Prime Numbers Worksheet #2 - Identify whether each number is prime or composite.

Let's solve the worksheet step by step.

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🔍 Understanding Prime and Composite Numbers:

- A prime number is a number greater than 1 that has only two factors: 1 and itself.
- A composite number is a number greater than 1 that has more than two factors (i.e., it can be divided evenly by numbers other than 1 and itself).

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Now, let’s evaluate each number:

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1. 33
- Factors: 1, 3, 11, 33
- More than two factors → Composite

2. 7
- Factors: 1, 7
- Only two factors → Prime

3. 41
- Check divisibility: Not divisible by 2, 3, 5, or 7 (primes less than √41 ≈ 6.4)
- No divisors other than 1 and 41 → Prime

4. 10
- Factors: 1, 2, 5, 10
- More than two factors → Composite

5. 52
- Even number → divisible by 2
- 52 ÷ 2 = 26 → factors include 1, 2, 4, 13, 26, 52
- More than two factors → Composite

6. 37
- Check divisibility: Not divisible by 2, 3, 5, or 7 (primes less than √37 ≈ 6.1)
- Only factors: 1 and 37 → Prime

7. 13
- Only divisible by 1 and 13 → Prime

8. 76
- Even number → divisible by 2
- 76 ÷ 2 = 38 → more than two factors → Composite

9. 97
- Check divisibility: Not divisible by 2, 3, 5, 7 (primes less than √97 ≈ 9.8)
- Only factors: 1 and 97 → Prime

10. 83
- Check divisibility: Not divisible by 2, 3, 5, 7 (primes < √83 ≈ 9.1)
- Only factors: 1 and 83 → Prime

11. 38
- Even number → divisible by 2
- 38 ÷ 2 = 19 → factors: 1, 2, 19, 38 → Composite

12. 12
- Divisible by 2, 3, 4, 6 → many factors → Composite

13. 66
- Even → divisible by 2
- Also divisible by 3, 6, 11, etc. → multiple factors → Composite

14. 3
- Only divisible by 1 and 3 → Prime

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✔ Final Answers:

| Number | Answer |
|--------|--------------|
| 1. 33 | Composite |
| 2. 7 | Prime |
| 3. 41 | Prime |
| 4. 10 | Composite |
| 5. 52 | Composite |
| 6. 37 | Prime |
| 7. 13 | Prime |
| 8. 76 | Composite |
| 9. 97 | Prime |
|10. 83 | Prime |
|11. 38 | Composite |
|12. 12 | Composite |
|13. 66 | Composite |
|14. 3 | Prime |

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📝 Summary:

- Prime numbers: 7, 41, 37, 13, 97, 83, 3
- Composite numbers: 33, 10, 52, 76, 38, 12, 66

✔ All numbers have been correctly classified!

Let me know if you'd like this in printable format or with explanations for kids!