100 LearnersLast updated on May 26th, 2025
Factors of 1108
Factors are the numbers that divide any given number evenly without a 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 1108, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1108?
The numbers that divide 1108 evenly are known as factors of 1108.
A factor of 1108 is a number that divides the number without a remainder.
The factors of 1108 are 1, 2, 4, 277, 554, and 1108.
Negative factors of 1108: -1, -2, -4, -277, -554, and -1108.
Prime factors of 1108: 2 and 277.
Prime factorization of 1108: 2² × 277.
The sum of factors of 1108: 1 + 2 + 4 + 277 + 554 + 1108 = 1946
How to Find Factors of 1108?
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 1108. Identifying the numbers which are multiplied to get the number 1108 is the multiplication method.
Step 1: Multiply 1108 by 1, 1108 × 1 = 1108.
Step 2: Check for other numbers that give 1108 after multiplying
2 × 554 = 1108
4 × 277 = 1108
Therefore, the positive factor pairs of 1108 are: (1, 1108), (2, 554), (4, 277).
All these factor pairs result in 1108.
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 a simple division method
Step 1: Divide 1108 by 1, 1108 ÷ 1 = 1108.
Step 2: Continue dividing 1108 by the numbers until the remainder becomes 0.
1108 ÷ 1 = 1108
1108 ÷ 2 = 554
1108 ÷ 4 = 277
Therefore, the factors of 1108 are: 1, 2, 4, 277, 554, 1108.
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 1108 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1108 ÷ 2 = 554
554 ÷ 2 = 277
277 ÷ 277 = 1
The prime factors of 1108 are 2 and 277.
The prime factorization of 1108 is: 2² × 277.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1108 is divided by 2 to get 554.
Step 2: Now divide 554 by 2 to get 277.
Step 3: Divide 277 by 277 to get 1. Here, 277 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1108 is: 2² × 277.
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 1108: (1, 1108), (2, 554), (4, 277).
Negative factor pairs of 1108: (-1, -1108), (-2, -554), (-4, -277).
Common Mistakes and How to Avoid Them in Factors of 1108
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 1108, 1 and 1108 is also a factor.
Factors of 1108 Examples
Problem 1
A company needs to distribute 1108 pens evenly among 4 departments. How many pens will each department receive?
Each department will receive 277 pens.
Explanation
To divide the pens equally, we need to divide the total pens by the number of departments.
1108/4 = 277
Problem 2
A plot of land is rectangular, the length of the plot is 554 meters, and the total area is 1108 square meters. Find the width.
2 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width 1108 = 554 × width
To find the value of width, we need to shift 554 to the left side.
1108/554 = width
Width = 2.
Problem 3
A warehouse has 1108 boxes and 277 shelves. How many boxes will be placed on each shelf?
Each shelf will have 4 boxes.
Explanation
To find the boxes on each shelf, divide the total boxes by the number of shelves.
1108/277 = 4
Problem 4
A school has 1108 students, and they are to be divided into groups of 2. How many groups will there be?
There will be 554 groups.
Explanation
Dividing the students by the group size, we will get the number of groups.
1108/2 = 554
Problem 5
There are 1108 trees to be planted in 2 rows. How many trees will there be in each row?
Each row will have 554 trees.
Explanation
Divide total trees by the number of rows.
1108/2 = 554
FAQs on Factors of 1108
1.What are the factors of 1108?
2.Mention the prime factors of 1108.
3.Is 1108 a multiple of 4?
4.Mention the factor pairs of 1108?
5.What is the square of 1108?
6.How can children in Australia use numbers in everyday life to understand Factors of 1108?
7.What are some fun ways kids in Australia can practice Factors of 1108 with numbers?
8.What role do numbers and Factors of 1108 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 1108 skills?
Important Glossaries for Factor of 1108
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1108 are 1, 2, 4, 277, 554, and 1108.
- Prime factors: The factors which are prime numbers. For example, 2 and 277 are prime factors of 1108.
- 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 1108 are (1, 1108), (2, 554), etc.
- Multiple: A number that can be divided by another number without a remainder. For example, 1108 is a multiple of 4.
- Prime Factorization: Expressing a number as a product of its prime factors. For example, 1108 is expressed as 2² × 277.
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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.
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