Question

Is $53$ prime or composite?

Answer 1

Hint: To find whether the given number is prime or not, first we should know what is a prime number and what is a composite number. A number which is divisible by $1$ and itself is a prime number, otherwise it is a composite number. So, we have to check the divisibility of $53$ with different numbers.

Complete step-by-step answer:
A number can be classified as prime or composite depending on the factors it contains; it could either have only $2$ factors or more than $2$ factors.
For example- Numbers like $439$ with only $2$ factors, i.e. $1$ and $439$ are called prime numbers. However, numbers like $120$ with more than $2$ factors are called composite numbers.
To understand whether $53$ is composite or prime, it is important to find its factors.
Now,
 let’s do prime factorization of $53$.
$ \Rightarrow 53 = 53 \times 1$
Therefore, it has only two factors that is $1\,and\,53.$
Therefore, we can say that $53$ is a prime number since it has only $2$ factors.
So, the correct answer is “prime number”.

Note: The number $53$ is divisible only by $1$ and the number itself. For a number to be classified as a prime number, it should have exactly two factors. Since $53$ has exactly two factors, i.e. $1$ and 53, it is a prime number. Also, $1$ is not a prime number. The prime numbers that have only one composite number between them are called twin prime numbers or twin primes.