The composite numbers between 40 and 50 are 40, 42, 44, 45, 46, 48, and 49.
A composite number is defined as an integer greater than one that is not a prime number, meaning it has more than two distinct positive divisors. In simpler terms, a composite number can be divided evenly by numbers other than just 1 and itself.
Let’s break it down:
- 40: Can be divided by 1, 2, 4, 5, 8, 10, 20, and 40.
- 41: Is a prime number (divisors are 1 and 41).
- 42: Can be divided by 1, 2, 3, 6, 7, 14, 21, and 42.
- 43: Is a prime number (divisors are 1 and 43).
- 44: Can be divided by 1, 2, 4, 11, 22, and 44.
- 45: Can be divided by 1, 3, 5, 9, 15, and 45.
- 46: Can be divided by 1, 2, 23, and 46.
- 47: Is a prime number (divisors are 1 and 47).
- 48: Can be divided by 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
- 49: Can be divided by 1, 7, and 49.
Thus, the composite numbers between 40 and 50 include all the numbers mentioned above except for 41, 43, and 47, which are primes.