Identify the composite number.(1 point)
Responses
31
31
51
51
61
61
71
51
To identify the composite number, we need to understand what a composite number is. A composite number is a positive integer that has more than two distinct positive divisors.
Let's determine if each of the given numbers is prime or composite:
31: To check if it is prime, we need to find if it has divisors other than 1 and itself. We can try dividing it by numbers from 2 to its square root (rounded up). In this case, we find that 31 does not have any divisors other than 1 and itself. So, 31 is prime.
51: Let's apply the same process to determine if it is prime or composite. We start by checking if it has divisors other than 1 and itself. By dividing it by numbers from 2 to its square root, we find that 51 can be evenly divided by 3 and 17, in addition to 1 and 51. Since it has divisors other than 1 and itself, 51 is a composite number.
61: Following the same method, we find that 61 does not have any divisors other than 1 and itself. Hence, 61 is prime.
71: Similarly, dividing 71 by numbers from 2 to its square root shows that it does not have any divisors other than 1 and itself. Therefore, 71 is prime.
Therefore, out of the given numbers, 51 is the composite number.