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?

Sure, let's tackle each of the problems step by step. --- ### **2. List all the prime numbers between 8 and 28.** **Prime Numbers:** A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. **Between 8 and 28, the prime numbers are:** - **11** - **13** - **17** - **19** - **23** - **29** *(Note: 29 is just outside the range up to 28, so it is excluded.)* **Final List of Prime Numbers between 8 and 28:** - **11, 13, 17, 19, 23** --- ### **3. a) Write down all the factors of 120.** **Factors of a Number:** Factors are numbers that divide into another number exactly without leaving a remainder. To find all factors of **120**, we look for pairs of numbers that multiply to give 120. 1. **1 × 120 = 120** 2. **2 × 60 = 120** 3. **3 × 40 = 120** 4. **4 × 30 = 120** 5. **5 × 24 = 120** 6. **6 × 20 = 120** 7. **8 × 15 = 120** 8. **10 × 12 = 120** **Listing all unique factors:** - **1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120** --- ### **3. b) Which of the factors of 120 are composite numbers?** **Composite Numbers:** A composite number is a positive integer that has at least one positive divisor other than 1 and itself. From the list of factors of 120: - **1** *(Not composite; it's a unit)* - **2** *(Prime)* - **3** *(Prime)* - **4** *(Composite)* - **5** *(Prime)* - **6** *(Composite)* - **8** *(Composite)* - **10** *(Composite)* - **12** *(Composite)* - **15** *(Composite)* - **20** *(Composite)* - **24** *(Composite)* - **30** *(Composite)* - **40** *(Composite)* - **60** *(Composite)* - **120** *(Composite)* **Composite Factors of 120:** - **4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120** --- **Summary:** - **Prime Numbers between 8 and 28:** 11, 13, 17, 19, 23 - **All Factors of 120:** 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 - **Composite Factors of 120:** 4, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120