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Last updated on May 26th, 2025

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Factors of 567

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

Factors of 567 for Singaporean Students
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What are the Factors of 567?

The numbers that divide 567 evenly are known as factors of 567.

 

A factor of 567 is a number that divides the number without remainder.

 

The factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, and 567.

 

Negative factors of 567: -1, -3, -7, -9, -21, -27, -63, -81, -189, and -567.

 

Prime factors of 567: 3 and 7.

 

Prime factorization of 567: 34 × 7.

 

The sum of factors of 567: 1 + 3 + 7 + 9 + 21 + 27 + 63 + 81 + 189 + 567 = 969

factors of 567

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How to Find Factors of 567?

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
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Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 567. Identifying the numbers which are multiplied to get the number 567 is the multiplication method. Step 1: Multiply 567 by 1, 567 × 1 = 567. Step 2: Check for other numbers that give 567 after multiplying 3 × 189 = 567 7 × 81 = 567 9 × 63 = 567 21 × 27 = 567 Therefore, the positive factor pairs of 567 are: (1, 567), (3, 189), (7, 81), (9, 63), (21, 27). All these factor pairs result in 567. For every positive factor, there is a negative factor.

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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 567 by 1, 567 ÷ 1 = 567.

 

Step 2: Continue dividing 567 by the numbers until the remainder becomes 0.

 

567 ÷ 1 = 567

567 ÷ 3 = 189

567 ÷ 7 = 81

567 ÷ 9 = 63

567 ÷ 21 = 27

 

Therefore, the factors of 567 are: 1, 3, 7, 9, 21, 27, 63, 81, 189, 567.

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

 

567 ÷ 3 = 189

189 ÷ 3 = 63

63 ÷ 3 = 21

21 ÷ 3 = 7

7 ÷ 7 = 1

 

The prime factors of 567 are 3 and 7.

 

The prime factorization of 567 is: 34 × 7.

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Factor Tree

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

 

Step 1: Firstly, 567 is divided by 3 to get 189.

 

Step 2: Now divide 189 by 3 to get 63.

 

Step 3: Then divide 63 by 3 to get 21.

 

Step 4: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 567 is: 34 × 7.

 

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 567: (1, 567), (3, 189), (7, 81), (9, 63), and (21, 27).

 

Negative factor pairs of 567: (-1, -567), (-3, -189), (-7, -81), (-9, -63), and (-21, -27).

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Common Mistakes and How to Avoid Them in Factors of 567

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

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Forgetting the number itself and 1 is a factor

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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 567, 1 and 567 are also factors.

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Factors of 567 Examples

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Problem 1

There are 9 friends and 567 apples. How will they divide it equally?

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They will get 63 apples each.

Explanation

To divide the apples equally, we need to divide the total apples with the number of friends.

 

567/9 = 63

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Problem 2

A field is rectangular, the length of the field is 21 meters, and the total area is 567 square meters. Find the width?

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27 meters.

Explanation

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

 

Area = length × width

 

567 = 21 × width

 

To find the value of width, we need to shift 21 to the left side.

 

567/21 = width

 

Width = 27.

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Problem 3

There are 27 bags and 567 candies. How many candies will be in each bag?

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Each bag will have 21 candies.

Explanation

To find the candies in each bag, divide the total candies with the bags.

 

567/27 = 21

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Problem 4

In a class, there are 567 students, and 3 groups. How many students are there in each group?

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There are 189 students in each group.

Explanation

Dividing the students with the total groups, we will get the number of students in each group.

 

567/3 = 189

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Problem 5

567 books need to be arranged in 7 shelves. How many books will go on each shelf?

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Each of the shelves has 81 books.

Explanation

Divide total books with shelves.

 

567/7 = 81

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FAQs on Factors of 567

1.What are the factors of 567?

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2.Mention the prime factors of 567.

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3.Is 567 a multiple of 9?

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4.Mention the factor pairs of 567?

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5.What is the square of 567?

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6.How can children in Singapore use numbers in everyday life to understand Factors of 567?

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7.What are some fun ways kids in Singapore can practice Factors of 567 with numbers?

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8.What role do numbers and Factors of 567 play in helping children in Singapore develop problem-solving skills?

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9.How can families in Singapore create number-rich environments to improve Factors of 567 skills?

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Important Glossaries for Factor of 567

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, and 567.

     
  • Prime factors: The factors which are prime numbers. For example, 3 and 7 are prime factors of 567.

     
  • 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 567 are (1, 567), (3, 189), etc.

     
  • Prime factorization: The expression of a number as the product of its prime factors. For instance, the prime factorization of 567 is 34 × 7.

     
  • Negative factors: The negative counterparts of the positive factors. For example, -1, -3, -7 are negative factors of 567.
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About BrightChamps in Singapore

At BrightChamps, numbers are more than figures—they unlock endless opportunities! We aim to support kids across Singapore in developing key math skills, focusing on Factors of 567 with a special emphasis on factors—in an engaging, clear, and enjoyable way. Whether your child is figuring out the speed of a ride at Universal Studios Singapore, following local football scores, or managing their allowance to buy gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning fun and easy. Because kids in Singapore learn uniquely, we tailor lessons to fit each child’s style. From city streets to scenic gardens, BrightChamps brings math to life throughout Singapore. Let’s make factors an exciting part of every child’s learning journey!
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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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Fun Fact

: She loves to read number jokes and games.

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