BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon102 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 598

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

Factors of 598 for Global Students
Professor Greenline from BrightChamps

What are the Factors of 598?

The numbers that divide 598 evenly are known as factors of 598.

 

A factor of 598 is a number that divides the number without remainder.

 

The factors of 598 are 1, 2, 299, and 598.

 

Negative factors of 598: -1, -2, -299, and -598.

 

Prime factors of 598: 2 and 299.

 

Prime factorization of 598: 2 × 299.

 

The sum of factors of 598: 1 + 2 + 299 + 598 = 900

factors of 598

Professor Greenline from BrightChamps

How to Find Factors of 598?

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 598. Identifying the numbers which are multiplied to get the number 598 is the multiplication method.

 

Step 1: Multiply 598 by 1, 598 × 1 = 598.

 

Step 2: Check for other numbers that give 598 after multiplying     

 

2 × 299 = 598

 

Therefore, the positive factor pairs of 598 are: (1, 598) and (2, 299). All these factor pairs result in 598. 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 as whole numbers as factors. Factors can be calculated by following a simple division method -

 

Step 1: Divide 598 by 1, 598 ÷ 1 = 598.

 

Step 2: Continue dividing 598 by the numbers until the remainder becomes 0.

 

598 ÷ 1 = 598

598 ÷ 2 = 299

 

Therefore, the factors of 598 are: 1, 2, 299, 598.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing them 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 598 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

598 ÷ 2 = 299

299 ÷ 299 = 1

 

The prime factors of 598 are 2 and 299.

 

The prime factorization of 598 is: 2 × 299.

Professor Greenline from BrightChamps

Factor Tree

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

 

Step 1: Firstly, 598 is divided by 2 to get 299.

 

Step 2: Since 299 is a prime number, it cannot be divided further.

 

So, the prime factorization of 598 is: 2 × 299.

 

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 598: (1, 598) and (2, 299).

 

Negative factor pairs of 598: (-1, -598) and (-2, -299).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 598

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 598, 1 and 598 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 598 Examples

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

Problem 1

A club distributes 598 flyers equally among its members. If each member receives 2 flyers, how many members are there?

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

There are 299 members.

Explanation

To find the number of members, divide the total flyers by the number of flyers each member receives.

 

598/2 = 299

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

Problem 2

A garden path is 2 meters wide and covers an area of 598 square meters. What is the length of the path?

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

299 meters.

Explanation

To find the length of the path, use the formula,    

 

 Area = length × width     

 

598 = length × 2

 

To find the value of the length, divide 598 by 2.     

 

598/2 = length    

 

 Length = 299.

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

Problem 3

A teacher has 598 pencils and wants to distribute them equally among 299 students. How many pencils will each student receive?

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

Each student will receive 2 pencils.

Explanation

To find the pencils each student receives, divide the total pencils by the number of students.     

 

598/299 = 2

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

Problem 4

A roll of fabric is 598 meters long and needs to be cut into pieces of 2 meters each. How many pieces will there be?

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

There will be 299 pieces.

Explanation

Divide the total length of the fabric by the length of each piece.     

 

598/2 = 299

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

Problem 5

A company orders 598 chairs to be arranged in rows of 2 chairs each. How many rows will there be?

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

There will be 299 rows.

Explanation

Divide the total number of chairs by the number of chairs per row.     

 

598/2 = 299

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

FAQs on Factors of 598

1.What are the factors of 598?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 598.

Math FAQ Answers Dropdown Arrow

3.Is 598 a multiple of 2?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 598?

Math FAQ Answers Dropdown Arrow

5.What is the square of 598?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 598

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 598 are 1, 2, 299, and 598.

     
  • Prime factors: The factors which are prime numbers. For example, 2 and 299 are prime factors of 598.

     
  • 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 598 are (1, 598) and (2, 299).

     
  • Prime factorization: The expression of a number as a product of its prime factors. For 598, it is 2 × 299.

     
  • Multiple: A multiple of a number is the product of that number and an integer. For example, 598 is a multiple of 2.
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