Write all the prime numbers and composite numbers between 40 and 50

Answer

To find all the prime numbers and composite numbers between 40 and 50, we will first list all the numbers in that range and then classify them accordingly.

### Step-by-Step Solution:

1. **List the Numbers Between 40 and 50:**
The numbers between 40 and 50 are:
- 41, 42, 43, 44, 45, 46, 47, 48, 49, 50

2. **Identify Prime Numbers:**
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
- Check each number:
- **41**: Divisors are 1 and 41 (Prime)
- **42**: Divisors are 1, 2, 3, 6, 7, 14, 21, 42 (Composite)
- **43**: Divisors are 1 and 43 (Prime)
- **44**: Divisors are 1, 2, 4, 11, 22, 44 (Composite)
- **45**: Divisors are 1, 3, 5, 9, 15, 45 (Composite)
- **46**: Divisors are 1, 2, 23, 46 (Composite)
- **47**: Divisors are 1 and 47 (Prime)
- **48**: Divisors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 (Composite)
- **49**: Divisors are 1, 7, 49 (Composite)
- **50**: Divisors are 1, 2, 5, 10, 25, 50 (Composite)

- **Prime Numbers**: 41, 43, 47
- **Composite Numbers**: 42, 44, 45, 46, 48, 49, 50

3. **Final Listing:**
- **Prime Numbers between 40 and 50**: 41, 43, 47
- **Composite Numbers between 40 and 50**: 42, 44, 45, 46, 48, 49, 50