100 LearnersLast updated on May 26th, 2025
Factors of 1818
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 1818, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1818?
The numbers that divide 1818 evenly are known as factors of 1818.
A factor of 1818 is a number that divides the number without remainder.
The factors of 1818 are 1, 2, 3, 6, 303, 606, 909, and 1818.
Negative factors of 1818: -1, -2, -3, -6, -303, -606, -909, and -1818.
Prime factors of 1818: 2, 3, and 101.
Prime factorization of 1818: 2 × 3 × 101.
The sum of factors of 1818: 1 + 2 + 3 + 6 + 303 + 606 + 909 + 1818 = 3648
How to Find Factors of 1818?
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 1818. Identifying the numbers which are multiplied to get the number 1818 is the multiplication method.
Step 1: Multiply 1818 by 1, 1818 × 1 = 1818.
Step 2: Check for other numbers that give 1818 after multiplying:
2 × 909 = 1818
3 × 606 = 1818
6 × 303 = 1818
Therefore, the positive factor pairs of 1818 are: (1, 1818), (2, 909), (3, 606), (6, 303).
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 1818 by 1, 1818 ÷ 1 = 1818.
Step 2: Continue dividing 1818 by the numbers until the remainder becomes 0.
1818 ÷ 1 = 1818
1818 ÷ 2 = 909
1818 ÷ 3 = 606
1818 ÷ 6 = 303
Therefore, the factors of 1818 are: 1, 2, 3, 6, 303, 606, 909, 1818.
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 1818 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1818 ÷ 2 = 909
909 ÷ 3 = 303
303 ÷ 3 = 101
101 ÷ 101 = 1
The prime factors of 1818 are 2, 3, and 101.
The prime factorization of 1818 is: 2 × 3 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1818 is divided by 2 to get 909.
Step 2: Now divide 909 by 3 to get 303.
Step 3: Then divide 303 by 3 to get 101.
Here, 101 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 1818 is: 2 × 3 × 101.
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 1818: (1, 1818), (2, 909), (3, 606), and (6, 303).
Negative factor pairs of 1818: (-1, -1818), (-2, -909), (-3, -606), and (-6, -303).
Common Mistakes and How to Avoid Them in Factors of 1818
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 1818, 1 and 1818 is also a factor.
Factors of 1818 Examples
Problem 1
There are 606 participants in a marathon and they need to be divided into groups of 3. How many groups will be formed?
202 groups will be formed.
Explanation
To divide the participants equally, we need to divide the total participants with the group size.
606/3 = 202
Problem 2
A piece of cloth is 1818 square meters and its length is 6 meters. What is the width?
303 meters.
Explanation
To find the width of the cloth, we use the formula,
Area = length × width
1818 = 6 × width
To find the value of width, we need to shift 6 to the left side.
1818/6 = width
Width = 303.
Problem 3
There are 303 rooms in a hotel and 3 cleaning staff. How many rooms does each staff member clean?
Each staff member will clean 101 rooms.
Explanation
To find the rooms each staff member will clean, divide the total rooms by the number of staff.
303/3 = 101
Problem 4
A company has 1818 employees and is creating 909 teams. How many employees will be in each team?
There are 2 employees in each team.
Explanation
Dividing the employees by the total teams, we will get the number of employees in each team.
1818/909 = 2
Problem 5
A library has 1818 books and wants to arrange them in 606 stacks. How many books will be in each stack?
Each stack will have 3 books.
Explanation
Divide total books by stacks.
1818/606 = 3
FAQs on Factors of 1818
1.What are the factors of 1818?
2.Mention the prime factors of 1818.
3.Is 1818 a multiple of 6?
4.Mention the factor pairs of 1818?
5.What is the square of 1818?
6.How can children in India use numbers in everyday life to understand Factors of 1818?
7.What are some fun ways kids in India can practice Factors of 1818 with numbers?
8.What role do numbers and Factors of 1818 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 1818 skills?
Important Glossaries for Factor of 1818
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1818 are 1, 2, 3, 6, 303, 606, 909, and 1818.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 101 are prime factors of 1818.
- 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 1818 are (1, 1818), (2, 909), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, 1818 = 2 × 3 × 101.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, identifying pairs such as 2 × 909 for 1818.
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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.
