Smallest two-digit prime number
What is a Prime Number?
The natural numbers that are greater than 1 and having only two factors are called as prime numbers. There are two factors of a prime number in which one factor is '1' and another factor is the number itself. So, a prime number can only be divisible by 1 and itself.
The smallest two digit prime number
The smallest two-digit number is 11. It has only two factors that are '1' and '11' itself. The next two-digit prime number after 11 is 13, and the prime number previous to 11 is 7.
Although the smallest two-digit number is 10, but it has more than two factors, and it also cannot be expressed in the form of the 6n + 1 or 6n -1, so it cannot be considered as a prime number. But 11 satisfy all conditions of a prime number, so it is the smallest two-digit prime number.
Except 2 and 3, every prime number can either be expressed in the form of 6n + 1 or 6n - 1. So, let's try to express 11 in these forms.
If we consider n as 2, so 11 can be written in the form of 6n - 1.
6 (2) - 1 = 11 (where n = 2)
So, 11 is a prime number.
In order to check whether the number is prime or not, we can follow the below steps -
Properties of prime numbers
There are some properties of the prime numbers that are listed as follows -