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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 591

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

Factors of 591 for Global Students
Professor Greenline from BrightChamps

What are the Factors of 591?

The numbers that divide 591 evenly are known as factors of 591.

 

A factor of 591 is a number that divides the number without remainder.

 

The factors of 591 are 1, 3, 197, and 591.

 

Negative factors of 591: -1, -3, -197, and -591.

 

Prime factors of 591: 3 and 197.

 

Prime factorization of 591: 3 × 197.

 

The sum of factors of 591: 1 + 3 + 197 + 591 = 792

factors of 591

Professor Greenline from BrightChamps

How to Find Factors of 591?

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 591. Identifying the numbers which are multiplied to get the number 591 is the multiplication method.

 

Step 1: Multiply 591 by 1, 591 × 1 = 591.

 

Step 2: Check for other numbers that give 591 after multiplying 3 × 197 = 591

 

Therefore, the positive factor pairs of 591 are: (1, 591), (3, 197). All these factor pairs result in 591. For every positive factor, there is a negative factor.

Professor Greenline from BrightChamps

Finding Factors Using Division Method

Dividing the given number 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 591 by 1, 591 ÷ 1 = 591.

 

Step 2: Continue dividing 591 by the numbers until the remainder becomes 0.

 

591 ÷ 1 = 591

591 ÷ 3 = 197

 

Therefore, the factors of 591 are: 1, 3, 197, 591.

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

 

591 ÷ 3 = 197

 

Since 197 is a prime number, it cannot be divided by any other prime numbers except 1 and itself.

 

The prime factors of 591 are 3 and 197.

 

The prime factorization of 591 is: 3 × 197.

Professor Greenline from BrightChamps

Factor Tree

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

 

Step 1: Firstly, 591 is divided by 3 to get 197.

 

Since 197 is a prime number, it cannot be divided further.

 

So, the prime factorization of 591 is: 3 × 197.

 

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 591: (1, 591), (3, 197).

 

Negative factor pairs of 591: (-1, -591), (-3, -197).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 591

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 factors for every number. Always remember to include 1 and the number itself.

 

For example, in factors of 591, 1 and 591 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 591 Examples

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

Problem 1

There are 3 students and 591 pages in a book. How will they divide it equally among themselves?

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

They will get 197 pages each.

Explanation

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

 

591/3 = 197

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

Problem 2

A painting is rectangular, the length of the painting is 3 meters, and the total area is 591 square meters. Find the width.

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

197 meters.

Explanation

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

 

Area = length × width

 

591 = 3 × width

 

To find the value of the width, we need to shift 3 to the left side.

 

591/3 = width

 

Width = 197.

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

Problem 3

There are 197 containers and 591 marbles. How many marbles will be in each container?

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

Each container will have 3 marbles.

Explanation

To find the marbles in each container, divide the total marbles by the number of containers.

 

591/197 = 3

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

Problem 4

In a class, there are 591 students, and they form 3 groups. How many students are there in each group?

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

There are 197 students in each group.

Explanation

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

 

591/3 = 197

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

Problem 5

591 books need to be arranged in 3 shelves. How many books will go on each shelf?

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

Each of the shelves has 197 books.

Explanation

Divide total books by shelves.

 

591/3 = 197

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

FAQs on Factors of 591

1.What are the factors of 591?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 591.

Math FAQ Answers Dropdown Arrow

3.Is 591 a multiple of 3?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 591?

Math FAQ Answers Dropdown Arrow

5.What is the square of 591?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 591

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 591 are 1, 3, 197, and 591.

     
  • Prime factors: The factors which are prime numbers. For example, 3 and 197 are prime factors of 591.

     
  • 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 591 are (1, 591) and (3, 197).

     
  • Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 591 is 3 × 197.

     
  • Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using 3 × 197 = 591 to determine the factors of 591.
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