Yes, 19 is a prime number because it adheres to the fundamental rule that defines a prime number: it is only divisible by 1 and itself.
Understanding Prime Numbers
Prime numbers are foundational in number theory. A prime number has exactly two factors: 1 and the number itself.
Characteristics of Prime Numbers
- They are whole numbers greater than 1.
- They have no positive divisors other than 1 and themselves.
Why 19 is Prime
The number 19 perfectly fits this definition. As stated in the reference, "The number 19 is divisible only by 1 and the number itself."
| Number | Divisors | Prime? |
|---|---|---|
| 19 | 1, 19 | Yes |
Prime Number Examples
Here are a few more examples of prime numbers:
- 2
- 3
- 5
- 7
- 11
- 13
In contrast, consider the number 4, which is not a prime number because it is divisible by 1, 2, and 4. A number with more than two divisors is a composite number.
Conclusion
Therefore, since 19 is only divisible by 1 and 19, it is classified as a prime number.
