Explanation:
Numbers can be classified as prime or composite based on their factors.
- Prime Numbers: A number greater than 1 that has only two factors: 1 and itself.
- Examples: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
- Note: The smallest prime number is 2, which is also the only even prime number.
- Composite Numbers: A number greater than 1 that has more than two factors.
- Examples: 4, 6, 8, 9, 10, 12, 14, 15, 16, 18
- Note: Every even number greater than 2 is composite.
- Special Case:
- 1 is neither prime nor composite.
Worksheet on Prime and Composite Numbers
Class 6
Section 1: Class Work (Solved Questions)
A. Identify whether the given numbers are Prime or Composite
- 29 → Prime
- 87 → Composite
- 53 → Prime
- 91 → Composite
- 101 → Prime
B. Find all the Prime Factors of the given numbers
- 56 → 2 × 2 × 2 × 7
- 84 → 2 × 2 × 3 × 7
- 105 → 3 × 5 × 7
- 144 → 2 × 2 × 2 × 2 × 3 × 3
- 225 → 3 × 3 × 5 × 5
Section 2: Homework (Solve on Your Own)
A. Identify whether the given numbers are Prime or Composite
- 97
- 133
- 89
- 51
- 67
B. Find all the Prime Factors of the given numbers
- 96
- 128
- 196
- 315
- 729