Which defines a prime number?

A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself. This means that a prime number can only be divided evenly (without leaving a remainder) by these two numbers. For example, the number 5 is prime because its only divisors are 1 and 5. In contrast, numbers like 4 or 6 are not prime because they can be divided by numbers other than just 1 and themselves (for instance, 4 can also be divided by 2).

The other options do not capture the essence of what makes a prime number unique. For instance, stating that a number can be divided by any integer contradicts the concept of primality, as a prime number must have limited divisibility. Similarly, describing a composite number with exactly two factors inaccurately describes a prime number; in fact, a composite number is defined as having more than two factors. Lastly, a whole number that ends in 0 or 5 would include many numbers that are not prime, such as 10, 15, and so forth, since these numbers can be divided by numbers other than just 1 and themselves.