BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon100 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 5184

Professor Greenline Explaining Math Concepts

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 5184, how they are used in real life, and the tips to learn them quickly.

Factors of 5184 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 5184?

The numbers that divide 5184 evenly are known as factors of 5184.

 

A factor of 5184 is a number that divides the number without remainder.

 

The factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 324, 432, 648, 864, 1296, 2592, and 5184.

 

Negative factors of 5184: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -27, -32, -36, -48, -54, -72, -81, -96, -108, -144, -162, -216, -324, -432, -648, -864, -1296, -2592, and -5184.

 

Prime factors of 5184: 2 and 3.

 

Prime factorization of 5184: 26 × 34.

 

The sum of factors of 5184: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 27 + 32 + 36 + 48 + 54 + 72 + 81 + 96 + 108 + 144 + 162 + 216 + 324 + 432 + 648 + 864 + 1296 + 2592 + 5184 = 15876

Professor Greenline from BrightChamps

How to Find Factors of 5184?

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
Professor Greenline from BrightChamps

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 5184. Identifying the numbers which are multiplied to get the number 5184 is the multiplication method.

 

Step 1: Multiply 5184 by 1, 5184 × 1 = 5184.

 

Step 2: Check for other numbers that give 5184 after multiplying

 

2 × 2592 = 5184

3 × 1728 = 5184

4 × 1296 = 5184

6 × 864 = 5184

8 × 648 = 5184

9 × 576 = 5184

12 × 432 = 5184

16 × 324 = 5184

18 × 288 = 5184

24 × 216 = 5184

27 × 192 = 5184

32 × 162 = 5184

36 × 144 = 5184

48 × 108 = 5184

54 × 96 = 5184

72 × 72 = 5184

 

Therefore, the positive factor pairs of 5184 are: (1, 5184), (2, 2592), (3, 1728), (4, 1296), (6, 864), (8, 648), (9, 576), (12, 432), (16, 324), (18, 288), (24, 216), (27, 192), (32, 162), (36, 144), (48, 108), (54, 96), and (72, 72).

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

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 5184 by 1, 5184 ÷ 1 = 5184.

 

Step 2: Continue dividing 5184 by the numbers until the remainder becomes 0.

 

5184 ÷ 1 = 5184

5184 ÷ 2 = 2592

5184 ÷ 3 = 1728

5184 ÷ 4 = 1296

5184 ÷ 6 = 864

5184 ÷ 8 = 648

5184 ÷ 9 = 576

5184 ÷ 12 = 432

5184 ÷ 16 = 324

5184 ÷ 18 = 288

5184 ÷ 24 = 216

5184 ÷ 27 = 192

5184 ÷ 32 = 162

5184 ÷ 36 = 144

5184 ÷ 48 = 108

5184 ÷ 54 = 96

5184 ÷ 72 = 72

 

Therefore, the factors of 5184 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 324, 432, 648, 864, 1296, 2592, and 5184.

Professor Greenline from BrightChamps

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 5184 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

5184 ÷ 2 = 2592

2592 ÷ 2 = 1296

1296 ÷ 2 = 648

648 ÷ 2 = 324

324 ÷ 2 = 162

162 ÷ 2 = 81

81 ÷ 3 = 27

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

 

The prime factors of 5184 are 2 and 3.

 

The prime factorization of 5184 is: 26 × 34.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows

 

Step 1: Firstly, 5184 is divided by 2 to get 2592.

 

Step 2: Now divide 2592 by 2 to get 1296.

 

Step 3: Then divide 1296 by 2 to get 648.

 

Step 4: Divide 648 by 2 to get 324.

 

Step 5: Divide 324 by 2 to get 162.

 

Step 6: Divide 162 by 2 to get 81.

 

Step 7: Divide 81 by 3 to get 27.

 

Step 8: Divide 27 by 3 to get 9.

 

Step 9: Divide 9 by 3 to get 3. Here, 3 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 5184 is: 26 × 34.

 

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 5184: (1, 5184), (2, 2592), (3, 1728), (4, 1296), (6, 864), (8, 648), (9, 576), (12, 432), (16, 324), (18, 288), (24, 216), (27, 192), (32, 162), (36, 144), (48, 108), (54, 96), and (72, 72).

 

Negative factor pairs of 5184: (-1, -5184), (-2, -2592), (-3, -1728), (-4, -1296), (-6, -864), (-8, -648), (-9, -576), (-12, -432), (-16, -324), (-18, -288), (-24, -216), (-27, -192), (-32, -162), (-36, -144), (-48, -108), (-54, -96), and (-72, -72).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 5184

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

Red Cross Icon Indicating Mistakes to Avoid in This Math Topic

Forgetting the number itself and 1 is a factor

Green Checkmark Icon Indicating Correct Solutions in This Math Topic

Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 5184, 1 and 5184 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 5184 Examples

Ray, the Character from BrightChamps Explaining Math Concepts
Max, the Girl Character from BrightChamps

Problem 1

There are 72 children and 5184 candies. How will they divide it equally?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

They will get 72 candies each.

Explanation

To divide the candies equally, we need to divide the total candies by the number of children.

 

5184/72 = 72

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 2

A garden is rectangular, the length of the garden is 54 meters and the total area is 5184 square meters. Find the width?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

96 meters.

Explanation

To find the width of the garden, we use the formula,

 

Area = length × width

 

5184 = 54 × width

 

To find the value of width, we need to shift 54 to the left side.

 

5184/54 = width

 

Width = 96.

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

There are 324 boxes and 5184 marbles. How many marbles will be in each box?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each box will have 16 marbles.

Explanation

To find the marbles in each box, divide the total marbles by the boxes.

 

5184/324 = 16

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

In a school, there are 5184 students, and 432 classes. How many students are there in each class?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

There are 12 students in each class.

Explanation

Dividing the students by the total classes, we will get the number of students in each class.

 

5184/432 = 12

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

5184 books need to be arranged in 108 shelves. How many books will go on each shelf?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Each of the shelves has 48 books.

Explanation

Divide the total books by shelves.

 

5184/108 = 48

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Factors of 5184

1.What are the factors of 5184?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 5184.

Math FAQ Answers Dropdown Arrow

3.Is 5184 a multiple of 8?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 5184?

Math FAQ Answers Dropdown Arrow

5.What is the square of 5184?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 5184?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 5184 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 5184 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 5184 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 5184

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5184 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 81, 96, 108, 144, 162, 216, 324, 432, 648, 864, 1296, 2592, and 5184.
     
  • Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 5184.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 5184 is 26 × 34.
     
  • 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 5184 are (1, 5184), (2, 2592), etc.
     
  • Division method: A technique to find factors by dividing the given number by whole numbers until the remainder is zero.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 5184 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math journey!
Math Teacher Background Image
Math Teacher Image

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.

Math Teacher Fun Facts Image
Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

INDONESIA - Axa Tower 45th floor, JL prof. Dr Satrio Kav. 18, Kel. Karet Kuningan, Kec. Setiabudi, Kota Adm. Jakarta Selatan, Prov. DKI Jakarta
INDIA - H.No. 8-2-699/1, SyNo. 346, Rd No. 12, Banjara Hills, Hyderabad, Telangana - 500034
SINGAPORE - 60 Paya Lebar Road #05-16, Paya Lebar Square, Singapore (409051)
USA - 251, Little Falls Drive, Wilmington, Delaware 19808
VIETNAM (Office 1) - Hung Vuong Building, 670 Ba Thang Hai, ward 14, district 10, Ho Chi Minh City
VIETNAM (Office 2) - 143 Nguyễn Thị Thập, Khu đô thị Him Lam, Quận 7, Thành phố Hồ Chí Minh 700000, Vietnam
Dubai - BrightChamps, 8W building 5th Floor, DAFZ, Dubai, United Arab Emirates
UK - Ground floor, Redwood House, Brotherswood Court, Almondsbury Business Park, Bristol, BS32 4QW, United Kingdom