes?

The notes cover prime and composite numbers, prime factorisation in index form, divisibility tests for common divisors, methods to get HCF and LCM using prime factors, and basic laws of exponents with examples for revision.

How to find HCF and LCM for two numbers in this chapter?

Use prime factorisation: express each number as primes, take the lowest power of each common prime for HCF and the highest power for LCM; practise with examples to avoid calculation errors.

Where can I find Class 8 A Story of Numbers important questions and MCQ practice?

Merit Spring ROH hosts Class 8 chapter tests and board-pattern mock tests for MCQ and important-question practice; use the chapter test and mock test pages to time yourself and check answers.

How should I prepare for chapter tests and exams from this chapter?

Start with divisibility rules and prime factorisation, solve index-form and root problems, time several MCQ sets for speed, then take chapter tests on Merit Spring ROH to track improvement.

← Previous chapter Chapter 2: Power Play

More Mathematics chapters

Chapter 1: A Square and a Cube Chapter 2: Power Play Chapter 4: Quadrilaterals Chapter 5: Number Play Chapter 6: We Distribute Yet Things Multiply Chapter 7: Proportional Reasoning 1 All chapters →

class 8 — other subjects

ENGLISH Social Science Science