100 LearnersLast updated on May 26th, 2025
Factors of 2024
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 2024, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2024?
The numbers that divide 2024 evenly are known as factors of 2024.
A factor of 2024 is a number that divides the number without a remainder.
The factors of 2024 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 296, 506, 1012, and 2024.
Negative factors of 2024: -1, -2, -4, -8, -16, -32, -37, -74, -148, -296, -506, -1012, and -2024.
Prime factors of 2024: 2 and 37.
Prime factorization of 2024: 24 × 37.
The sum of factors of 2024: 1 + 2 + 4 + 8 + 16 + 32 + 37 + 74 + 148 + 296 + 506 + 1012 + 2024 = 4160.
How to Find Factors of 2024?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the division method
- Prime factors and Prime factorization
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 2024. Identifying the numbers which are multiplied to get the number 2024 is the multiplication method.
Step 1: Multiply 2024 by 1, 2024 × 1 = 2024.
Step 2: Check for other numbers that give 2024 after multiplying
2 × 1012 = 2024
4 × 506 = 2024
8 × 253 = 2024
16 × 126.5 (not a whole number)
32 × 63.25 (not a whole number)
37 × 54.7 (not a whole number)
Therefore, the positive factor pairs of 2024 are: (1, 2024), (2, 1012), (4, 506), (8, 253).
All these factor pairs result in 2024.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 2024 by 1, 2024 ÷ 1 = 2024.
Step 2: Continue dividing 2024 by the numbers until the remainder becomes 0.
2024 ÷ 1 = 2024
2024 ÷ 2 = 1012
2024 ÷ 4 = 506
2024 ÷ 8 = 253
Therefore, the factors of 2024 are: 1, 2, 4, 8, 37, 74, 148, 296, 506, 1012, 2024.
Prime Factors and Prime Factorization
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using a factor tree
Using Prime Factorization: In this process, prime factors of 2024 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2024 ÷ 2 = 1012
1012 ÷ 2 = 506
506 ÷ 2 = 253
253 ÷ 2 = 126.5 (not divisible by 2)
253 ÷ 37 = 1
The prime factors of 2024 are 2 and 37.
The prime factorization of 2024 is: 24 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2024 is divided by 2 to get 1012.
Step 2: Now divide 1012 by 2 to get 506.
Step 3: Then divide 506 by 2 to get 253.
Step 4: Divide 253 by 37 to get 1. Here, 37 is a prime number, that cannot be divided anymore.
So, the prime factorization of 2024 is: 24 × 37.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 2024: (1, 2024), (2, 1012), (4, 506), (8, 253).
Negative factor pairs of 2024: (-1, -2024), (-2, -1012), (-4, -506), (-8, -253).
Common Mistakes and How to Avoid Them in Factors of 2024
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
Mistake 1
Forgetting the number itself and 1 is a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 2024, 1 and 2024 are also factors.
Factors of 2024 Examples
Problem 1
There are 37 students and 2024 pieces of candy. How will they divide it equally?
They will get 54 pieces of candy each.
Explanation
To divide the candy equally, we need to divide the total candy by the number of students.
2024 ÷ 37 = 54
Problem 2
A garden is rectangular, the length of the garden is 37 meters and the total area is 2024 square meters. Find the width?
54 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2024 = 37 × width
To find the value of width, we need to shift 37 to the left side.
2024 ÷ 37 = width
Width = 54.
Problem 3
There are 253 students and 2024 books. How many books will each student receive?
Each student will receive 8 books.
Explanation
To find the number of books each student will receive, divide the total books by the number of students.
2024 ÷ 253 = 8
Problem 4
In a conference, there are 2024 participants, and 8 breakout sessions. How many participants are there in each session?
There are 253 participants in each session.
Explanation
Dividing the participants by the total number of sessions, we will get the number of participants in each session.
2024 ÷ 8 = 253
Problem 5
2024 sheets of paper need to be distributed equally among 4 printers. How many sheets will go into each printer?
Each printer will have 506 sheets.
Explanation
Divide the total sheets by the number of printers.
2024 ÷ 4 = 506
FAQs on Factors of 2024
1.What are the factors of 2024?
2.Mention the prime factors of 2024.
3.Is 2024 a multiple of 4?
4.Mention the factor pairs of 2024?
5.What is the square of 2024?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 2024?
7.What are some fun ways kids in Bahrain can practice Factors of 2024 with numbers?
8.What role do numbers and Factors of 2024 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 2024 skills?
Important Glossaries for Factors of 2024
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2024 are 1, 2, 4, 8, 37, 74, 148, 296, 506, 1012, and 2024.
- Prime factors: The factors which are prime numbers. For example, 2 and 37 are prime factors of 2024.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pairs of 2024 are (1, 2024), (2, 1012), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 2024 is 24 × 37.
- Multiplication method: A method used to find factor pairs by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Bahrain
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.
