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Which of the following describes a prime number?

  1. A whole number that is greater than 1 and has exactly two factors

  2. A whole number that is greater than 0 with multiple factors

  3. A whole number divisible by 2

  4. A negative integer

The correct answer is: A whole number that is greater than 1 and has exactly two factors

A prime number is defined as a whole number greater than 1 that has exactly two distinct factors: 1 and itself. This definition captures the essence of what makes a prime number unique – it cannot be formed by multiplying two smaller positive integers other than 1 and itself. Therefore, identifying a prime number correctly requires recognizing that it must be greater than 1 and possess precisely two factors. The other options describe different mathematical concepts. A whole number greater than 0 with multiple factors includes composite numbers, not just primes. A whole number divisible by 2 refers specifically to even numbers, which can be prime (like 2) or not (like 4). Lastly, negative integers do not qualify as prime numbers since the definition of prime numbers is strictly confined to positive integers greater than 1.