Which of the following correctly identifies prime numbers?

Prime numbers are defined as natural numbers greater than 1 that have no positive divisors other than 1 and themselves. In this context, the correct grouping of numbers is identified in the third option.

The numbers listed—2, 3, 5, and 7—each meet the criteria for being prime. Specifically, 2 is the only even prime number, as it can only be divided evenly by 1 and 2. The number 3 can only be divided by 1 and 3, making it prime as well. The same applies to 5 and 7, which cannot be divided evenly by any other numbers besides themselves and 1.

In contrast, the other groups contain numbers that do not adhere to the prime number definition. For instance, option A includes the number 1, which is not considered a prime number because it does not satisfy the requirement of having two distinct divisors. Option B has the number 4, which is composite because it can be divided evenly by 1, 2, and 4. Finally, option D includes 6, 8, and 9, all of which are composite as well, with multiple divisors. Thus, option C accurately represents a set of