Smallest two-digit prime numberWhat 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 numberThe 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 numbersThere are some properties of the prime numbers that are listed as follows -
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