2. List all the prime numbers between 8 and 28 . 3. a) Write down all the factors of 120 . b) Which of the factors of 120 are composite numbers

Certainly! Let's address each of your questions step by step. --- ### **2. List all the prime numbers between 8 and 28.** **Prime numbers** are numbers greater than 1 that have no positive divisors other than 1 and themselves. **Prime numbers between 8 and 28:** - **11** - **13** - **17** - **19** - **23** --- ### **3.** #### **a) Write down all the factors of 120.** **Factors** of a number are integers that can be multiplied together to produce that number. **All factors of 120:** 1. **1** 2. **2** 3. **3** 4. **4** 5. **5** 6. **6** 7. **8** 8. **10** 9. **12** 10. **15** 11. **20** 12. **24** 13. **30** 14. **40** 15. **60** 16. **120** #### **b) Which of the factors of 120 are composite numbers?** **Composite numbers** are integers greater than 1 that have more than two distinct positive divisors (i.e., they are not prime). From the list of factors of 120: - **Composite Factors of 120:** - **4** (factors: 1, 2, 4) - **6** (factors: 1, 2, 3, 6) - **8** (factors: 1, 2, 4, 8) - **10** (factors: 1, 2, 5, 10) - **12** (factors: 1, 2, 3, 4, 6, 12) - **15** (factors: 1, 3, 5, 15) - **20** (factors: 1, 2, 4, 5, 10, 20) - **24** (factors: 1, 2, 3, 4, 6, 8, 12, 24) - **30** (factors: 1, 2, 3, 5, 6, 10, 15, 30) - **40** (factors: 1, 2, 4, 5, 8, 10, 20, 40) - **60** (factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60) - **120** (factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120) *Note:* The numbers **1**, **2**, **3**, and **5** are **not** composite: - **1** is neither prime nor composite. - **2**, **3**, and **5** are **prime numbers**. --- If you have any further questions or need additional clarification, feel free to ask!