101 LearnersLast updated on May 26th, 2025
Factors of 1134
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 1134, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1134?
The numbers that divide 1134 evenly are known as factors of 1134.
A factor of 1134 is a number that divides the number without remainder.
The factors of 1134 are 1, 2, 3, 6, 9, 18, 27, 42, 54, 81, 162, 189, 378, 567, and 1134.
Negative factors of 1134: -1, -2, -3, -6, -9, -18, -27, -42, -54, -81, -162, -189, -378, -567, and -1134.
Prime factors of 1134: 2, 3, and 7.
Prime factorization of 1134: 2 × 33 × 7.
The sum of factors of 1134: 1 + 2 + 3 + 6 + 9 + 18 + 27 + 42 + 54 + 81 + 162 + 189 + 378 + 567 + 1134 = 2673
How to Find Factors of 1134?
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 1134. Identifying the numbers which are multiplied to get the number 1134 is the multiplication method.
Step 1: Multiply 1134 by 1, 1134 × 1 = 1134.
Step 2: Check for other numbers that give 1134 after multiplying
2 × 567 = 1134
3 × 378 = 1134
6 × 189 = 1134
9 × 126 = 1134
18 × 63 = 1134
27 × 42 = 1134
Therefore, the positive factor pairs of 1134 are: (1, 1134), (2, 567), (3, 378), (6, 189), (9, 126), (18, 63), and (27, 42).
All these factor pairs result in 1134.
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 in whole numbers as factors. Factors can be calculated by following the simple division method
Step 1: Divide 1134 by 1, 1134 ÷ 1 = 1134.
Step 2: Continue dividing 1134 by the numbers until the remainder becomes 0.
1134 ÷ 1 = 1134
1134 ÷ 2 = 567
1134 ÷ 3 = 378
1134 ÷ 6 = 189
1134 ÷ 9 = 126
1134 ÷ 18 = 63
1134 ÷ 27 = 42
Therefore, the factors of 1134 are: 1, 2, 3, 6, 9, 18, 27, 42, 54, 81, 162, 189, 378, 567, 1134.
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 1134 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1134 ÷ 2 = 567
567 ÷ 3 = 189
189 ÷ 3 = 63
63 ÷ 3 = 21
21 ÷ 3 = 7
7 ÷ 7 = 1
The prime factors of 1134 are 2, 3, and 7.
The prime factorization of 1134 is: 2 × 33 × 7.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1134 is divided by 2 to get 567.
Step 2: Now divide 567 by 3 to get 189.
Step 3: Then divide 189 by 3 to get 63.
Step 4: Divide 63 by 3 to get 21.
Step 5: Divide 21 by 3 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1134 is: 2 × 33 × 7.
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 1134: (1, 1134), (2, 567), (3, 378), (6, 189), (9, 126), (18, 63), and (27, 42).
Negative factor pairs of 1134: (-1, -1134), (-2, -567), (-3, -378), (-6, -189), (-9, -126), (-18, -63), and (-27, -42).
Common Mistakes and How to Avoid Them in Factors of 1134
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 1134, 1 and 1134 is also a factor.
Factors of 1134 Examples
Problem 1
There are 6 friends and 1134 candies. How will they divide it equally?
They will get 189 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
1134/6 = 189
Problem 2
A rectangular garden has a length of 42 meters and a total area of 1134 square meters. Find the width?
27 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1134 = 42 × width
To find the value of the width, we need to shift 42 to the left side.
1134/42 = width
Width = 27.
Problem 3
There are 9 baskets and 1134 apples. How many apples will be in each basket?
Each basket will have 126 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1134/9 = 126
Problem 4
In a conference, there are 1134 participants and 54 tables. How many participants are there at each table?
There are 21 participants at each table.
Explanation
Dividing the participants by the total tables, we will get the number of participants at each table.
1134/54 = 21
Problem 5
1134 books need to be arranged in 18 shelves. How many books will go on each shelf?
Each of the shelves has 63 books.
Explanation
Divide total books by shelves.
1134/18 = 63
FAQs on Factors of 1134
1.What are the factors of 1134?
2.Mention the prime factors of 1134.
3.Is 1134 a multiple of 9?
4.Mention the factor pairs of 1134?
5.What is the square of 1134?
Important Glossaries for Factors of 1134
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1134 are 1, 2, 3, 6, 9, 18, 27, 42, 54, 81, 162, 189, 378, 567, and 1134.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 7 are prime factors of 1134.
- 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 1134 are (1, 1134), (2, 567), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1134 is 2 × 33 × 7.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 1134 is a multiple of 18.
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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.
