Question

Is $$83$$ prime or composite?

Answer 1

Hint: To find whether $$83$$ is prime or composite, we will use the concept of prime numbers and composite numbers. Then we will observe the given number and will try to categorise it according to the definition of prime number and composite number. If $$83$$ has two factors then it will be prime otherwise it will be composite.

Complete step by step answer:
To find whether $$83$$ is prime or composite, we should first need to know what is prime number and composite number.
Prime Numbers:
A prime number is a natural number that is counting numbers, that has only two factors i.e., a prime number is divisible by only two numbers. These two numbers are $$1$$ and the number itself. For example, $$3$$ is only divisible by $$1$$ and $$3$$ itself i.e., it has only two factors $$1$$ and $$3$$. So, $$3$$ is a prime number.
Composite Numbers:
A Composite number is a natural number that is counting numbers, that has more than two factors i.e., a Composite number is divisible by more than two numbers. Therefore, we can say that a natural number which is not a prime is a composite number. For example, $$4$$ is divisible by $$1,2$$ and $$4$$ itself. So, it is a composite number.
The given number is $$83$$, it has only two factors i.e., $$1\text{ and 83}$$.
We can see that $$83$$ has only two factors.
Therefore, $$83$$ is a prime number.

Note:
Every number is either a prime number or a composite number except $$1$$, because $$1$$ has only one factor which is $$1$$ itself. Also, note that the smallest prime number is $$2$$ and the smallest composite number is $$4$$. To solve these types of problems the most important point one should keep in mind is the definition of prime numbers and composite numbers.