100 LearnersLast updated on May 26th, 2025
Factors of 1133
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 1133, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1133?
The numbers that divide 1133 evenly are known as factors of 1133.
A factor of 1133 is a number that divides the number without remainder.
The factors of 1133 are 1, 11, 103, and 1133.
Negative factors of 1133: -1, -11, -103, and -1133.
Prime factors of 1133: 11 and 103.
Prime factorization of 1133: 11 × 103.
The sum of factors of 1133: 1 + 11 + 103 + 1133 = 1248
How to Find Factors of 1133?
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 1133. Identifying the numbers which are multiplied to get the number 1133 is the multiplication method.
Step 1: Multiply 1133 by 1, 1133 × 1 = 1133.
Step 2: Check for other numbers that give 1133 after multiplying 11 × 103 = 1133
Therefore, the positive factor pairs of 1133 are: (1, 1133) and (11, 103).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given number by whole numbers until the remainder becomes zero and list out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1133 by 1, 1133 ÷ 1 = 1133.
Step 2: Continue dividing 1133 by the numbers until the remainder becomes 0.
1133 ÷ 1 = 1133
1133 ÷ 11 = 103
Therefore, the factors of 1133 are: 1, 11, 103, 1133.
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 1133 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1133 ÷ 11 = 103
103 ÷ 103 = 1
The prime factors of 1133 are 11 and 103.
The prime factorization of 1133 is: 11 × 103.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1133 is divided by 11 to get 103.
Step 2: Now divide 103 by 103 to get 1. Here, both 11 and 103 are prime numbers, and the division ends with 1.
So, the prime factorization of 1133 is: 11 × 103.
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 1133: (1, 1133) and (11, 103).
Negative factor pairs of 1133: (-1, -1133) and (-11, -103).
Common Mistakes and How to Avoid Them in Factors of 1133
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 1133, 1 and 1133 are also factors.
Factors of 1133 Examples
Problem 1
There are 11 teams and 1133 candies. How will they divide them equally?
They will get 103 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of teams.
1133/11 = 103
Problem 2
A field is rectangular, the length of the field is 11 meters and the total area is 1133 square meters. Find the width?
103 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width 1133 = 11 × width
To find the value of the width, we need to shift 11 to the left side.
1133/11 = width
Width = 103.
Problem 3
There are 103 baskets and 1133 apples. How many apples will be in each basket?
Each basket will have 11 apples.
Explanation
To find the apples in each basket, divide the total apples by the number of baskets.
1133/103 = 11
Problem 4
In a class, there are 1133 students and 11 groups. How many students are there in each group?
There are 103 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
1133/11 = 103
Problem 5
1133 books need to be arranged in 103 shelves. How many books will go on each shelf?
Each of the shelves has 11 books.
Explanation
Divide total books by shelves.
1133/103 = 11
FAQs on Factors of 1133
1.What are the factors of 1133?
2.Mention the prime factors of 1133.
3.Is 1133 a multiple of 11?
4.Mention the factor pairs of 1133?
5.What is the square of 1133?
Important Glossaries for Factors of 1133
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1133 are 1, 11, 103, and 1133.
- Prime factors: The factors which are prime numbers. For example, 11 and 103 are prime factors of 1133.
- 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 1133 are (1, 1133) and (11, 103).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 11 × 103 = 1133.
- Division method: A method to find factors by dividing the original number by integers to achieve a quotient without a remainder. For example, dividing 1133 by 11 results in 103, a factor.
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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.
