BrightChamps Logo
Hamburger Menu Icon for BrightChamps Website Navigation
Login
Creative Math Ideas Image
Live Math Learners Count Icon101 Learners

Last updated on May 26th, 2025

Math Whiteboard Illustration

Factors of 1426

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 1426, how they are used in real life, and the tips to learn them quickly.

Factors of 1426 for UK Students
Professor Greenline from BrightChamps

What are the Factors of 1426?

The numbers that divide 1426 evenly are known as factors of 1426.

 

A factor of 1426 is a number that divides the number without remainder.

 

The factors of 1426 are 1, 2, 23, 31, 46, 62, 713, and 1426.

 

Negative factors of 1426: -1, -2, -23, -31, -46, -62, -713, and -1426.

 

Prime factors of 1426: 2, 23, and 31.

 

Prime factorization of 1426: 2 × 23 × 31.

 

The sum of factors of 1426: 1 + 2 + 23 + 31 + 46 + 62 + 713 + 1426 = 2304

factors of 1426

Professor Greenline from BrightChamps

How to Find Factors of 1426?

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 1426. Identifying the numbers which are multiplied to get the number 1426 is the multiplication method.

 

Step 1: Multiply 1426 by 1, 1426 × 1 = 1426.

 

Step 2: Check for other numbers that give 1426 after multiplying

2 × 713 = 1426

23 × 62 = 1426

31 × 46 = 1426

 

Therefore, the positive factor pairs of 1426 are: (1, 1426), (2, 713), (23, 62), (31, 46).

 

All these factor pairs result in 1426.

 

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 1426 by 1, 1426 ÷ 1 = 1426.

 

Step 2: Continue dividing 1426 by the numbers until the remainder becomes 0.

1426 ÷ 1 = 1426

1426 ÷ 2 = 713

1426 ÷ 23 = 62

1426 ÷ 31 = 46

 

Therefore, the factors of 1426 are: 1, 2, 23, 31, 46, 62, 713, and 1426.

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 1426 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1426 ÷ 2 = 713

713 ÷ 23 = 31

31 ÷ 31 = 1

 

The prime factors of 1426 are 2, 23, and 31.

 

The prime factorization of 1426 is: 2 × 23 × 31.

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, 1426 is divided by 2 to get 713.

 

Step 2: Now divide 713 by 23 to get 31.

 

Step 3: Here, 31 is the smallest prime number, that cannot be divided anymore.

 

So, the prime factorization of 1426 is: 2 × 23 × 31.

 

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 1426: (1, 1426), (2, 713), (23, 62), and (31, 46).

 

Negative factor pairs of 1426: (-1, -1426), (-2, -713), (-23, -62), and (-31, -46).

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in Factors of 1426

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 1426, 1 and 1426 are also factors.

Max from BrightChamps Saying "Hey"

Factors of 1426 Examples

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

Problem 1

There are 31 team members and 713 apples. How will they divide the apples equally?

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

They will get 23 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of team members.

713/31 = 23

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

Problem 2

A school auditorium has 46 rows, and the total seating capacity is 1426 seats. Find the number of seats per row.

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

31 seats per row.

Explanation

To find the number of seats per row, we use the formula,

Total seats = rows × seats per row

1426 = 46 × seats per row

To find the value of seats per row, we need to divide 1426 by 46.

1426/46 = seats per row

Seats per row = 31

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

Problem 3

There are 2 baskets and 1426 oranges. How many oranges will be in each basket?

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

Each basket will have 713 oranges.

Explanation

To find the oranges in each basket, divide the total oranges by the number of baskets.

1426/2 = 713

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

Problem 4

In a sports event, there are 62 teams, and 1426 participants. How many participants are there in each team?

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

There are 23 participants in each team.

Explanation

Dividing the participants by the total number of teams, we will get the number of participants in each team.

1426/62 = 23

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

Problem 5

1426 books need to be arranged in 23 shelves. How many books will go on each shelf?

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

Each of the shelves has 62 books.

Explanation

Divide total books by the number of shelves.

1426/23 = 62

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

FAQs on Factors of 1426

1.What are the factors of 1426?

Math FAQ Answers Dropdown Arrow

2.Mention the prime factors of 1426.

Math FAQ Answers Dropdown Arrow

3.Is 1426 a multiple of 23?

Math FAQ Answers Dropdown Arrow

4.Mention the factor pairs of 1426?

Math FAQ Answers Dropdown Arrow

5.What is the square of 1426?

Math FAQ Answers Dropdown Arrow

6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1426?

Math FAQ Answers Dropdown Arrow

7.What are some fun ways kids in United Kingdom can practice Factors of 1426 with numbers?

Math FAQ Answers Dropdown Arrow

8.What role do numbers and Factors of 1426 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 1426 skills?

Math FAQ Answers Dropdown Arrow
Professor Greenline from BrightChamps

Important Glossaries for Factor of 1426

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1426 are 1, 2, 23, 31, 46, 62, 713, and 1426.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 23, and 31 are prime factors of 1426.

 

  • 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 1426 are (1, 1426), (2, 713), etc.

 

  • Prime Factorization: Breaking down a number into its prime factors. For example, the prime factorization of 1426 is 2 × 23 × 31.

 

  • Multiplication Method: The process of finding factors by identifying pairs of numbers multiplied to give the original number. For example, using this method to find pairs like (31, 46) for 1426.
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 1426 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