101 LearnersLast updated on May 26th, 2025
Factors of 2018
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 2018, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2018?
The numbers that divide 2018 evenly are known as factors of 2018.
A factor of 2018 is a number that divides the number without remainder.
The factors of 2018 are 1, 2, 1009, and 2018.
Negative factors of 2018: -1, -2, -1009, and -2018.
Prime factors of 2018: 2 and 1009.
Prime factorization of 2018: 2 × 1009.
The sum of factors of 2018: 1 + 2 + 1009 + 2018 = 3030
How to Find Factors of 2018?
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 2018. Identifying the numbers which are multiplied to get the number 2018 is the multiplication method.
Step 1: Multiply 2018 by 1, 2018 × 1 = 2018.
Step 2: Check for other numbers that give 2018 after multiplying
2 × 1009 = 2018
Therefore, the positive factor pairs of 2018 are: (1, 2018) and (2, 1009).
All these factor pairs result in 2018.
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 2018 by 1, 2018 ÷ 1 = 2018.
Step 2: Continue dividing 2018 by the numbers until the remainder becomes 0.
2018 ÷ 1 = 2018
2018 ÷ 2 = 1009
Therefore, the factors of 2018 are: 1, 2, 1009, and 2018.
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 2018 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
2018 ÷ 2 = 1009
1009 ÷ 1009 = 1
The prime factors of 2018 are 2 and 1009.
The prime factorization of 2018 is: 2 × 1009.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 2018 is divided by 2 to get 1009. Here, 1009 is a prime number and cannot be divided further.
So, the prime factorization of 2018 is: 2 × 1009.
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 2018: (1, 2018) and (2, 1009).
Negative factor pairs of 2018: (-1, -2018) and (-2, -1009).
Common Mistakes and How to Avoid Them in Factors of 2018
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 the factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 2018, 1 and 2018 are also factors.
Factors of 2018 Examples
Problem 1
There are 2018 apples and 2 baskets. How will they divide it equally?
They will get 1009 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of baskets.
2018/2 = 1009
Problem 2
A rectangular garden has a length of 1009 meters and the total area is 2018 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
2018 = 1009 × width
To find the value of width, we need to shift 1009 to the left side.
2018/1009 = width
Width = 2.
Problem 3
There are 2018 books and 1 bookshelf. How many books will be on the shelf?
There will be 2018 books on the shelf.
Explanation
To find the books on each shelf, divide the total books by the number of shelves.
2018/1 = 2018
Problem 4
In a class, there are 2018 candies and 2 jars. How many candies are there in each jar?
There are 1009 candies in each jar.
Explanation
Dividing the candies by the total jars, we will get the number of candies in each jar.
2018/2 = 1009
Problem 5
2018 marbles need to be distributed into 2 boxes equally. How many marbles will go in each box?
Each of the boxes has 1009 marbles.
Explanation
Divide total marbles by boxes.
2018/2 = 1009
FAQs on Factors of 2018
1.What are the factors of 2018?
2.Mention the prime factors of 2018.
3.Is 2018 a multiple of 2?
4.Mention the factor pairs of 2018?
5.What is the square of 2018?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 2018?
7.What are some fun ways kids in Indonesia can practice Factors of 2018 with numbers?
8.What role do numbers and Factors of 2018 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 2018 skills?
Important Glossaries for Factors of 2018
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2018 are 1, 2, 1009, and 2018.
- Prime factors: The factors which are prime numbers. For example, 2 and 1009 are prime factors of 2018.
- 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 2018 are (1, 2018) and (2, 1009).
- Prime Factorization: The process of expressing a number as a product of its prime factors. For example, 2018 = 2 × 1009.
- Negative Factors: Factors that are negative counterparts of the positive factors. For example, the negative factors of 2018 are -1, -2, -1009, and -2018.
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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
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