Question

Is $79$ a prime number?

Answer 1

Hint: To check whether any number is a prime number or not first we have to take factors of that number. If it has only two factors that are the number itself and 1 then it is a prime number otherwise it is a composite number.

Complete step by step answer:
In the above question, we have to find whether $79$ is a prime number or not. But for that first we have to understand what is a prime number and what is a composite number. A prime number is an integer greater than one and can be divisible by only itself and one i.e. it has only two factors. Zero, $1$, and numbers less than $1$ are not considered as prime numbers.

A number having more than two factors is referred to as composite numbers. The smallest prime number is 2 because it is divisible by itself and 1 only.Now, we will find the factors of the given number using the prime factorization method.Therefore,
$ \Rightarrow 79 = 1 \times 79$
Now, we are not able to find more than two prime factors of $79$, that is $1$ and $79$ itself.

Therefore, from the above definition we can say that $79$ is a prime number.

Note: We do not consider 1 as a prime number, as it has only one factor but other prime numbers have two factors. One thing also we should keep in mind is that prime numbers can never be negative and therefore the prime factors.