Factors of 1431
2026-02-28 10:55 Diff

227 Learners

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 items equally, arranging things, etc. In this topic, we will learn about the factors of 1431, how they are used in real life, and tips to learn them quickly.

What are the Factors of 1431?

The numbers that divide 1431 evenly are known as factors of 1431.

A factor of 1431 is a number that divides the number without remainder.

The factors of 1431 are 1, 3, 11, 13, 33, 39, 143, 429, and 1431.

Negative factors of 1431: -1, -3, -11, -13, -33, -39, -143, -429, and -1431.

Prime factors of 1431: 3, 11, and 13.

Prime factorization of 1431: 3 × 11 × 13.

The sum of factors of 1431: 1 + 3 + 11 + 13 + 33 + 39 + 143 + 429 + 1431 = 2103

How to Find Factors of 1431?

Factors can be found using different methods. Mentioned below are some commonly used methods:

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1431. Identifying the numbers which are multiplied to get the number 1431 is the multiplication method.

Step 1: Multiply 1431 by 1, 1431 × 1 = 1431.

Step 2: Check for other numbers that give 1431 after multiplying

3 × 477 = 1431

11 × 130 = 1431

13 × 110 = 1431

33 × 39 = 1431

Therefore, the positive factor pairs of 1431 are: (1, 1431), (3, 477), (11, 130), (13, 110), (33, 39).

For every positive factor, there is a negative factor.

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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 1431 by 1, 1431 ÷ 1 = 1431.

Step 2: Continue dividing 1431 by the numbers until the remainder becomes 0.

1431 ÷ 1 = 1431

1431 ÷ 3 = 477

1431 ÷ 11 = 130

1431 ÷ 13 = 110

1431 ÷ 33 = 39

Therefore, the factors of 1431 are: 1, 3, 11, 13, 33, 39, 143, 429, 1431.

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 1431 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

1431 ÷ 3 = 477

477 ÷ 3 = 159

159 ÷ 3 = 53

53 ÷ 53 = 1

The prime factors of 1431 are 3, 11, and 13.

The prime factorization of 1431 is: 3 × 11 × 13.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -

Step 1: Firstly, 1431 is divided by 3 to get 477.

Step 2: Now divide 477 by 3 to get 159.

Step 3: Then divide 159 by 3 to get 53.

Step 4: 53 is a prime number and cannot be divided further.

So, the prime factorization of 1431 is: 3 × 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 1431: (1, 1431), (3, 477), (11, 130), (13, 110), and (33, 39).

Negative factor pairs of 1431: (-1, -1431), (-3, -477), (-11, -130), (-13, -110), and (-33, -39).

Common Mistakes and How to Avoid Them in Factors of 1431

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 3 teachers and 1431 students. How will they divide the students equally?

Okay, lets begin

They will have 477 students each.

Explanation

To divide the students equally, we need to divide the total students with the number of teachers.

1431/3 = 477

Well explained 👍

Problem 2

A field is rectangular, the length of the field is 11 meters and the total area is 1431 square meters. Find the width?

Okay, lets begin

130 meters.

Explanation

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

Area = length × width

1431 = 11 × width

To find the value of width, we need to shift 11 to the left side.

1431/11 = width

Width = 130.

Well explained 👍

Problem 3

There are 13 boxes and 1431 candies. How many candies will be in each box?

Okay, lets begin

Each box will have 110 candies.

Explanation

To find the candies in each box, divide the total candies with the boxes.

1431/13 = 110

Well explained 👍

Problem 4

In a seminar, there are 1431 participants, and 39 sessions. How many participants are there in each session?

Okay, lets begin

There are 33 participants in each session.

Explanation

Dividing the participants with the total sessions, we will get the number of participants in each session.

1431/39 = 33

Well explained 👍

Problem 5

1431 books need to be arranged in 11 shelves. How many books will go on each shelf?

Okay, lets begin

Each of the shelves has 130 books.

Explanation

Divide total books with shelves.

1431/11 = 130

Well explained 👍

FAQs on Factors of 1431

1.What are the factors of 1431?

1, 3, 11, 13, 33, 39, 143, 429, 1431 are the factors of 1431.

2.Mention the prime factors of 1431.

The prime factors of 1431 are 3 × 11 × 13.

3.Is 1431 a multiple of 11?

4.Mention the factor pairs of 1431?

(1, 1431), (3, 477), (11, 130), (13, 110), and (33, 39) are the factor pairs of 1431.

5.What is the square of 1431?

The square of 1431 is 2047761.

Important Glossaries for Factor of 1431

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1431 are 1, 3, 11, 13, 33, 39, 143, 429, and 1431.
     
  • Prime factors: The factors which are prime numbers. For example, 3, 11, and 13 are prime factors of 1431.
     
  • 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 1431 are (1, 1431), (3, 477), etc.
     
  • Prime factorization: The expression of a number as the product of its prime factors. For 1431, it is 3 × 11 × 13.
     
  • Multiple: A number that can be divided by another number without leaving a remainder. For example, 1431 is a multiple of 11.

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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.