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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 4608

Professor Greenline Explaining Math Concepts

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 4608, how they are used in real life, and tips to learn them quickly.

Factors of 4608 for Vietnamese Students
Professor Greenline from BrightChamps

What are the Factors of 4608?

The numbers that divide 4608 evenly are known as factors of 4608.

 

A factor of 4608 is a number that divides the number without a remainder.

 

The factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 768, 1152, 2304, and 4608.

 

Negative factors of 4608: -1, -2, -3, -4, -6, -8, -9, -12, -16, -18, -24, -32, -36, -48, -64, -72, -96, -128, -144, -192, -288, -384, -576, -768, -1152, -2304, and -4608.

 

Prime factors of 4608: 2 and 3. Prime factorization of 4608: 28 × 32.

 

The sum of factors of 4608: 1 + 2 + 3 + 4 + 6 + 8 + 9 + 12 + 16 + 18 + 24 + 32 + 36 + 48 + 64 + 72 + 96 + 128 + 144 + 192 + 288 + 384 + 576 + 768 + 1152 + 2304 + 4608 = 12480

Professor Greenline from BrightChamps

How to Find Factors of 4608?

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
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 4608. Identifying the numbers which are multiplied to get the number 4608 is the multiplication method.

 

Step 1: Multiply 4608 by 1, 4608 × 1 = 4608.

 

Step 2: Check for other numbers that give 4608 after multiplying

2 × 2304 = 4608

3 × 1536 = 4608

4 × 1152 = 4608

6 × 768 = 4608 ...and so on.

 

Therefore, the positive factor pairs of 4608 include: (1, 4608), (2, 2304), (3, 1536), (4, 1152), (6, 768), etc.

 

For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given number 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 4608 by 1, 4608 ÷ 1 = 4608.

 

Step 2: Continue dividing 4608 by the numbers until the remainder becomes 0.

4608 ÷ 1 = 4608

4608 ÷ 2 = 2304

4608 ÷ 3 = 1536

4608 ÷ 4 = 1152

4608 ÷ 6 = 768 ...and so on.

 

Therefore, the factors of 4608 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 768, 1152, 2304, 4608.

Professor Greenline from BrightChamps

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 4608 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

4608 ÷ 2 = 2304

2304 ÷ 2 = 1152

1152 ÷ 2 = 576

576 ÷ 2 = 288

288 ÷ 2 = 144

144 ÷ 2 = 72

72 ÷ 2 = 36

36 ÷ 2 = 18

18 ÷ 3 = 6

6 ÷ 3 = 2

 

The prime factors of 4608 are 2 and 3.

 

The prime factorization of 4608 is: 28 × 32.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:

 

Step 1: Firstly, 4608 is divided by 2 to get 2304.

 

Step 2: Now divide 2304 by 2 to get 1152.

 

Step 3: Then divide 1152 by 2 to get 576.

 

Step 4: Continue the division process until you reach a prime number. So, the prime factorization of 4608 is: 28 × 32.

 

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 4608: (1, 4608), (2, 2304), (3, 1536), (4, 1152), (6, 768), etc.

 

Negative factor pairs of 4608: (-1, -4608), (-2, -2304), (-3, -1536), (-4, -1152), (-6, -768), etc.

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 4608

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 the factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 4608, 1 and 4608 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 4608 Examples

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

Problem 1

A music concert has 4608 attendees, and each row can accommodate 128 people. How many rows are needed?

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

36 rows.

Explanation

To find the number of rows needed, divide the total attendees by the number of people each row can accommodate.

4608/128 = 36

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

Problem 2

A tile company has 4608 tiles, and they want to create square areas. What is the largest side length they can use?

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

72.

Explanation

The largest side length is the greatest factor of 4608 that is a perfect square, which is 72. 72 × 72 = 5184, which is a factor of 4608.

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

Problem 3

There are 4608 apples, and they need to be packed in boxes containing 192 apples each. How many boxes are needed?

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

24 boxes.

Explanation

To find the number of boxes needed, divide the total apples by the number of apples each box can contain.

4608/192 = 24

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

Problem 4

A hall has a capacity of 4608 seats, and they are arranged in 384 rows. How many seats are there per row?

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

12 seats.

Explanation

Dividing the total seats by the number of rows, we get the number of seats per row.

4608/384 = 12

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

Problem 5

4608 books need to be evenly distributed among 576 shelves. How many books will go on each shelf?

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

8 books.

Explanation

Divide the total number of books by the number of shelves.

4608/576 = 8

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

FAQs on Factors of 4608

1.What are the factors of 4608?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 4608.

Math FAQ Answers Dropdown Arrow

3.Is 4608 a multiple of 9?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 4608?

Math FAQ Answers Dropdown Arrow

5.What is the square root of 4608 approximated to the nearest whole number?

Math FAQ Answers Dropdown Arrow

6.How can children in Vietnam use numbers in everyday life to understand Factors of 4608?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Vietnam can practice Factors of 4608 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 4608 play in helping children in Vietnam develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Vietnam create number-rich environments to improve Factors of 4608 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 4608

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4608 include 1, 2, 3, etc.

 

  • Prime factors: The factors which are prime numbers. For example, 2 and 3 are prime factors of 4608.

 

  • 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 4608 include (1, 4608), (2, 2304), etc.

 

  • Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 4608 is 28 × 32.

 

  • Multiple: A number that can be divided by another number without a remainder. For example, 4608 is a multiple of 9.
Professor Greenline from BrightChamps

About BrightChamps in Vietnam

At BrightChamps, numbers are more than just figures—they unlock countless opportunities! Our mission is to guide children throughout Vietnam in mastering essential math skills, with today’s focus on Factors of 4608 and a special highlight on factors—in a way that’s fun, lively, and easy to understand. Whether your child is figuring out the speed of a roller coaster at Suoi Tien Theme Park, keeping score at a local football game, or managing their allowance to buy cool gadgets, strong number skills boost their everyday confidence. Our interactive lessons make learning simple and enjoyable. Since children in Vietnam learn in different styles, we personalize our approach to each child. From Ho Chi Minh City’s vibrant streets to the stunning views of Ha Long Bay, BrightChamps brings math to life across Vietnam. Let’s make factors an exciting part of every child’s learning 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