Identify a prime number between 40 and 50.
49
46
45
41
41
Identify the composite number.
31
51
61
71
51
To identify a prime number between 40 and 50, we need to check if each number in that range is divisible by any other number except 1 and itself.
Let's go through the options:
- 49: To determine if it is prime, we need to check if it is divisible by any number between 2 and the square root of 49 (7). However, we find that 49 is divisible by 7, which means it is not a prime number.
- 46: We need to check if it is divisible by any number between 2 and the square root of 46 (approximately 6.78). After checking, we find that 46 is divisible by 2 and 23. Therefore, it is not a prime number.
- 45: Similar to the previous numbers, we need to check if it is divisible by any number between 2 and the square root of 45 (approximately 6.71). After checking, we find that 45 is divisible by 3, 5, and 9. Therefore, it is not a prime number.
- 41: Finally, we need to check if it is divisible by any number between 2 and the square root of 41 (approximately 6.40). After checking, we find that 41 is not divisible by any number other than 1 and itself. Therefore, 41 is a prime number.
So, the prime number between 40 and 50 is 41.