BrightChamps Logo
Login
Creative Math Ideas Image
Live Math Learners Count Icon104 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 5005

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 5005, how they are used in real life, and tips to learn them quickly.

Factors of 5005 for UK Students
Professor Greenline from BrightChamps

What are the Factors of 5005?

The numbers that divide 5005 evenly are known as factors of 5005.

 

A factor of 5005 is a number that divides the number without remainder.

 

The factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 5005.

 

Negative factors of 5005: -1, -5, -7, -11, -13, -35, -55, -65, -77, -91, -143, -385, -5005.

 

Prime factors of 5005: 5, 7, 11, and 13.

 

Prime factorization of 5005: 5 × 7 × 11 × 13.

 

The sum of factors of 5005: 1 + 5 + 7 + 11 + 13 + 35 + 55 + 65 + 77 + 91 + 143 + 385 + 5005 = 5989

Professor Greenline from BrightChamps

How to Find Factors of 5005?

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 5005. Identifying the numbers which are multiplied to get the number 5005 is the multiplication method.

 

Step 1: Multiply 5005 by 1, 5005 × 1 = 5005.

 

Step 2: Check for other numbers that give 5005 after multiplying

 

5 × 1001 = 5005

7 × 715 = 5005

11 × 455 = 5005

13 × 385 = 5005

35 × 143 = 5005

55 × 91 = 5005

65 × 77 = 5005

 

Therefore, the positive factor pairs of 5005 are: (1, 5005), (5, 1001), (7, 715), (11, 455), (13, 385), (35, 143), (55, 91), (65, 77).

 

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 the simple division method

 

Step 1: Divide 5005 by 1, 5005 ÷ 1 = 5005.

 

Step 2: Continue dividing 5005 by the numbers until the remainder becomes 0.

 

5005 ÷ 1 = 5005

5005 ÷ 5 = 1001

5005 ÷ 7 = 715

5005 ÷ 11 = 455

5005 ÷ 13 = 385

5005 ÷ 35 = 143

5005 ÷ 55 = 91

5005 ÷ 65 = 77

 

Therefore, the factors of 5005 are: 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, 5005.

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 5005 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

5005 ÷ 5 = 1001

1001 ÷ 7 = 143

143 ÷ 11 = 13

13 ÷ 13 = 1

 

The prime factors of 5005 are 5, 7, 11, and 13.

 

The prime factorization of 5005 is: 5 × 7 × 11 × 13.

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, 5005 is divided by 5 to get 1001.

 

Step 2: Now divide 1001 by 7 to get 143. Step 3: Then divide 143 by 11 to get 13. Here, 13 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 5005 is: 5 × 7 × 11 × 13.

 

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 5005: (1, 5005), (5, 1001), (7, 715), (11, 455), (13, 385), (35, 143), (55, 91), (65, 77).

 

Negative factor pairs of 5005: (-1, -5005), (-5, -1001), (-7, -715), (-11, -455), (-13, -385), (-35, -143), (-55, -91), (-65, -77).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 5005

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 word. Always remember to include 1 and the number itself.

 

For example, in factors of 5005, 1 and 5005 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 5005 Examples

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

Problem 1

A teacher has 5005 pencils and wants to distribute them equally among 5 classes. How many pencils will each class receive?

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

Each class will receive 1001 pencils.

Explanation

To distribute the pencils equally, we need to divide the total pencils by the number of classes.

 

5005 ÷ 5 = 1001

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

Problem 2

A garden is rectangular, the length of the garden is 77 meters, and the total area is 5005 square meters. Find the width.

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

The width is 65 meters.

Explanation

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

 

Area = length × width

 

5005 = 77 × width

 

To find the value of width, we need to shift 77 to the left side.

 

5005 ÷ 77 = width

 

Width = 65

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

Problem 3

There are 143 students and 5005 candies. How many candies will each student get if divided equally?

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

Each student will get 35 candies.

Explanation

To find the candies each student gets, divide the total candies by the students.

 

5005 ÷ 143 = 35

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

Problem 4

A company has 5005 units of product and needs to pack them into 385 boxes. How many units will each box contain?

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

Each box will contain 13 units.

Explanation

Dividing the units by the total boxes gives the number of units per box.

 

5005 ÷ 385 = 13

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

Problem 5

5005 seats need to be arranged in 11 sections in a theater. How many seats will go in each section?

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

Each section will have 455 seats.

Explanation

Divide the total seats by the sections.

 

5005 ÷ 11 = 455

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

FAQs on Factors of 5005

1.What are the factors of 5005?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 5005.

Math FAQ Answers Dropdown Arrow

3.Is 5005 a multiple of 11?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 5005.

Math FAQ Answers Dropdown Arrow

5.What is the square of 5005?

Math FAQ Answers Dropdown Arrow

6.How can children in United Kingdom use numbers in everyday life to understand Factors of 5005?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United Kingdom can practice Factors of 5005 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 5005 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 5005 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 5005

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 5005 are 1, 5, 7, 11, 13, 35, 55, 65, 77, 91, 143, 385, and 5005.
     
  • Prime factors: The factors which are prime numbers. For example, 5, 7, 11, and 13 are prime factors of 5005.
     
  • 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 5005 are (1, 5005), (5, 1001), etc.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 5005 is 5 × 7 × 11 × 13.
     
  • Multiplication method: A technique used to find factors by identifying pairs of numbers that multiply to give the original number. For example, 5 × 1001 = 5005 is a factor pair of 5005.
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 5005 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