Is 2024 a prime number?
2026-02-28 19:13 Diff

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Last updated on August 5, 2025

Prime numbers have only 1 and the number itself as factors. They are used in digital security and in securing digital payments. The topics below will help you gain more knowledge on prime numbers and how they are categorized.

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.

Why is 2024 not a prime number?

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

Using the Counting Divisors Method

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.

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Using the Divisibility Method

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.

Using the Prime Number Chart

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.

Using the Prime Factorization

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

Common mistakes to avoid when determining if 2024 is a prime number

It is highly likely we commit some mistakes due to confusion or unclear understanding. Let us look at possible mistakes we may make and try to avoid them.

FAQ’s for "Is 2024 a prime number"

1.What is the largest prime factor of 2024?

The largest prime factor of 2024 is 13.

2.What is the smallest prime factor of 2024?

The smallest prime factor of 2024 is 2.

3.Is 2024 a composite number?

Yes, 2024 is a composite number because it has factors other than 1 and itself.

4.How to express 2024 as a product of prime factors?

5.Represent 2024 in the prime factor tree.

Start with 2024 and divide by 2 repeatedly:
2024 → 1012 → 506 → 253 → 23 × 11.

6.Do any perfect squares exist in the prime factors of 2024?

7.Do any perfect cubes exist in the prime factors of 2024?

8.What can 2024 be divided by?

2024 can be divided by 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312, 506, 1012, and 2024.

Glossary for "Is 2024 a Prime Number?"

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.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.