100 LearnersLast updated on May 26th, 2025
Factors of 1118
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 1118, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1118?
The numbers that divide 1118 evenly are known as factors of 1118.
A factor of 1118 is a number that divides the number without a remainder.
The factors of 1118 are 1, 2, 559, and 1118.
Negative factors of 1118: -1, -2, -559, and -1118.
Prime factors of 1118: 2 and 559.
Prime factorization of 1118: 2 × 559.
The sum of factors of 1118: 1 + 2 + 559 + 1118 = 1680
How to Find Factors of 1118?
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 1118. Identifying the numbers which are multiplied to get the number 1118 is the multiplication method.
Step 1: Multiply 1118 by 1, 1118 × 1 = 1118.
Step 2: Check for other numbers that give 1118 after multiplying 2 × 559 = 1118
Therefore, the positive factor pairs of 1118 are: (1, 1118) and (2, 559).
All these factor pairs result in 1118.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Divide the given number with whole numbers until the remainder becomes zero and list out the numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method:
Step 1: Divide 1118 by 1, 1118 ÷ 1 = 1118.
Step 2: Continue dividing 1118 by numbers until the remainder becomes 0.
1118 ÷ 1 = 1118
1118 ÷ 2 = 559
Therefore, the factors of 1118 are: 1, 2, 559, 1118.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 1118 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1118 ÷ 2 = 559
559 ÷ 559 = 1
The prime factors of 1118 are 2 and 559.
The prime factorization of 1118 is: 2 × 559.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows:
Step 1: Firstly, 1118 is divided by 2 to get 559. Here, 559 is a prime number and cannot be divided further.
So, the prime factorization of 1118 is: 2 × 559.
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 1118: (1, 1118) and (2, 559).
Negative factor pairs of 1118: (-1, -1118) and (-2, -559).
Common Mistakes and How to Avoid Them in Factors of 1118
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 1118, 1 and 1118 are also factors.
Factors of 1118 Examples
Problem 1
A group of 1118 people is attending a conference, and they need to be seated in rows of 2. How many rows will there be?
There will be 559 rows.
Explanation
To divide the people into rows equally, divide the total number of people by the number of people per row.
1118/2 = 559
Problem 2
A rectangular garden has a width of 2 meters and a total area of 1118 square meters. Find the length of the garden.
The length of the garden is 559 meters.
Explanation
To find the length of the garden, use the formula: Area = length × width 1118 = length × 2
To find the value of the length, divide the area by the width.
1118/2 = length
Length = 559
Problem 3
A parking area has 1118 parking spots and is divided into 559 rows. How many spots are there per row?
There are 2 spots per row.
Explanation
To find the number of spots in each row, divide the total spots by the rows.
1118/559 = 2
Problem 4
An event has 1118 participants, and the organizer wants to distribute them into 2 equal teams. How many participants will be in each team?
There will be 559 participants in each team.
Explanation
Dividing the participants into teams, we will get the number of participants in each team.
1118/2 = 559
Problem 5
A library has 1118 books to be arranged in 2 bookshelves. How many books will go on each shelf?
Each shelf will have 559 books.
Explanation
Divide the total number of books by the number of shelves.
1118/2 = 559
FAQs on Factors of 1118
1.What are the factors of 1118?
2.Mention the prime factors of 1118.
3.Is 1118 a multiple of 2?
4.Mention the factor pairs of 1118.
5.What is the square of 1118?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1118?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1118 with numbers?
8.What role do numbers and Factors of 1118 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1118 skills?
Important Glossaries for Factors of 1118
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1118 are 1, 2, 559, and 1118.
- Prime factors: The factors which are prime numbers. For example, 2 and 559 are prime factors of 1118.
- 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 1118 are (1, 1118) and (2, 559).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1118 is 2 × 559.
- Negative factors: The negative equivalent of the positive factors. For example, the negative factors of 1118 are -1, -2, -559, and -1118.
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About BrightChamps in United Arab Emirates
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.
