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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 3600

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 the items equally, arranging things, etc. In this topic, we will learn about the factors of 3600, how they are used in real life, and the tips to learn them quickly.

Factors of 3600 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 3600?

The numbers that divide 3600 evenly are known as factors of 3600.

 

A factor of 3600 is a number that divides the number without a remainder.

 

The factors of 3600 include 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, and 3600.

 

Negative factors of 3600: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -16, -18, -20, -24, -25, -30, -36, -40, -45, -48, -50, -60, -72, -75, -80, -90, -100, -120, -144, -150, -180, -200, -225, -240, -300, -360, -400, -450, -600, -720, -900, -1200, -1800, and -3600.

 

Prime factors of 3600: 2, 3, and 5.

 

Prime factorization of 3600: 24 × 32 × 52.

 

The sum of factors of 3600: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 16 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 48 + 50 + 60 + 72 + 75 + 80 + 90 + 100 + 120 + 144 + 150 + 180 + 200 + 225 + 240 + 300 + 360 + 400 + 450 + 600 + 720 + 900 + 1200 + 1800 + 3600 = 12483

Professor Greenline from BrightChamps

How to Find Factors of 3600?

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 3600. Identifying the numbers which are multiplied to get the number 3600 is the multiplication method.

 

Step 1: Multiply 3600 by 1, 3600 × 1 = 3600.

 

Step 2: Check for other numbers that give 3600 after multiplying

2 × 1800 = 3600

3 × 1200 = 3600

4 × 900 = 3600

5 × 720 = 3600

6 × 600 = 3600

8 × 450 = 3600

9 × 400 = 3600

10 × 360 = 3600

12 × 300 = 3600

15 × 240 = 3600

16 × 225 = 3600

18 × 200 = 3600

20 × 180 = 3600

24 × 150 = 3600

25 × 144 = 3600

30 × 120 = 3600

36 × 100 = 3600

40 × 90 = 3600

45 × 80 = 3600

48 × 75 = 3600

50 × 72 = 3600

60 × 60 = 3600

 

Therefore, the positive factor pairs of 3600 include: (1, 3600), (2, 1800), (3, 1200), (4, 900), (5, 720), (6, 600), (8, 450), (9, 400), (10, 360), (12, 300), (15, 240), (16, 225), (18, 200), (20, 180), (24, 150), (25, 144), (30, 120), (36, 100), (40, 90), (45, 80), (48, 75), and (50, 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 3600 by 1, 3600 ÷ 1 = 3600.

 

Step 2: Continue dividing 3600 by the numbers until the remainder becomes 0.

3600 ÷ 1 = 3600

3600 ÷ 2 = 1800

3600 ÷ 3 = 1200

3600 ÷ 4 = 900

3600 ÷ 5 = 720

3600 ÷ 6 = 600

3600 ÷ 8 = 450

3600 ÷ 9 = 400

3600 ÷ 10 = 360

3600 ÷ 12 = 300

3600 ÷ 15 = 240

3600 ÷ 16 = 225

3600 ÷ 18 = 200

3600 ÷ 20 = 180

3600 ÷ 24 = 150

3600 ÷ 25 = 144

3600 ÷ 30 = 120

3600 ÷ 36 = 100

3600 ÷ 40 = 90

3600 ÷ 45 = 80

3600 ÷ 48 = 75

3600 ÷ 50 = 72

3600 ÷ 60 = 60

 

Therefore, the factors of 3600 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, and 3600.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing 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 3600 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

3600 ÷ 2 = 1800

1800 ÷ 2 = 900

900 ÷ 2 = 450

450 ÷ 3 = 150

150 ÷ 3 = 50

50 ÷ 5 = 10

10 ÷ 5 = 2

 

The prime factors of 3600 are 2, 3, and 5.

 

The prime factorization of 3600 is: 24 × 32 × 52.

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, 3600 is divided by 2 to get 1800.

 

Step 2: Now divide 1800 by 2 to get 900.

 

Step 3: Then divide 900 by 2 to get 450.

 

Step 4: Divide 450 by 3 to get 150.

 

Step 5: Divide 150 by 3 to get 50.

 

Step 6: Divide 50 by 5 to get 10.

 

Step 7: Divide 10 by 5 to get 2. Here, 2 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3600 is: 24 × 32 × 52.

 

Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.

 

Positive factor pairs of 3600: (1, 3600), (2, 1800), (3, 1200), (4, 900), (5, 720), (6, 600), (8, 450), (9, 400), (10, 360), (12, 300), (15, 240), (16, 225), (18, 200), (20, 180), (24, 150), (25, 144), (30, 120), (36, 100), (40, 90), (45, 80), (48, 75), and (50, 72).

 

Negative factor pairs of 3600: (-1, -3600), (-2, -1800), (-3, -1200), (-4, -900), (-5, -720), (-6, -600), (-8, -450), (-9, -400), (-10, -360), (-12, -300), (-15, -240), (-16, -225), (-18, -200), (-20, -180), (-24, -150), (-25, -144), (-30, -120), (-36, -100), (-40, -90), (-45, -80), (-48, -75), and (-50, -72).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 3600

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 3600, 1 and 3600 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 3600 Examples

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

Problem 1

There are 36 people and 3600 apples. How will they divide them equally?

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

They will get 100 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of people.

3600/36 = 100

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 60 meters, and the total area is 3600 square meters. Find the width.

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

60 meters.

Explanation

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

Area = length × width

3600 = 60 × width

To find the value of width, we need to shift 60 to the left side.

3600/60 = width

Width = 60.

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

Problem 3

There are 24 containers and 3600 oranges. How many oranges will be in each container?

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

Each container will have 150 oranges.

Explanation

To find the oranges in each container, divide the total oranges by the containers.

3600/24 = 150

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

Problem 4

In a conference, there are 3600 participants and 45 groups. How many participants are there in each group?

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

There are 80 participants in each group.

Explanation

Dividing the participants by the total groups, we will get the number of participants in each group.

3600/45 = 80

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

Problem 5

3600 papers need to be arranged in 12 stacks. How many papers will go in each stack?

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

Each stack has 300 papers.

Explanation

Divide the total papers by the stacks.

3600/12 = 300

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

FAQs on Factors of 3600

1.What are the factors of 3600?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 3600.

Math FAQ Answers Dropdown Arrow

3.Is 3600 a multiple of 4?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 3600?

Math FAQ Answers Dropdown Arrow

5.What is the square of 3600?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 3600?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 3600 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 3600 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 3600 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 3600

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3600 are 1, 2, 3, 4, etc.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 3600.

 

  • 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 3600 are (1, 3600), (2, 1800), etc.

 

  • Prime factorization: The process of breaking down a number into the product of its prime factors. For example, the prime factorization of 3600 is 24 × 32 × 52.

 

  • Multiples: Numbers that can be divided by another number without a remainder. For example, 3600 is a multiple of 4.
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 3600 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