102 LearnersLast updated on May 26th, 2025
Factors of 2544
Factors are the numbers that divide any given number evenly without 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 2544, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 2544?
The numbers that divide 2544 evenly are known as factors of 2544.
A factor of 2544 is a number that divides the number without remainder.
The factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, and 2544.
Negative factors of 2544: -1, -2, -3, -4, -6, -8, -12, -16, -24, -32, -48, -53, -96, -106, -159, -212, -318, -424, -636, -848, -1272, and -2544.
Prime factors of 2544: 2, 3, and 53.
Prime factorization of 2544: 2^4 × 3 × 53.
The sum of factors of 2544: 1 + 2 + 3 + 4 + 6 + 8 + 12 + 16 + 24 + 32 + 48 + 53 + 96 + 106 + 159 + 212 + 318 + 424 + 636 + 848 + 1272 + 2544 = 6036
How to Find Factors of 2544?
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 2544. Identifying the numbers which are multiplied to get the number 2544 is the multiplication method.
Step 1: Multiply 2544 by 1, 2544 × 1 = 2544.
Step 2: Check for other numbers that give 2544 after multiplying
2 × 1272 = 2544
3 × 848 = 2544
4 × 636 = 2544
6 × 424 = 2544
8 × 318 = 2544
12 × 212 = 2544
16 × 159 = 2544
24 × 106 = 2544
32 × 79.5 = 2544
48 × 53 = 2544
Therefore, the positive factor pairs of 2544 are: (1, 2544), (2, 1272), (3, 848), (4, 636), (6, 424), (8, 318), (12, 212), (16, 159), (24, 106), (32, 79.5), (48, 53).
All these factor pairs result in 2544.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 2544 by 1, 2544 ÷ 1 = 2544.
Step 2: Continue dividing 2544 by the numbers until the remainder becomes 0.
2544 ÷ 1 = 2544
2544 ÷ 2 = 1272
2544 ÷ 3 = 848
2544 ÷ 4 = 636
2544 ÷ 6 = 424
2544 ÷ 8 = 318
2544 ÷ 12 = 212
2544 ÷ 16 = 159
2544 ÷ 24 = 106
2544 ÷ 32 = 79.5
2544 ÷ 48 = 53
Therefore, the factors of 2544 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, and 2544.
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 factor tree
Using Prime Factorization: In this process, prime factors of 2544 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2544 ÷ 2 = 1272
1272 ÷ 2 = 636
636 ÷ 2 = 318
318 ÷ 2 = 159
159 ÷ 3 = 53
53 ÷ 53 = 1
The prime factors of 2544 are 2, 3, and 53.
The prime factorization of 2544 is: 2^4 × 3 × 53.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2544 is divided by 2 to get 1272.
Step 2: Now divide 1272 by 2 to get 636.
Step 3: Then divide 636 by 2 to get 318.
Step 4: Divide 318 by 2 to get 159.
Step 5: Divide 159 by 3 to get 53. Here,
53 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 2544 is: 2^4 × 3 × 53.
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 2544: (1, 2544), (2, 1272), (3, 848), (4, 636), (6, 424), (8, 318), (12, 212), (16, 159), (24, 106), (32, 79.5), (48, 53).
Negative factor pairs of 2544: (-1, -2544), (-2, -1272), (-3, -848), (-4, -636), (-6, -424), (-8, -318), (-12, -212), (-16, -159), (-24, -106), (-32, -79.5), (-48, -53).
Common Mistakes and How to Avoid Them in Factors of 2544
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 2544, 1 and 2544 is also a factor.
Factors of 2544 Examples
Problem 1
There are 16 friends and 2544 candies. How will they divide it equally?
They will get 159 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
2544/16 = 159
Problem 2
A field is rectangular, the length of the field is 53 meters and the total area is 2544 square meters. Find the width?
48 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
2544 = 53 × width
To find the value of width, we need to shift 53 to the left side.
2544/53 = width
Width = 48.
Problem 3
There are 24 bags and 2544 marbles. How many marbles will be in each bag?
Each bag will have 106 marbles.
Explanation
To find the marbles in each bag, divide the total marbles with the bags.
2544/24 = 106
Problem 4
In a class, there are 2544 students, and 53 groups. How many students are there in each group?
There are 48 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
2544/53 = 48
Problem 5
2544 books need to be arranged in 53 shelves. How many books will go on each shelf?
Each of the shelves has 48 books.
Explanation
Divide total books with shelves.
2544/53 = 48
FAQs on Factors of 2544
1.What are the factors of 2544?
2.Mention the prime factors of 2544.
3.Is 2544 a multiple of 4?
4.Mention the factor pairs of 2544?
5.What is the square of 2544?
6.How can children in Philippines use numbers in everyday life to understand Factors of 2544?
7.What are some fun ways kids in Philippines can practice Factors of 2544 with numbers?
8.What role do numbers and Factors of 2544 play in helping children in Philippines develop problem-solving skills?
9.How can families in Philippines create number-rich environments to improve Factors of 2544 skills?
Important Glossaries for Factors of 2544
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 53, 96, 106, 159, 212, 318, 424, 636, 848, 1272, and 2544.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 53 are prime factors of 2544.
- 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 2544 are (1, 2544), (2, 1272), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For instance, the prime factorization of 2544 is 2^4 × 3 × 53.
- Multiple: A number that can be divided by another number without a remainder. For example, 2544 is a multiple of 4.
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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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