100 LearnersLast updated on May 26th, 2025
Factors of 1130
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 1130, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1130?
The numbers that divide 1130 evenly are known as factors of 1130.
A factor of 1130 is a number that divides the number without a remainder.
The factors of 1130 are 1, 2, 5, 10, 113, 226, 565, and 1130.
Negative factors of 1130: -1, -2, -5, -10, -113, -226, -565, and -1130.
Prime factors of 1130: 2, 5, and 113.
Prime factorization of 1130: 2 × 5 × 113.
The sum of factors of 1130: 1 + 2 + 5 + 10 + 113 + 226 + 565 + 1130 = 2052
How to Find Factors of 1130?
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 1130. Identifying the numbers which are multiplied to get the number 1130 is the multiplication method.
Step 1: Multiply 1130 by 1, 1130 × 1 = 1130.
Step 2: Check for other numbers that give 1130 after multiplying:
2 × 565 = 1130
5 × 226 = 1130
10 × 113 = 1130
Therefore, the positive factor pairs of 1130 are: (1, 1130), (2, 565), (5, 226), (10, 113).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers by 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 1130 by 1, 1130 ÷ 1 = 1130.
Step 2: Continue dividing 1130 by the numbers until the remainder becomes 0.
1130 ÷ 1 = 1130
1130 ÷ 2 = 565
1130 ÷ 5 = 226 1
130 ÷ 10 = 113
Therefore, the factors of 1130 are: 1, 2, 5, 10, 113, 226, 565, 1130.
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 1130 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1130 ÷ 2 = 565
565 ÷ 5 = 113
113 ÷ 113 = 1
The prime factors of 1130 are 2, 5, and 113.
The prime factorization of 1130 is: 2 × 5 × 113.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1130 is divided by 2 to get 565.
Step 2: Now divide 565 by 5 to get 113.
Step 3: 113 is a prime number and cannot be divided further.
So, the prime factorization of 1130 is: 2 × 5 × 113.
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 1130: (1, 1130), (2, 565), (5, 226), (10, 113).
Negative factor pairs of 1130: (-1, -1130), (-2, -565), (-5, -226), (-10, -113).
Common Mistakes and How to Avoid Them in Factors of 1130
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 1130, 1 and 1130 are also factors.
Factors of 1130 Examples
Problem 1
There are 10 teams and 1130 points. How will they distribute it equally?
They will get 113 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
1130/10 = 113
Problem 2
A garden is rectangular, the length of the garden is 226 meters and the total area is 1130 square meters. Find the width?
5 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1130 = 226 × width
To find the value of width, shift 226 to the left side.
1130/226 = width
Width = 5.
Problem 3
There are 226 boxes and 1130 items. How many items will be in each box?
Each box will have 5 items.
Explanation
To find the items in each box, divide the total items by the boxes.
1130/226 = 5
Problem 4
In a concert, there are 1130 seats, and 113 rows. How many seats are there in each row?
There are 10 seats in each row.
Explanation
Dividing the seats by the total rows, we will get the number of seats in each row.
1130/113 = 10
Problem 5
1130 books need to be arranged in 5 sections. How many books will go in each section?
Each of the sections has 226 books.
Explanation
Divide total books by sections.
1130/5 = 226
FAQs on Factors of 1130
1.What are the factors of 1130?
2.Mention the prime factors of 1130.
3.Is 1130 a multiple of 113?
4.Mention the factor pairs of 1130?
5.What is the square of 1130?
Important Glossaries for Factors of 1130
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1130 are 1, 2, 5, 10, 113, 226, 565, 1130.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 113 are prime factors of 1130.
- 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 1130 are (1, 1130), (2, 565), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For 1130, it is 2 × 5 × 113.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, 2 × 565 = 1130.
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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.
