Factors of 1426
2026-02-28 10:54 Diff
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Last updated on December 12, 2025

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.

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

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

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.

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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.

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: 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.

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).

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.

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Problem 1

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

Okay, lets 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

Well explained 👍

Problem 2

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

Okay, lets 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

Well explained 👍

Problem 3

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

Okay, lets 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

Well explained 👍

Problem 4

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

Okay, lets 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

Well explained 👍

Problem 5

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

Okay, lets begin

Each of the shelves has 62 books.

Explanation

Divide total books by the number of shelves.

1426/23 = 62

Well explained 👍

FAQs on Factors of 1426

1.What are the factors of 1426?

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

2.Mention the prime factors of 1426.

The prime factors of 1426 are 2 × 23 × 31.

3.Is 1426 a multiple of 23?

4.Mention the factor pairs of 1426?

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

5.What is the square of 1426?

The square of 1426 is 2032676.

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.

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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.

Fun Fact

: She loves to read number jokes and games.