A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, a prime number has exactly two divisors: 1 and itself.
Looking for prime numbers between 40 and 50, we can check each number individually:
- 41: This number can only be divided evenly by 1 and 41, making it a prime number.
- 42: This number can be divided by 1, 2, 3, 6, 7, 14, 21, and 42, so it is not prime.
- 43: This number is also only divisible by 1 and 43, confirming its status as a prime number.
- 44: Divisible by 1, 2, 4, 11, 22, and 44, so it is not prime.
- 45: This number can be divided by 1, 3, 5, 9, 15, and 45, thus it is not prime.
- 46: This number can be divided by 1, 2, 23, and 46, so it is not prime.
- 47: Similar to the others, this number can only be divided by 1 and 47, making it a prime number.
- 48: This number has multiple divisors (1, 2, 3, 4, 6, 8, 12, 16, 24, and 48), so it is not prime.
- 49: This number can be divided by 1, 7, and 49, meaning it is not prime.
- 50: Divisible by 1, 2, 5, 10, 25, and 50, thus it is not prime.
In conclusion, the prime numbers between 40 and 50 are 41, 43, and 47.