Which of the following pairs of numbers are both prime?

The pair of numbers that are both prime is indeed 2 and 3. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself.

In the case of 2, it is the smallest and the only even prime number, as it can only be divided evenly by 1 and 2. The number 3 is also prime because its only divisors are 1 and 3. Therefore, both numbers in the pair meet the criteria for being prime.

The other pairs do not consist of two prime numbers. For example, 4 is not prime because it can be divided by 1, 2, and 4. In another pair, both 8 and 9 are not prime, as 8 can be divided by 1, 2, 4, and 8, while 9 can be divided by 1, 3, and 9. Lastly, 5 is prime (divisible only by 1 and 5), but 10 is not prime because it has additional divisors (1, 2, 5, and 10).

The correct identification of both numbers being prime makes the pair 2