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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 558

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

Factors of 558 for UK Students
Professor Greenline from BrightChamps

What are the Factors of 558?

The numbers that divide 558 evenly are known as factors of 558.

 

A factor of 558 is a number that divides the number without remainder.

 

The factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558.

 

Negative factors of 558: -1, -2, -3, -6, -9, -18, -31, -62, -93, -186, -279, and -558.

 

Prime factors of 558: 2, 3, and 31.

 

Prime factorization of 558: 2 × 3 × 31.

 

The sum of factors of 558: 1 + 2 + 3 + 6 + 9 + 18 + 31 + 62 + 93 + 186 + 279 + 558 = 1248

factors of 558

Professor Greenline from BrightChamps

How to Find Factors of 558?

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 558. Identifying the numbers which are multiplied to get the number 558 is the multiplication method.

 

Step 1: Multiply 558 by 1, 558 × 1 = 558.

 

Step 2: Check for other numbers that give 558 after multiplying

 

2 × 279 = 558

3 × 186 = 558

6 × 93 = 558

9 × 62 = 558

18 × 31 = 558

 

Therefore, the positive factor pairs of 558 are: (1, 558), (2, 279), (3, 186), (6, 93), (9, 62), (18, 31). 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 simple division method -

 

Step 1: Divide 558 by 1, 558 ÷ 1 = 558.

 

Step 2: Continue dividing 558 by the numbers until the remainder becomes 0.

 

558 ÷ 1 = 558

558 ÷ 2 = 279

558 ÷ 3 = 186

558 ÷ 6 = 93

558 ÷ 9 = 62

558 ÷ 18 = 31

 

Therefore, the factors of 558 are: 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558.

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

 

558 ÷ 2 = 279

279 ÷ 3 = 93

93 ÷ 3 = 31

31 ÷ 31 = 1

 

The prime factors of 558 are 2, 3, and 31.

 

The prime factorization of 558 is: 2 × 3 × 31.

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, 558 is divided by 2 to get 279.

 

Step 2: Now divide 279 by 3 to get 93.

 

Step 3: Then divide 93 by 3 to get 31.

 

Step 4: As 31 is a prime number, it cannot be divided anymore.

 

So, the prime factorization of 558 is: 2 × 3 × 31.

 

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 558: (1, 558), (2, 279), (3, 186), (6, 93), (9, 62), and (18, 31).

 

Negative factor pairs of 558: (-1, -558), (-2, -279), (-3, -186), (-6, -93), (-9, -62), and (-18, -31).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 558

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 558, 1 and 558 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 558 Examples

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

Problem 1

There are 6 teams and 558 apples. How will they divide them equally?

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

They will get 93 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of teams. 558/6 = 93

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

Problem 2

A field is rectangular, the length of the field is 31 meters and the total area is 558 square meters. Find the width?

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

18 meters.

Explanation

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

 

Area = length × width

 

558 = 31 × width

 

To find the value of width, we need to shift 31 to the left side.

 

558/31 = width

 

Width = 18.

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

Problem 3

There are 62 baskets and 558 oranges. How many oranges will be in each basket?

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

Each basket will have 9 oranges.

Explanation

To find the oranges in each basket, divide the total oranges by the baskets.

 

558/62 = 9

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

Problem 4

In a class, there are 558 students, and 18 groups. How many students are there in each group?

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

There are 31 students in each group.

Explanation

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

 

558/18 = 31

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

Problem 5

558 books need to be arranged in 93 shelves. How many books will go on each shelf?

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

Each of the shelves has 6 books.

Explanation

Divide total books by shelves.

 

558/93 = 6

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

FAQs on Factors of 558

1.What are the factors of 558?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 558.

Math FAQ Answers Dropdown Arrow

3.Is 558 a multiple of 9?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 558?

Math FAQ Answers Dropdown Arrow

5.What is the square of 558?

Math FAQ Answers Dropdown Arrow

6.How can children in United Kingdom use numbers in everyday life to understand Factors of 558?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United Kingdom can practice Factors of 558 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 558 play in helping children in United Kingdom develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in United Kingdom create number-rich environments to improve Factors of 558 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 558

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 558 are 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, and 558.

     
  • Prime factors: The factors which are prime numbers. For example, 2, 3, and 31 are prime factors of 558.

     
  • 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 558 are (1, 558), (2, 279), etc.

     
  • Prime factorization: The expression of a number as the product of its prime factors. For 558, it is 2 × 3 × 31.

     
  • Multiple: The product of a number and an integer. For example, 558 is a multiple of 9.
Professor Greenline from BrightChamps

About BrightChamps in United Kingdom

At BrightChamps, numbers are more than just figures—they open doors to endless opportunities! Our mission is to help children across the United Kingdom gain essential math skills, focusing today on Factors of 558 with special attention to understanding factors—in an engaging, enjoyable, and easy-to-follow way. Whether your child is working out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money to buy the latest gadgets, strong number skills give them confidence in daily life. Our interactive lessons make learning simple and fun. Because children in the UK have varied learning styles, we tailor our approach to suit each learner. From London’s busy streets to Cornwall’s beautiful coasts, BrightChamps brings math to life, making it relatable and exciting throughout the UK. Let’s make factors an enjoyable 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