101 LearnersLast updated on May 26th, 2025
Factors of 1132
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1132, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1132?
The numbers that divide 1132 evenly are known as factors of 1132.
A factor of 1132 is a number that divides the number without remainder.
The factors of 1132 are 1, 2, 4, 283, 566, and 1132.
Negative factors of 1132: -1, -2, -4, -283, -566, and -1132.
Prime factors of 1132: 2 and 283.
Prime factorization of 1132: 2² × 283.
The sum of factors of 1132: 1 + 2 + 4 + 283 + 566 + 1132 = 1988
How to Find Factors of 1132?
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 1132. Identifying the numbers which are multiplied to get the number 1132 is the multiplication method.
Step 1: Multiply 1132 by 1, 1132 × 1 = 1132.
Step 2: Check for other numbers that give 1132 after multiplying
2 × 566 = 1132
4 × 283 = 1132
Therefore, the positive factor pairs of 1132 are: (1, 1132), (2, 566), (4, 283).
All these factor pairs result in 1132.
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 1132 by 1, 1132 ÷ 1 = 1132.
Step 2: Continue dividing 1132 by the numbers until the remainder becomes 0.
1132 ÷ 1 = 1132
1132 ÷ 2 = 566
1132 ÷ 4 = 283
Therefore, the factors of 1132 are: 1, 2, 4, 283, 566, 1132.
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 1132 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1132 ÷ 2 = 566
566 ÷ 2 = 283
283 is a prime number.
The prime factors of 1132 are 2 and 283.
The prime factorization of 1132 is: 2² × 283.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 1132 is divided by 2 to get 566.
Step 2: Now divide 566 by 2 to get 283. Here, 283 is a prime number and cannot be divided anymore.
So, the prime factorization of 1132 is: 2² × 283.
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 1132: (1, 1132), (2, 566), (4, 283).
Negative factor pairs of 1132: (-1, -1132), (-2, -566), (-4, -283).
Common Mistakes and How to Avoid Them in Factors of 1132
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 1132, 1 and 1132 are also factors.
Factors of 1132 Examples
Problem 1
There are 1132 apples and 4 baskets. How will they divide them equally into baskets?
They will get 283 apples in each basket.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
1132/4 = 283
Problem 2
A rectangular garden has a length of 283 meters and a total area of 1132 square meters. Find the width.
4 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1132 = 283 × width
To find the value of width, we need to shift 283 to the left side.
1132/283 = width
Width = 4.
Problem 3
There are 566 chairs in a hall and 2 rows. How many chairs will be in each row?
Each row will have 283 chairs.
Explanation
To find the chairs in each row, divide the total chairs by the number of rows.
566/2 = 283
Problem 4
In a stadium, there are 1132 spectators and 283 sections. How many spectators are there in each section?
There are 4 spectators in each section.
Explanation
Dividing the spectators by the total sections, we will get the number of spectators in each section.
1132/283 = 4
Problem 5
1132 pages need to be distributed among 2 printers. How many pages will go to each printer?
Each printer will get 566 pages.
Explanation
Divide total pages by the number of printers.
1132/2 = 566
FAQs on Factors of 1132
1.What are the factors of 1132?
2.Mention the prime factors of 1132.
3.Is 1132 a multiple of 4?
4.Mention the factor pairs of 1132.
5.What is the square of 1132?
Important Glossaries for Factor of 1132
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1132 are 1, 2, 4, 283, 566, and 1132.
- Prime factors: The factors which are prime numbers. For example, 2 and 283 are prime factors of 1132.
- 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 1132 are (1, 1132), (2, 566), (4, 283).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1132 is 2² × 283.
- Multiple: A number that can be divided by another number without a remainder. For example, 1132 is a multiple of 2, 4, and 283.
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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.
