100 LearnersLast updated on May 26th, 2025
Factors of 1135
Factors are the numbers that divide any given number evenly without a 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 1135, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1135?
The numbers that divide 1135 evenly are known as factors of 1135.
A factor of 1135 is a number that divides the number without a remainder.
The factors of 1135 are 1, 5, 227, and 1135.
Negative factors of 1135: -1, -5, -227, and -1135.
Prime factors of 1135: 5 and 227.
Prime factorization of 1135: 5 × 227.
The sum of factors of 1135: 1 + 5 + 227 + 1135 = 1368
How to Find Factors of 1135?
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 1135. Identifying the numbers which are multiplied to get the number 1135 is the multiplication method.
Step 1: Multiply 1135 by 1, 1135 × 1 = 1135.
Step 2: Check for other numbers that give 1135 after multiplying 5 × 227 = 1135
Therefore, the positive factor pairs of 1135 are: (1, 1135) and (5, 227).
All these factor pairs result in 1135.
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 a simple division method
Step 1: Divide 1135 by 1, 1135 ÷ 1 = 1135.
Step 2: Continue dividing 1135 by the numbers until the remainder becomes 0.
1135 ÷ 1 = 1135
1135 ÷ 5 = 227
Therefore, the factors of 1135 are: 1, 5, 227, and 1135.
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 1135 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1135 ÷ 5 = 227
227 ÷ 227 = 1
The prime factors of 1135 are 5 and 227.
The prime factorization of 1135 is: 5 × 227.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1135 is divided by 5 to get 227.
Step 2: Now divide 227 by 227 to get 1. Here, 227 is a prime number that cannot be divided anymore.
So, the prime factorization of 1135 is: 5 × 227.
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 1135: (1, 1135) and (5, 227).
Negative factor pairs of 1135: (-1, -1135) and (-5, -227).
Common Mistakes and How to Avoid Them in Factors of 1135
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 1135, 1 and 1135 are also factors.
Factors of 1135 Examples
Problem 1
There are 5 teams and 1135 points. How will they distribute the points equally?
Each team will get 227 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1135/5 = 227
Problem 2
A conference room is rectangular, the width of the room is 5 meters and the total area is 1135 square meters. Find the length.
The length is 227 meters.
Explanation
To find the length of the room, we use the formula, Area = length × width 1135 = length × 5
To find the value of length, we need to shift 5 to the left side.
1135/5 = length
Length = 227.
Problem 3
There are 227 chairs and 1135 people. How many people will sit on each chair?
Each chair will have 5 people.
Explanation
To find the number of people per chair, divide the total number of people by the number of chairs.
1135/227 = 5
Problem 4
There are 5 boxes and 1135 items. How many items are in each box?
Each box will have 227 items.
Explanation
Dividing the items with the total boxes, we will get the number of items in each box.
1135/5 = 227
Problem 5
1135 students need to be seated in 1135 chairs. How many students will sit in each chair?
Each chair will have 1 student.
Explanation
Divide total students by the total chairs.
1135/1135 = 1
FAQs on Factors of 1135
1.What are the factors of 1135?
2.Mention the prime factors of 1135.
3.Is 1135, a multiple of 5?
4.Mention the factor pairs of 1135?
5.What is the square of 1135?
Important Glossaries for Factors of 1135
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1135 are 1, 5, 227, and 1135.
- Prime factors: The factors which are prime numbers. For example, 5 and 227 are prime factors of 1135.
- 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 1135 are (1, 1135) and (5, 227).
- Prime factorization: Breaking down a number into its basic prime factors. For example, the prime factorization of 1135 is 5 × 227.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to a given number. For example, using the multiplication method to find that 5 × 227 = 1135.
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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.
