100 LearnersLast updated on May 26th, 2025
Factors of 1431
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
- Finding factors using the 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 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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 is a factor
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 1431, 1 and 1431 is also a factor.
Factors of 1431 Examples
Problem 1
There are 3 teachers and 1431 students. How will they divide the students equally?
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
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?
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.
Problem 3
There are 13 boxes and 1431 candies. How many candies will be in each box?
Each box will have 110 candies.
Explanation
To find the candies in each box, divide the total candies with the boxes.
1431/13 = 110
Problem 4
In a seminar, there are 1431 participants, and 39 sessions. How many participants are there in each session?
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
Problem 5
1431 books need to be arranged in 11 shelves. How many books will go on each shelf?
Each of the shelves has 130 books.
Explanation
Divide total books with shelves.
1431/11 = 130
FAQs on Factors of 1431
1.What are the factors of 1431?
2.Mention the prime factors of 1431.
3.Is 1431 a multiple of 11?
4.Mention the factor pairs of 1431?
5.What is the square of 1431?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 1431?
7.What are some fun ways kids in United Kingdom can practice Factors of 1431 with numbers?
8.What role do numbers and Factors of 1431 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 1431 skills?
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
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