Is 2023 a prime number?

The number 2023 has got 4 factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 2023 is a non-prime number. The factors of 2023 include 1, 7, 289, and 2023.

A number to be a prime number should follow the criteria that it should not have factors more than 2. Here, 2023 has more than 2 factors, hence making it a composite number.

Given below are a few ways that can be used to find prime or composite numbers.

The different methods we can use to check if a number is a prime number are explained below.

1. Counting Divisors Method
2. Divisibility Test
3. Prime Number Chart
4. Prime Factorization

For the counting divisors method, it is to be checked whether the number is divisible by any numbers other than 1 and the number itself.

The counting divisors method for 2023 would simply be:

Divisors of 2023 = 1, 7, 289, 2023

Number of divisors = 4

The number 2023 can be considered composite.

In the division test, we try to divide the number by any of the prime numbers. If we cannot, then it is considered a prime number.

In the divisibility method, the prime number only has 2 divisors, which are 1 and itself.

The divisors of 2023 are 1, 7, 289, and 2023.

Thus, 2023 consists of 4 factors that divide it completely without any remainder.

The prime number chart is the list of prime numbers starting from 2 to infinity.

The list of prime numbers under 100 are:
2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

2023 is not present in the list, it is not a prime number.

This method is only used for a non-prime number/composite number. Since 2023 is a composite number, the prime factorization for 2023 is:

Factors of 2023 = 7 × 17²

Prime Number: A natural number greater than 1 with exactly two distinct positive divisors: 1 and itself.

Composite Number: A positive integer greater than 1 that has more than two positive divisors. For example, 4, 6, and 2023 are composite numbers.

Factors: Numbers that divide a given number completely without leaving a remainder. For example, the factors of 2023 are 1, 7, 289, and 2023.

Prime Factorization: The process of expressing a composite number as the product of its prime factors.

For example, 2023 = 7×172

Divisibility Test: A method to determine if one number is divisible by another without leaving a remainder, helping identify factors and categorize numbers as prime or composite.