Is 2024 a prime number?

The number 2024 has got multiple factors that are capable of dividing the number completely without leaving any remainder. Thus, the number 2024 is a non-prime number. The factors of 2024 include 1, 2, 4, 8, 253, 506, 1012, and 2024.

A number to be a prime number should follow the criteria, which is that it should not have factors more than 2. Here, 2024 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 2024 would simply be:

Divisors of 2024 = 1, 2, 4, 8, 253, 506, 1012, 2024
Number of divisors = 8

The number 2024 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 2024 are 1, 2, 4, 8, 253, 506, 1012, and 2024.

Thus, 2024 consists of 8 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.

2024 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 2024 is a composite number, the prime factorization for 2024 is:

Factors of 2024 = 2 × 2 × 2 × 253

Prime Number: A natural number greater than 1 that has only two distinct positive divisors: 1 and itself. For example, 2, 3, and 5 are prime numbers.

Composite Number: A natural number greater than 1 that has more than two distinct divisors. For example, 4, 6, and 15 are composite numbers.

Factors: Numbers that divide another number completely without leaving a remainder. For instance, the factors of 6 are 1, 2, 3, and 6.

Divisibility Test: A method used to determine if one number can be divided by another without a remainder. It helps identify factors of a number.

Prime Factorization: The process of expressing a composite number as a product of its prime factors. For example, 18 can be written as 2×3×3.