100 LearnersLast updated on May 26th, 2025
Factors of 1096
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 1096, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1096?
The numbers that divide 1096 evenly are known as factors of 1096.
A factor of 1096 is a number that divides the number without remainder.
The factors of 1096 are 1, 2, 4, 8, 137, 274, 548, and 1096.
Negative factors of 1096: -1, -2, -4, -8, -137, -274, -548, and -1096.
Prime factors of 1096: 2 and 137.
Prime factorization of 1096: 2³ × 137.
The sum of factors of 1096: 1 + 2 + 4 + 8 + 137 + 274 + 548 + 1096 = 2070
How to Find Factors of 1096?
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 1096. Identifying the numbers which are multiplied to get the number 1096 is the multiplication method.
Step 1: Multiply 1096 by 1, 1096 × 1 = 1096.
Step 2: Check for other numbers that give 1096 after multiplying
2 × 548 = 1096
4 × 274 = 1096
8 × 137 = 1096
Therefore, the positive factor pairs of 1096 are: (1, 1096), (2, 548), (4, 274), (8, 137).
All these factor pairs result in 1096.
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 1096 by 1, 1096 ÷ 1 = 1096.
Step 2: Continue dividing 1096 by the numbers until the remainder becomes 0.
1096 ÷ 1 = 1096
1096 ÷ 2 = 548
1096 ÷ 4 = 274
1096 ÷ 8 = 137
Therefore, the factors of 1096 are: 1, 2, 4, 8, 137, 274, 548, 1096.
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 1096 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1096 ÷ 2 = 548
548 ÷ 2 = 27
4 274 ÷ 2 = 137
137 ÷ 137 = 1
The prime factors of 1096 are 2 and 137.
The prime factorization of 1096 is: 2³ × 137.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1096 is divided by 2 to get 548.
Step 2: Now divide 548 by 2 to get 274.
Step 3: Then divide 274 by 2 to get 137.
Here, 137 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 1096 is: 2³ × 137.
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 1096: (1, 1096), (2, 548), (4, 274), (8, 137).
Negative factor pairs of 1096: (-1, -1096), (-2, -548), (-4, -274), (-8, -137).
Common Mistakes and How to Avoid Them in Factors of 1096
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 1096, 1 and 1096 are also factors.
Factors of 1096 Examples
Problem 1
There are 8 gardeners and 1096 plants. How will they divide them equally?
They will get 137 plants each.
Explanation
To divide the plants equally, we need to divide the total plants by the number of gardeners.
1096/8 = 137
Problem 2
A warehouse has a length of 4 meters, and the total area is 1096 square meters. Find the width.
274 meters.
Explanation
To find the width of the warehouse, we use the formula,
Area = length × width
1096 = 4 × width
To find the width, we need to shift 4 to the left side.
1096/4 = width
Width = 274.
Problem 3
There are 548 boxes and 1096 items. How many items will be in each box?
Each box will have 2 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
1096/548 = 2
Problem 4
In a concert, there are 1096 seats and 2 sections. How many seats are there in each section?
There are 548 seats in each section.
Explanation
Dividing the seats by the total sections, we will get the number of seats in each section.
1096/2 = 548
Problem 5
1096 books need to be arranged in 137 shelves. How many books will go on each shelf?
Each of the shelves has 8 books.
Explanation
Divide total books by shelves.
1096/137 = 8
FAQs on Factors of 1096
1.What are the factors of 1096?
2.Mention the prime factors of 1096.
3.Is 1096 a multiple of 4?
4.Mention the factor pairs of 1096?
5.What is the square of 1096?
6.How can children in Australia use numbers in everyday life to understand Factors of 1096?
7.What are some fun ways kids in Australia can practice Factors of 1096 with numbers?
8.What role do numbers and Factors of 1096 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1096 skills?
Important Glossaries for Factor of 1096
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1096 are 1, 2, 4, 8, 137, 274, 548, and 1096.
- Prime factors: The factors which are prime numbers. For example, 2 and 137 are prime factors of 1096.
- 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 1096 are (1, 1096), (2, 548), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1096 is 2³ × 137.
- Multiplication method: A method to find factor pairs by identifying numbers that can be multiplied to result in the original number. For example, for 1096, (2, 548) is a factor pair identified by multiplication.
Explore More numbers
Previous to Factors of 1096
About BrightChamps in Australia
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.
