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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 5929

Professor Greenline Explaining Math Concepts

Factors are the numbers that divide a 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 5929, how they are used in real life, and tips to learn them quickly.

Factors of 5929 for Bahraini Students
Professor Greenline from BrightChamps

What are the Factors of 5929?

The numbers that divide 5929 evenly are known as factors of 5929.

 

A factor of 5929 is a number that divides the number without remainder.

 

The factors of 5929 are 1, 7, 37, 49, 259, 343, 2023, and 5929.

 

Negative factors of 5929: -1, -7, -37, -49, -259, -343, -2023, and -5929.

 

Prime factors of 5929: 7 and 37.

 

Prime factorization of 5929: 72 × 372.

 

The sum of factors of 5929: 1 + 7 + 37 + 49 + 259 + 343 + 2023 + 5929 = 8648

Professor Greenline from BrightChamps

How to Find Factors of 5929?

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 5929. Identifying the numbers which are multiplied to get the number 5929 is the multiplication method.

 

Step 1: Multiply 5929 by 1, 5929 × 1 = 5929.

 

Step 2: Check for other numbers that give 5929 after multiplying

 

7 × 847 = 5929

37 × 161 = 5929

49 × 121 = 5929

 

Therefore, the positive factor pairs of 5929 are: (1, 5929), (7, 847), (37, 161), (49, 121).

 

All these factor pairs result in 5929.

 

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 a simple division method

 

Step 1: Divide 5929 by 1, 5929 ÷ 1 = 5929.

 

Step 2: Continue dividing 5929 by the numbers until the remainder becomes 0.

 

5929 ÷ 1 = 5929

5929 ÷ 7 = 847

5929 ÷ 37 = 161

5929 ÷ 49 = 121

 

Therefore, the factors of 5929 are: 1, 7, 37, 49, 259, 343, 2023, 5929.

Professor Greenline from BrightChamps

Prime Factors and Prime Factorization

Factors can be found by dividing 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 5929 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

5929 ÷ 7 = 847

847 ÷ 7 = 121

121 ÷ 11 = 11

11 ÷ 11 = 1

 

The prime factors of 5929 are 7 and 37.

 

The prime factorization of 5929 is: 72 × 372.

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, 5929 is divided by 7 to get 847.

 

Step 2: Now divide 847 by 7 to get 121. Step 3: Then divide 121 by 11 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 5929 is: 72 × 372.

 

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 5929: (1, 5929), (7, 847), (37, 161), (49, 121).

 

Negative factor pairs of 5929: (-1, -5929), (-7, -847), (-37, -161), (-49, -121).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 5929

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 5929, 1 and 5929 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 5929 Examples

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

Problem 1

There are 37 students and 5929 candies. How will they divide it equally?

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

They will get 160 candies each.

Explanation

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

 

5929/37 = 160

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

Problem 2

A garden is square-shaped, and the area is 5929 square meters. Find the length of one side?

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

77 meters.

Explanation

To find the side of the square, we use the formula,

 

Area = side × side

 

Side = √5929

 

Side = 77

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

Problem 3

There are 49 packages and 5929 widgets. How many widgets will be in each package?

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

Each package will have 121 widgets.

Explanation

To find the widgets in each package, divide the total widgets by the number of packages.

 

5929/49 = 121

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

Problem 4

In a tournament, there are 7 teams, and 5929 points. How many points are there for each team?

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

There are 847 points for each team.

Explanation

Dividing the points by the total teams, we will get the number of points for each team.

 

5929/7 = 847

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

Problem 5

5929 books need to be arranged in 11 shelves. How many books will go on each shelf?

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

Each of the shelves has 539 books.

Explanation

Divide total books by shelves.

 

5929/11 = 539

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

FAQs on Factors of 5929

1.What are the factors of 5929?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 5929.

Math FAQ Answers Dropdown Arrow

3.Is 5929 a multiple of 7?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 5929?

Math FAQ Answers Dropdown Arrow

5.What is the square root of 5929?

Math FAQ Answers Dropdown Arrow

6.How can children in Bahrain use numbers in everyday life to understand Factors of 5929?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Bahrain can practice Factors of 5929 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 5929 play in helping children in Bahrain develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Bahrain create number-rich environments to improve Factors of 5929 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 5929

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5929 are 1, 7, 37, 49, 259, 343, 2023, and 5929.
     
  • Prime factors: The factors which are prime numbers. For example, 7 and 37 are prime factors of 5929.
     
  • 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 5929 are (1, 5929), (7, 847), etc.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, 72 × 372 for 5929.
     
  • Square root: A number that produces a specified quantity when multiplied by itself. For example, the square root of 5929 is 77.
Professor Greenline from BrightChamps

About BrightChamps in Bahrain

At BrightChamps, numbers are more than just digits—they unlock countless opportunities! Our goal is to help kids all over Bahrain build essential math skills, focusing today on Factors of 5929 with a special focus on factors—in a lively, fun, and easy-to-follow way. Whether your child is calculating the speed of a roller coaster at Wahooo! Waterpark, keeping track of local football scores, or managing their allowance for gadgets, mastering numbers boosts everyday confidence. Our interactive lessons make learning simple and enjoyable. Since kids in Bahrain learn in various ways, we adapt lessons to fit each learner. From Manama’s lively city to peaceful beaches, BrightChamps brings math to life all over Bahrain. Let’s make factors a fun 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