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?

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### **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**

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### **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**

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### **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**

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**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
**Prime Numbers between 8 and 28:** 11, 13, 17, 19, 23 **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

List all the prime numbers between 8 and 28 .

a) Write down all the factors of 120 .
b) Which of the factors of 120 are composite numbers?

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