Saturday, 24 January 2026

 

Class 8 Maths – Chapter 16: Playing with Numbers

Step 4: Prime, Composite & Co-prime Numbers

1️⃣ Prime Numbers

A prime number is a number greater than 1 which has exactly two factors: 1 and itself.

Examples: 2, 3, 5, 7, 11, 13

2️⃣ Composite Numbers

A composite number is a number greater than 1 which has more than two factors.

Examples: 4, 6, 8, 9, 10, 12

📌 Important Note

  • 1 is neither prime nor composite
  • 2 is the only even prime number

3️⃣ Co-prime Numbers

Two numbers are called co-prime if they have no common factor other than 1.

Examples:

  • 8 and 15 ✔
  • 9 and 10 ✔
  • 12 and 18 ✘ (common factor = 6)

📘 Solved Examples

  • Is 29 a prime number? → Yes (only factors 1 & 29)
  • Is 21 composite? → Yes (factors: 1, 3, 7, 21)
  • Are 14 and 25 co-prime? → Yes

📝 Exam Writing Tips

  • Write definition clearly
  • Mention factors step-by-step
  • Underline final conclusion

🧠 Memory Tricks:
Prime → Only 2 friends (1 & itself)
Composite → Many friends
Co-prime → Only common friend is 1

📘 Class 8 Mathematics – Complete Library

CBSE | NCERT | State Syllabus


Chapter 1: Rational Numbers

Chapter 2: Linear Equations in One Variable

Chapter 3: Understanding Quadrilaterals

Chapter 4: Practical Geometry

Chapter 5: Data Handling

Chapter 6: Squares and Square Roots

Chapter 7: Cubes and Cube Roots

Chapter 8: Comparing Quantities

Chapter 9: Algebraic Expressions and Identities

Chapter 10: Visualising Solid Shapes

Chapter 11: Mensuration

Chapter 12: Exponents and Powers

Chapter 14: Factorisation

Chapter 15: Introduction to Graphs

Chapter 16: Playing with Numbers

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