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

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 259

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

Factors of 259 for Qatari Students
Professor Greenline from BrightChamps

What are the Factors of 259?

The numbers that divide 259 evenly are known as factors of 259.

 

A factor of 259 is a number that divides the number without remainder.

 

The factors of 259 are 1, 7, 37, and 259.

 

Negative factors of 259: -1, -7, -37, and -259.

 

Prime factors of 259: 7 and 37.

 

Prime factorization of 259: 7 × 37.

 

The sum of factors of 259: 1 + 7 + 37 + 259 = 304

Professor Greenline from BrightChamps

How to Find Factors of 259?

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 259. Identifying the numbers which are multiplied to get the number 259 is the multiplication method.

 

Step 1: Multiply 259 by 1, 259 × 1 = 259.

 

Step 2: Check for other numbers that give 259 after multiplying  

 

   7 × 37 = 259

 

Therefore, the positive factor pairs of 259 are: (1, 259) and (7, 37). All these factor pairs result in 259. 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 259 by 1, 259 ÷ 1 = 259.

 

Step 2: Continue dividing 259 by the numbers until the remainder becomes 0.

 

259 ÷ 1 = 259

259 ÷ 7 = 37

259 ÷ 37 = 7

 

Therefore, the factors of 259 are: 1, 7, 37, 259.

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

 

259 ÷ 7 = 37

37 ÷ 37 = 1

 

The prime factors of 259 are 7 and 37.

 

The prime factorization of 259 is: 7 × 37.

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, 259 is divided by 7 to get 37

 

Step 2: Now divide 37 by 37 to get 1. Here, 37 is a prime number and cannot be divided anymore

 

So, the prime factorization of 259 is: 7 × 37.

 

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 259: (1, 259), (7, 37).

 

Negative factor pairs of 259: (-1, -259), (-7, -37).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 259

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 259, 1 and 259 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 259 Examples

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

Problem 1

A group of 37 tourists wants to visit 259 locations. How many locations will each tourist visit if divided equally?

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

Each tourist will visit 7 locations.

Explanation

To divide the locations equally, we need to divide the total locations with the number of tourists.

 

259/37 = 7

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

Problem 2

An event has 259 participants, and the organizers want to form groups of 7. How many groups can be formed?

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

37 groups.

Explanation

To find the number of groups, we divide the total participants by the group size.

 

259/7 = 37

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

Problem 3

A library has 259 books and 7 shelves. How many books will be on each shelf?

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

Each shelf will have 37 books.

Explanation

To find the number of books on each shelf, divide the total books by the number of shelves.

 

259/7 = 37

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

Problem 4

A farm has 259 apple trees and wants to plant them in 37 rows. How many apple trees will be in each row?

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

There will be 7 apple trees in each row.

Explanation

Divide the total number of apple trees by the number of rows to get the number of trees per row.

 

259/37 = 7

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

Problem 5

A teacher wants to divide 259 pencils among 7 students equally. How many pencils will each student get?

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

Each student will get 37 pencils.

Explanation

Divide the total number of pencils by the number of students.

 

259/7 = 37

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

FAQs on Factors of 259

1.What are the factors of 259?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 259.

Math FAQ Answers Dropdown Arrow

3.Is 259 a multiple of 7?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 259?

Math FAQ Answers Dropdown Arrow

5.What is the square of 259?

Math FAQ Answers Dropdown Arrow

6.How can children in Qatar use numbers in everyday life to understand Factors of 259?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in Qatar can practice Factors of 259 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 259 play in helping children in Qatar develop problem-solving skills?

Math FAQ Answers Dropdown Arrow

9.How can families in Qatar create number-rich environments to improve Factors of 259 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factors of 259

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 259 are 1, 7, 37, and 259.

     
  • Prime factors: The factors which are prime numbers. For example, 7 and 37 are prime factors of 259.

     
  • 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 259 are (1, 259) and (7, 37).

     
  • Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 259 is 7 × 37.

     
  • Multiples: The product of a number and an integer. For example, 259 is a multiple of 7.
Professor Greenline from BrightChamps

About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 259 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting 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