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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 337

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

Factors of 337 for Indian Students
Professor Greenline from BrightChamps

What are the Factors of 337?

The numbers that divide 337 evenly are known as factors of 337.

 

A factor of 337 is a number that divides the number without remainder.

 

The factors of 337 are 1 and 337.

 

Negative factors of 337: -1 and -337.

 

Prime factors of 337: 337 (since 337 is a prime number).

 

Prime factorization of 337: 337 (itself, as it is a prime number).

 

The sum of factors of 337: 1 + 337 = 338factors of 337

Professor Greenline from BrightChamps

How to Find Factors of 337?

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 identify any pairs of numbers that multiply to give 337. Since 337 is a prime number, the only multiplication that works is:

 

Step 1: Multiply 337 by 1, 337 × 1 = 337.

 

Therefore, the positive factor pair of 337 is: (1, 337).

 

Every positive factor has a corresponding negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given number by whole numbers until the remainder becomes zero helps in listing out the factors. Factors can be calculated by the following simple division method:

 

Step 1: Divide 337 by 1, 337 ÷ 1 = 337.

 

Since 337 is a prime number, no other division results in a whole number.

 

Therefore, the factors of 337 are: 1 and 337.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

The factors can be found by dividing it by prime numbers. We can find the prime factors using the following methods:

 

  • Using prime factorization
     
  • Using factor tree

 

Using Prime Factorization: As 337 is a prime number, it is its own prime factor.

 

The prime factorization of 337 is: 337.

Professor Greenline from BrightChamps

Factor Tree

The factor tree is a graphical representation of breaking down any number into prime factors. Since 337 is a prime number, the factor tree is simple:

 

Step 1: 337 is already a prime number and cannot be divided further. So, the prime factorization of 337 is: 337.

 

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 pair of 337: (1, 337).

 

Negative factor pair of 337: (-1, -337).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 337

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 337, 1 and 337 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 337 Examples

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

Problem 1

There are 3 friends and 337 pages to read. How will they divide the reading equally among themselves?

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

They will not be able to divide it equally without splitting pages.

Explanation

To divide the pages equally, we need to divide the total pages by the number of friends.

 

337 is a prime number and cannot be divided evenly by 3.

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

Problem 2

A painting is 337 cm in height and needs to be framed. If the width of the frame is 1 cm, what is the total height of the framed painting?

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

339 cm.

Explanation

To find the total height of the framed painting, add twice the width of the frame to the height.

 

337 + 2 × 1 = 339

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

Problem 3

There are 337 marbles and 2 boxes. Can we distribute the marbles equally in the boxes?

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

No, the marbles cannot be distributed equally without splitting.

Explanation

Since 337 is a prime number, it cannot be evenly divided by 2.

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

Problem 4

A group of students is measuring a 337-meter track. If each student measures 1 meter, how many students are needed?

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

337 students.

Explanation

Each student measures 1 meter, so the total number of students needed is equal to the length of the track:

 

337/1 = 337

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

Problem 5

There is a 337-liter tank of water. If you use 1-liter bottles to fill it, how many bottles will you need?

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

You will need 337 bottles.

Explanation

To fill the tank, divide the total liters by the size of the bottle:

 

337/1 = 337

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

FAQs on Factors of 337

1.What are the factors of 337?

Math FAQ Answers Dropdown Arrow

2.Is 337 a prime number?

Math FAQ Answers Dropdown Arrow

3.Is 337 a multiple of any number other than 1 and itself?

Math FAQ Answers Dropdown Arrow

4.What are the negative factors of 337?

Math FAQ Answers Dropdown Arrow

5.What is the sum of the factors of 337?

Math FAQ Answers Dropdown Arrow

6.How can children in India use numbers in everyday life to understand Factors of 337?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in India can practice Factors of 337 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 337 play in helping children in India develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in India create number-rich environments to improve Factors of 337 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 337

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 337 are 1 and 337.
     
  • Prime factors: The factors which are prime numbers. For example, 337 is its own prime factor.
     
  • Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 337 is a prime number.
     
  • Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 337 is (1, 337).
     
  • Negative factors: Negative numbers that divide the given number without leaving a remainder. For example, -1 and -337 are negative factors of 337.
Professor Greenline from BrightChamps

About BrightChamps in India

At BrightChamps, numbers mean more than just digits—they open pathways to endless opportunities! We’re here to help children all over India grasp crucial math skills, focusing on today’s Factors of 337 with a special look at factors—in a way that’s enjoyable, simple, and interactive. Whether your child is calculating the speed of a train passing by, following scores in a cricket match, or managing their pocket money for new gadgets, knowing numbers helps build their confidence in daily life. Our hands-on lessons keep learning fun and easy. Since kids in India learn in many ways, we customize lessons to fit each learner. From Mumbai’s lively markets to Delhi’s vibrant streets, BrightChamps makes math meaningful and exciting all across India. Let’s turn factors into a fun part of every child’s math story!
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