What is the next prime number after 11?

The next prime number after 11 is 13. A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself.

To determine the next prime number following 11, we consider the whole numbers that follow 11: 12, 13, 14, and 15.

• The number 12 is not prime because it can be divided evenly by 1, 2, 3, 4, 6, and 12.

• The number 13, on the other hand, is only divisible by 1 and itself, making it a prime number.

• The number 14 can be divided by 1, 2, 7, and 14, which means it is also not prime.

• Lastly, the number 15 has divisors of 1, 3, 5, and 15, indicating it is not prime as well.

Therefore, 13 is the next prime number after 11 due to meeting the definition of a prime number, while the other options do not qualify as prime numbers.