100 LearnersLast updated on May 26th, 2025
Factors of 1137
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 1137, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1137?
The numbers that divide 1137 evenly are known as factors of 1137.
A factor of 1137 is a number that divides the number without remainder.
The factors of 1137 are 1, 3, 379, and 1137.
Negative factors of 1137: -1, -3, -379, and -1137.
Prime factors of 1137: 3 and 379.
Prime factorization of 1137: 3 × 379.
The sum of factors of 1137: 1 + 3 + 379 + 1137 = 1520
How to Find Factors of 1137?
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 1137. Identifying the numbers which are multiplied to get the number 1137 is the multiplication method.
Step 1: Multiply 1137 by 1, 1137 × 1 = 1137.
Step 2: Check for other numbers that give 1137 after multiplying 3 × 379 = 1137
Therefore, the positive factor pairs of 1137 are: (1, 1137) and (3, 379).
All these factor pairs result in 1137.
For every positive factor, there is a negative factor.
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 the simple division method
Step 1: Divide 1137 by 1, 1137 ÷ 1 = 1137.
Step 2: Continue dividing 1137 by the numbers until the remainder becomes 0.
1137 ÷ 1 = 1137
1137 ÷ 3 = 379
Therefore, the factors of 1137 are: 1, 3, 379, 1137.
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 1137 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1137 ÷ 3 = 379
379 ÷ 379 = 1
The prime factors of 1137 are 3 and 379.
The prime factorization of 1137 is: 3 × 379.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1137 is divided by 3 to get 379.
Step 2: Now divide 379 by 379 to get 1. Here, 379 is a prime number, and cannot be divided anymore.
So, the prime factorization of 1137 is: 3 × 379.
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 1137: (1, 1137) and (3, 379).
Negative factor pairs of 1137: (-1, -1137) and (-3, -379).
Common Mistakes and How to Avoid Them in Factors of 1137
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 1137, 1 and 1137 are also factors.
Factors of 1137 Examples
Problem 1
There are 3 teams and 1137 points. How will they distribute the points evenly?
Each team will get 379 points.
Explanation
To distribute the points evenly, we need to divide the total points by the number of teams.
1137/3 = 379
Problem 2
A banner is rectangular, the width of the banner is 3 meters and the total area is 1137 square meters. Find the length.
379 meters.
Explanation
To find the length of the banner, we use the formula, Area = length × width 1137 = 3 × length
To find the value of the length, we need to shift 3 to the left side.
1137/3 = length
Length = 379.
Problem 3
There are 1137 tiles and 3 rooms. How many tiles will be in each room?
Each room will have 379 tiles.
Explanation
To find the tiles in each room, divide the total tiles by the number of rooms.
1137/3 = 379
Problem 4
In a tournament, there are 1137 participants and 3 groups. How many participants are in each group?
There are 379 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
1137/3 = 379
Problem 5
1137 books need to be sorted into 3 categories. How many books will go into each category?
Each category will have 379 books.
Explanation
Divide total books by categories.
1137/3 = 379
FAQs on Factors of 1137
1.What are the factors of 1137?
2.Mention the prime factors of 1137.
3.Is 1137 a multiple of 3?
4.Mention the factor pairs of 1137?
5.What is the square of 1137?
Important Glossaries for Factors of 1137
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1137 are 1, 3, 379, and 1137.
- Prime factors: The factors which are prime numbers. For example, 3 and 379 are prime factors of 1137.
- 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 1137 are (1, 1137) and (3, 379).
- Prime factorization: The process of expressing a number as a product of prime numbers. For instance, the prime factorization of 1137 is 3 × 379.
- Multiplication method: This method involves finding two numbers that can be multiplied to give a specific number. For example, using multiplication to find factors of 1137 like (3, 379). ```
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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.
