🧮 Factors – Class 8 Mathematics
📘 What are Factors?
👉 A factor of a number is a number that divides it completely without leaving any remainder.
👉 For example, the factors of 12 are: 1, 2, 3, 4, 6, 12
👉 Every number has at least 2 factors: 1 and the number itself.
👉 A number with more than 2 factors is called a composite number.
👉 A number with exactly 2 factors is called a prime number.
✅ Solved Examples
| Question | Solution |
|---|---|
| List all factors of 18 | ( 1, 2, 3, 6, 9, 18 ) |
| List all factors of 24 | ( 1, 2, 3, 4, 6, 8, 12, 24 ) |
| Is 37 a prime number? | Yes, factors are only ( 1 ) and ( 37 ) |
| List all factors of 36 | ( 1, 2, 3, 4, 6, 9, 12, 18, 36 ) |
| Find all factors of 15 | ( 1, 3, 5, 15 ) |
📝 Homework Worksheet (Complete in 1 Hour)
✍️ 1. List all factors of 28
✍️ 2. Find the number of factors of 16
✍️ 3. Is 29 a prime number? Justify.
✍️ 4. Write all factors of 50
✍️ 5. Find common factors of 18 and 30
✍️ 6. Write all even factors of 36
✍️ 7. Identify smallest and largest factors of 60
✍️ 8. Are all factors ≤ the number? Explain with example
✍️ 9. List all factors of 100
✍️ 10. Write the prime factors of 45