Write all the factors of:
360

Answer

To find all the factors of 360, we will follow these steps:

### Step 1: Understand what factors are
Factors of a number are the integers that can be multiplied together to get that number. For example, if we say that 2 is a factor of 6, it means that 2 multiplied by 3 gives us 6.

### Step 2: Start with the number 1
1 is a factor of every number. Therefore, 1 and 360 (1 × 360) are the first pair of factors.

### Step 3: Check for factors systematically
We will check each integer starting from 1 up to 360 to see if it divides 360 evenly (i.e., without leaving a remainder).

1. **1 × 360 = 360** (Factors: 1, 360)
2. **2 × 180 = 360** (Factors: 2, 180)
3. **3 × 120 = 360** (Factors: 3, 120)
4. **4 × 90 = 360** (Factors: 4, 90)
5. **5 × 72 = 360** (Factors: 5, 72)
6. **6 × 60 = 360** (Factors: 6, 60)
7. **8 × 45 = 360** (Factors: 8, 45)
8. **9 × 40 = 360** (Factors: 9, 40)
9. **10 × 36 = 360** (Factors: 10, 36)
10. **12 × 30 = 360** (Factors: 12, 30)
11. **15 × 24 = 360** (Factors: 15, 24)
12. **18 × 20 = 360** (Factors: 18, 20)

### Step 4: List all the unique factors
Now, we will compile all the unique factors we found:

- 1
- 2
- 3
- 4
- 5
- 6
- 8
- 9
- 10
- 12
- 15
- 18
- 20
- 24
- 30
- 36
- 40
- 45
- 60
- 72
- 90
- 120
- 180
- 360

### Final Answer:
The factors of 360 are:
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, and 360.

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