100 LearnersLast updated on May 26th, 2025
Factors of 1136
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 1136, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1136?
The numbers that divide 1136 evenly are known as factors of 1136.
A factor of 1136 is a number that divides the number without remainder.
The factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, and 1136.
Negative factors of 1136: -1, -2, -4, -8, -16, -71, -142, -284, -568, and -1136.
Prime factors of 1136: 2 and 71.
Prime factorization of 1136: 24 × 71.
The sum of factors of 1136: 1 + 2 + 4 + 8 + 16 + 71 + 142 + 284 + 568 + 1136 = 2232
How to Find Factors of 1136?
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 1136. Identifying the numbers which are multiplied to get the number 1136 is the multiplication method.
Step 1: Multiply 1136 by 1, 1136 × 1 = 1136.
Step 2: Check for other numbers that give 1136 after multiplying:
2 × 568 = 1136
4 × 284 = 1136
8 × 142 = 1136
16 × 71 = 1136
Therefore, the positive factor pairs of 1136 are: (1, 1136), (2, 568), (4, 284), (8, 142), (16, 71).
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 1136 by 1, 1136 ÷ 1 = 1136.
Step 2: Continue dividing 1136 by the numbers until the remainder becomes 0.
1136 ÷ 1 = 1136
1136 ÷ 2 = 568
1136 ÷ 4 = 284
1136 ÷ 8 = 142
1136 ÷ 16 = 71
Therefore, the factors of 1136 are: 1, 2, 4, 8, 16, 71, 142, 284, 568, 1136.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 1136 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1136 ÷ 2 = 568
568 ÷ 2 = 284
284 ÷ 2 = 142
142 ÷ 2 = 71
71 ÷ 71 = 1
The prime factors of 1136 are 2 and 71.
The prime factorization of 1136 is: 24 × 71.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 1136 is divided by 2 to get 568.
Step 2: Now divide 568 by 2 to get 284.
Step 3: Then divide 284 by 2 to get 142.
Step 4: Divide 142 by 2 to get 71. Here, 71 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1136 is: 24 × 71.
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 1136: (1, 1136), (2, 568), (4, 284), (8, 142), and (16, 71).
Negative factor pairs of 1136: (-1, -1136), (-2, -568), (-4, -284), (-8, -142), and (-16, -71).
Common Mistakes and How to Avoid Them in Factors of 1136
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 1136, 1 and 1136 are also factors.
Factors of 1136 Examples
Problem 1
There are 16 people and 1136 candies. How will they divide it equally?
They will get 71 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of people.
1136/16 = 71
Problem 2
A garden is rectangular, the length of the garden is 71 meters and the total area is 1136 square meters. Find the width?
16 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1136 = 71 × width
To find the value of width, we need to shift 71 to the left side.
1136/71 = width
Width = 16.
Problem 3
There are 8 baskets and 1136 apples. How many apples will be in each basket?
Each basket will have 142 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
1136/8 = 142
Problem 4
In a class, there are 142 students, and 8 groups. How many students are there in each group?
There are 17 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
142/8 = 17
Problem 5
1136 books need to be arranged in 71 shelves. How many books will go on each shelf?
Each of the shelves has 16 books.
Explanation
Divide total books by shelves.
1136/71 = 16
FAQs on Factors of 1136
1.What are the factors of 1136?
2.Mention the prime factors of 1136.
3.Is 1136 a multiple of 4?
4.Mention the factor pairs of 1136?
5.What is the square of 1136?
Important Glossaries for Factor of 1136
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1136 are 1, 2, 4, 8, 16, 71, 142, 284, 568, and 1136.
- Prime factors: The factors which are prime numbers. For example, 2 and 71 are prime factors of 1136.
- 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 1136 are (1, 1136), (2, 568), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1136 is 24 × 71.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, using the multiplication method to find factor pairs of 1136.
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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.
