100 LearnersLast updated on May 26th, 2025
Factors of 2448
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 2448, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2448?
The numbers that divide 2448 evenly are known as factors of 2448.
A factor of 2448 is a number that divides the number without a remainder.
The factors of 2448 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 51, 64, 96, 102, 128, 153, 204, 256, 384, 408, 612, 816, 1224, and 2448.
Negative factors of 2448: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -51, -64, -96, -102, -128, -153, -204, -256, -384, -408, -612, -816, -1224, and -2448.
Prime factors of 2448: 2 and 3.
Prime factorization of 2448: 2^5 × 3 × 3 × 17.
The sum of factors of 2448: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 51 + 64 + 96 + 102 + 128 + 153 + 204 + 256 + 384 + 408 + 612 + 816 + 1224 + 2448 = 7936
How to Find Factors of 2448?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 2448. Identifying the numbers which are multiplied to get the number 2448 is the multiplication method.
Step 1: Multiply 2448 by 1, 2448 × 1 = 2448.
Step 2: Check for other numbers that give 2448 after multiplying
2 × 1224 = 2448
3 × 816 = 2448
4 × 612 = 2448
6 × 408 = 2448
8 × 306 = 2448
12 × 204 = 2448
16 × 153 = 2448
24 × 102 = 2448
32 × 76.5 = 2448
Therefore, the positive factor pairs of 2448 are: (1, 2448), (2, 1224), (3, 816), (4, 612), (6, 408), (8, 306), (12, 204), (16, 153), (24, 102), (32, 76.5).
All these factor pairs result in 2448.
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 a simple division method -
Step 1: Divide 2448 by 1, 2448 ÷ 1 = 2448.
Step 2: Continue dividing 2448 by the numbers until the remainder becomes 0.
2448 ÷ 1 = 2448
2448 ÷ 2 = 1224
2448 ÷ 3 = 816
2448 ÷ 4 = 612
2448 ÷ 6 = 408
2448 ÷ 8 = 306
2448 ÷ 12 = 204
2448 ÷ 16 = 153
2448 ÷ 24 = 102
2448 ÷ 32 = 76.5
Therefore, the factors of 2448 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 51, 64, 96, 102, 128, 153, 204, 256, 384, 408, 612, 816, 1224, 2448.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 2448 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2448 ÷ 2 = 1224
1224 ÷ 2 = 612
612 ÷ 2 = 306
306 ÷ 2 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
The prime factors of 2448 are 2, 3, and 17.
The prime factorization of 2448 is: 2^5 × 3^2 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2448 is divided by 2 to get 1224.
Step 2: Now divide 1224 by 2 to get 612.
Step 3: Then divide 612 by 2 to get 306.
Step 4: Divide 306 by 2 to get 153.
Step 5: Divide 153 by 3 to get 51.
Step 6: Divide 51 by 3 to get 17.
Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 2448 is: 2^5 × 3^2 × 17.
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 2448: (1, 2448), (2, 1224), (3, 816), (4, 612), (6, 408), (8, 306), (12, 204), (16, 153), (24, 102), (32, 76.5).
Negative factor pairs of 2448: (-1, -2448), (-2, -1224), (-3, -816), (-4, -612), (-6, -408), (-8, -306), (-12, -204), (-16, -153), (-24, -102), (-32, -76.5).
Common Mistakes and How to Avoid Them in Factors of 2448
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 word. Always remember to include 1 and the number itself.
For example, in factors of 2448, 1 and 2448 are also factors.
Factors of 2448 Examples
Problem 1
There are 12 classrooms and 2448 desks. How will they distribute the desks equally?
They will get 204 desks each.
Explanation
To distribute the desks equally, we need to divide the total desks with the number of classrooms.
2448/12 = 204
Problem 2
A rectangular park has a length of 204 meters and the total area is 2448 square meters. Find the width.
12 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
2448 = 204 × width
To find the value of width, we need to shift 204 to the left side.
2448/204 = width
Width = 12.
Problem 3
There are 24 buses and 2448 passengers. How many passengers will be in each bus?
Each bus will have 102 passengers.
Explanation
To find the passengers in each bus, divide the total passengers with the buses.
2448/24 = 102
Problem 4
In a class, there are 2448 students, and 204 groups. How many students are there in each group?
There are 12 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
2448/204 = 12
Problem 5
2448 books need to be arranged in 12 shelves. How many books will go on each shelf?
Each of the shelves has 204 books.
Explanation
Divide total books with shelves.
2448/12 = 204
FAQs on Factors of 2448
1.What are the factors of 2448?
2.Mention the prime factors of 2448.
3.Is 2448 a multiple of 3?
4.Mention the factor pairs of 2448?
5.What is the square of 2448?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 2448?
7.What are some fun ways kids in Indonesia can practice Factors of 2448 with numbers?
8.What role do numbers and Factors of 2448 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 2448 skills?
Important Glossaries for Factor of 2448
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2448 are 1, 2, 3, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 17 are prime factors of 2448.
- 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 2448 are (1, 2448), (2, 1224), etc.
- Prime factorization: Breaking down a composite number into its prime factors. For example, the prime factorization of 2448 is 2^5 × 3^2 × 17.
- Multiples: Numbers that can be divided by another number without a remainder. For example, 2448 is a multiple of 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.
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