Can you make it easier for me to understand what makes a number a prime number?

A prime number is a positive integer that can be divided by only itself and 1. Another definition: A prime number is a positive number that has exactly two different factors: itself and 1.


Example: Is 19 a prime number?

Yes. The only factors of 19 are 1 and 19, so 19 is a prime number. That is, 19 is divisible by only 1 and 19, so it is prime.

Example: Is 27 a prime number?

No. 27 is divisible by other numbers (3 and 9), so it is not prime. The factors of 27 are 1, 3, 9, and 27, so it is not prime.

The only even prime number is 2; thereafter, any even number may be divided by 2. The numbers 0 and 1 are not prime numbers. The prime numbers less than 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.