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A prime number is defined specifically as a positive integer greater than 1 that has no positive divisors other than 1 and itself. This means that it cannot be formed by multiplying two smaller positive integers. For example, the number 5 is prime because the only positive integers that can divide it without leaving a remainder are 1 and 5.
The definition in the correct choice captures both essential characteristics of a prime number: its positivity and the exclusivity of its factors. Notably, prime numbers begin at 2, the smallest and only even prime, and include other numbers such as 3, 5, 7, 11, etc.
The other options either misdefine or do not adequately describe what a prime number is: