The smallest prime number divisible by 11 is 11 itself.
According to the reference, 11 is the only prime number divisible by 11. All other numbers divisible by 11 have at least three factors: 1, 11, and the number itself. However, prime numbers are defined as having only two factors: 1 and themselves.
Understanding Prime Numbers and Divisibility
To clarify further, let's briefly look at prime numbers and divisibility.
- A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. Examples include 2, 3, 5, 7, 11, etc.
- Divisibility refers to whether one number can be divided by another with no remainder.
Therefore, when we consider numbers divisible by 11, we are looking for numbers that can be divided by 11 without leaving a remainder. Based on the reference, the only prime number meeting this condition is 11.
Summary
In conclusion, the smallest prime number divisible by 11 is 11.
