Find all the prime and composite numbers from 1 to 10.

Answer

To find all the prime and composite numbers from 1 to 10, we will follow these steps:

### Step 1: Understand the Definitions
- **Prime Number**: A number that has exactly two distinct positive factors: 1 and the number itself.
- **Composite Number**: A number that has more than two factors.

### Step 2: List the Numbers from 1 to 10
We will consider the numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

### Step 3: Identify Factors for Each Number
We will find the factors for each number from 1 to 10.

1. **1**: Factors = {1} (neither prime nor composite)
2. **2**: Factors = {1, 2} (prime)
3. **3**: Factors = {1, 3} (prime)
4. **4**: Factors = {1, 2, 4} (composite)
5. **5**: Factors = {1, 5} (prime)
6. **6**: Factors = {1, 2, 3, 6} (composite)
7. **7**: Factors = {1, 7} (prime)
8. **8**: Factors = {1, 2, 4, 8} (composite)
9. **9**: Factors = {1, 3, 9} (composite)
10. **10**: Factors = {1, 2, 5, 10} (composite)

### Step 4: Classify the Numbers
Now we will classify the numbers into prime and composite:

- **Prime Numbers**: 2, 3, 5, 7
- **Composite Numbers**: 4, 6, 8, 9, 10
- **Neither**: 1

### Final Result
- **Prime Numbers from 1 to 10**: 2, 3, 5, 7
- **Composite Numbers from 1 to 10**: 4, 6, 8, 9, 10

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