Which statement about prime numbers is true?

Which statement about prime numbers is true?

• A. A prime number has exactly two distinct positive divisors: 1 and itself.
• B. 2 is not prime.
• C. Every even number is prime.
• D. 1 is prime.

Answer: (A)

Prime numbers are integers greater than 1 that have exactly two distinct positive divisors: 1 and the number itself. This means they can be divided evenly only by 1 and by themselves. The statement aligns with that idea, so it’s true. The claim that 2 is not prime goes against the definition, since 2 is divisible by 1 and 2. The idea that every even number is prime is false, because most even numbers—such as 4, 6, and so on—are divisible by numbers other than 1 and themselves. Lastly, 1 is not prime because it has only one positive divisor, not two.

Prime numbers are integers greater than 1 that have exactly two distinct positive divisors: 1 and the number itself. This means they can be divided evenly only by 1 and by themselves. The statement aligns with that idea, so it’s true. The claim that 2 is not prime goes against the definition, since 2 is divisible by 1 and 2. The idea that every even number is prime is false, because most even numbers—such as 4, 6, and so on—are divisible by numbers other than 1 and themselves. Lastly, 1 is not prime because it has only one positive divisor, not two.