BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 564

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

Factors of 564 for Bahraini Students
Professor Greenline from BrightChamps

What are the Factors of 564?

The numbers that divide 564 evenly are known as factors of 564.

 

A factor of 564 is a number that divides the number without a remainder.

 

The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, and 564.

 

Negative factors of 564: -1, -2, -3, -4, -6, -12, -47, -94, -141, -188, -282, and -564.

 

Prime factors of 564: 2, 3, and 47.

 

Prime factorization of 564: 2² × 3 × 47.

 

The sum of factors of 564: 1 + 2 + 3 + 4 + 6 + 12 + 47 + 94 + 141 + 188 + 282 + 564 = 1344

factors of 564

Professor Greenline from BrightChamps

How to Find Factors of 564?

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 564. Identifying the numbers which are multiplied to get the number 564 is the multiplication method.

 

Step 1: Multiply 564 by 1, 564 × 1 = 564.

 

Step 2: Check for other numbers that give 564 after multiplying

 

2 × 282 = 564

3 × 188 = 564

4 × 141 = 564

6 × 94 = 564

12 × 47 = 564

 

Therefore, the positive factor pairs of 564 are: (1, 564), (2, 282), (3, 188), (4, 141), (6, 94), (12, 47). For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given numbers with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following the simple division method -

 

Step 1: Divide 564 by 1, 564 ÷ 1 = 564.

 

Step 2: Continue dividing 564 by the numbers until the remainder becomes 0.

 

564 ÷ 1 = 564

564 ÷ 2 = 282

564 ÷ 3 = 188

564 ÷ 4 = 141

564 ÷ 6 = 94

564 ÷ 12 = 47

 

Therefore, the factors of 564 are: 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564.

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 factor tree
     

Using Prime Factorization: In this process, prime factors of 564 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.

 

564 ÷ 2 = 282

282 ÷ 2 = 141

141 ÷ 3 = 47

47 ÷ 47 = 1

 

The prime factors of 564 are 2, 3, and 47.

 

The prime factorization of 564 is: 2² × 3 × 47.

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, 564 is divided by 2 to get 282.

 

Step 2: Now divide 282 by 2 to get 141.

 

Step 3: Then divide 141 by 3 to get 47. Here, 47 is a prime number and cannot be divided anymore. So, the prime factorization of 564 is: 2² × 3 × 47.

 

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 564: (1, 564), (2, 282), (3, 188), (4, 141), (6, 94), (12, 47).

 

Negative factor pairs of 564: (-1, -564), (-2, -282), (-3, -188), (-4, -141), (-6, -94), (-12, -47).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 564

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 564, 1 and 564 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 564 Examples

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

Problem 1

There are 12 teams and 564 points. How will they distribute it equally?

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

Each team will receive 47 points.

Explanation

To distribute the points equally, we need to divide the total points by the number of teams.

 

564/12 = 47

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 6 meters and the total area is 564 square meters. Find the width?

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

94 meters.

Explanation

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

 

Area = length × width

 

564 = 6 × width

 

To find the value of width, we need to shift 6 to the left side.

 

564/6 = width

 

Width = 94.

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

Problem 3

There are 47 packages and 564 items. How many items will be in each package?

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

Each package will have 12 items.

Explanation

To find the items in each package, divide the total items by the packages.

 

564/47 = 12

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

Problem 4

In a competition, there are 564 participants and 3 groups. How many participants are there in each group?

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

There are 188 participants in each group.

Explanation

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

 

564/3 = 188

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

Problem 5

564 books need to be arranged in 4 shelves. How many books will go on each shelf?

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

Each of the shelves has 141 books.

Explanation

Divide total books with shelves.

 

564/4 = 141

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

FAQs on Factors of 564

1.What are the factors of 564?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 564.

Math FAQ Answers Dropdown Arrow

3.Is 564 a multiple of 6?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 564?

Math FAQ Answers Dropdown Arrow

5.What is the square of 564?

Math FAQ Answers Dropdown Arrow

6.How can children in Bahrain use numbers in everyday life to understand Factors of 564?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Bahrain can practice Factors of 564 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 564 play in helping children in Bahrain develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Bahrain create number-rich environments to improve Factors of 564 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 564

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, and 564.

     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 47 are prime factors of 564.

     
  • 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 564 are (1, 564), (2, 282), etc.

     
  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 564 is 2² × 3 × 47.

     
  • Multiple: A number is a multiple of another if it can be divided by that number without a remainder. For example, 564 is a multiple of 6.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, numbers are more than just digits—they unlock countless opportunities! Our goal is to help kids all over Bahrain build essential math skills, focusing today on Factors of 564 with a special focus on factors—in a lively, fun, and easy-to-follow way. Whether your child is calculating the speed of a roller coaster at Wahooo! Waterpark, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers boosts everyday confidence. Our interactive lessons make learning simple and enjoyable. Since kids in Bahrain learn in various ways, we adapt lessons to fit each learner. From Manama’s lively city to peaceful beaches, BrightChamps brings math to life all over Bahrain. Let’s make factors a fun 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