102 LearnersLast updated on May 26th, 2025
Factors of 1131
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 1131, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1131?
The numbers that divide 1131 evenly are known as factors of 1131.
A factor of 1131 is a number that divides the number without a remainder.
The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, and 1131.
Negative factors of 1131: -1, -3, -13, -29, -39, -87, -377, and -1131.
Prime factors of 1131: 3, 13, and 29.
Prime factorization of 1131: 3 × 13 × 29.
The sum of factors of 1131: 1 + 3 + 13 + 29 + 39 + 87 + 377 + 1131 = 1680
How to Find Factors of 1131?
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 1131. Identifying the numbers which are multiplied to get the number 1131 is the multiplication method.
Step 1: Multiply 1131 by 1, 1131 × 1 = 1131.
Step 2: Check for other numbers that give 1131 after multiplying
3 × 377 = 1131
13 × 87 = 1131
29 × 39 = 1131
Therefore, the positive factor pairs of 1131 are: (1, 1131), (3, 377), (13, 87), (29, 39).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 1131 by 1, 1131 ÷ 1 = 1131.
Step 2: Continue dividing 1131 by the numbers until the remainder becomes 0.
1131 ÷ 1 = 1131
1131 ÷ 3 = 377
1131 ÷ 13 = 87
1131 ÷ 29 = 39
Therefore, the factors of 1131 are: 1, 3, 13, 29, 39, 87, 377, 1131.
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 1131 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1131 ÷ 3 = 377
377 ÷ 13 = 29
29 ÷ 29 = 1
The prime factors of 1131 are 3, 13, and 29.
The prime factorization of 1131 is: 3 × 13 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1131 is divided by 3 to get 377.
Step 2: Now divide 377 by 13 to get 29.
Step 3: Here, 29 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1131 is: 3 × 13 × 29.
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 1131: (1, 1131), (3, 377), (13, 87), and (29, 39).
Negative factor pairs of 1131: (-1, -1131), (-3, -377), (-13, -87), and (-29, -39).
Common Mistakes and How to Avoid Them in Factors of 1131
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 number. Always remember to include 1 and the number itself.
For example, in factors of 1131, 1 and 1131 are also factors.
Factors of 1131 Examples
Problem 1
A farmer has 1131 apples and wants to distribute them equally among 3 of his neighbors. How many apples will each neighbor receive?
Each neighbor will receive 377 apples.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of neighbors.
1131/3 = 377
Problem 2
A rectangular garden has a length of 13 meters and a total area of 1131 square meters. What is the width of the garden?
87 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1131 = 13 × width
To find the value of width, divide 1131 by 13.
1131/13 = width
Width = 87.
Problem 3
There are 1131 marbles to be divided equally among 29 bags. How many marbles will be in each bag?
Each bag will have 39 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the number of bags.
1131/29 = 39
Problem 4
A teacher has 1131 worksheets and wants to distribute them equally among 39 students. How many worksheets will each student receive?
Each student will receive 29 worksheets.
Explanation
Dividing the worksheets by the number of students, we will get the number of worksheets each student receives.
1131/39 = 29
Problem 5
An event planner has 1131 chairs and wants to arrange them in 13 rows. How many chairs will be in each row?
Each row will have 87 chairs.
Explanation
Divide the total chairs by the number of rows.
1131/13 = 87
FAQs on Factors of 1131
1.What are the factors of 1131?
2.Mention the prime factors of 1131.
3.Is 1131 a multiple of 13?
4.Mention the factor pairs of 1131.
5.What is the square of 1131?
Important Glossaries for Factors of 1131
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1131 are 1, 3, 13, 29, 39, 87, 377, and 1131.
- Prime factors: The factors which are prime numbers. For example, 3, 13, and 29 are prime factors of 1131.
- 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 1131 are (1, 1131), (3, 377), etc.
- Prime factorization: A method of expressing a number as a product of its prime numbers. For example, the prime factorization of 1131 is 3 × 13 × 29.
- Negative factors: Factors that are negative counterparts of the positive factors. For example, for 1131, they include -1, -3, -13, etc.
Explore More numbers
Previous to Factors of 1131
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.
