117 LearnersLast updated on May 26th, 2025
Factors of 18180
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 18180, how they are used in real life, and tips to learn them quickly.
What are the Factors of 18180?
The numbers that divide 18180 evenly are known as factors of 18180.
A factor of 18180 is a number that divides the number without remainder.
The factors of 18180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 202, 270, 324, 405, 486, 540, 810, 945, 1215, 1620, 2430, 3240, 4050, 4860, 6075, 8100, 12150, 20250, 24300, 40500, 60750, 121500, and 18180.
Negative factors of 18180: -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -27, -30, -36, -45, -54, -60, -81, -90, -108, -135, -162, -180, -202, -270, -324, -405, -486, -540, -810, -945, -1215, -1620, -2430, -3240, -4050, -4860, -6075, -8100, -12150, -20250, -24300, -40500, -60750, -121500, and -18180.
Prime factors of 18180: 2, 3, and 5.
Prime factorization of 18180: 2² × 3² × 5 × 202
The sum of factors of 18180: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 27 + 30 + 36 + 45 + 54 + 60 + 81 + 90 + 108 + 135 + 162 + 180 + 202 + 270 + 324 + 405 + 486 + 540 + 810 + 945 + 1215 + 1620 + 2430 + 3240 + 4050 + 4860 + 6075 + 8100 + 12150 + 20250 + 24300 + 40500 + 60750 + 121500 + 18180 = 546672
How to Find Factors of 18180?
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 18180. Identifying the numbers which are multiplied to get the number 18180 is the multiplication method.
Step 1: Multiply 18180 by 1, 18180 × 1 = 18180.
Step 2: Check for other numbers that give 18180 after multiplying:
2 × 9090 = 18180
3 × 6060 = 18180
4 × 4545 = 18180
5 × 3636 = 18180
6 × 3030 = 18180
Therefore, the positive factor pairs of 18180 include: (1, 18180), (2, 9090), (3, 6060), (4, 4545), (5, 3636), (6, 3030), etc. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with 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 18180 by 1, 18180 ÷ 1 = 18180.
Step 2: Continue dividing 18180 by the numbers until the remainder becomes 0.
18180 ÷ 1 = 18180
18180 ÷ 2 = 9090
18180 ÷ 3 = 6060
18180 ÷ 4 = 4545
18180 ÷ 5 = 3636
Therefore, the factors of 18180 include: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 202, 270, 324, 405, 486, 540, 810, 945, 1215, 1620, 2430, 3240, 4050, 4860, 6075, 8100, 12150, 20250, 24300, 40500, 60750, 121500, and 18180.
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 18180 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
18180 ÷ 2 = 9090
9090 ÷ 2 = 4545
4545 ÷ 3 = 1515
1515 ÷ 3 = 505
505 ÷ 5 = 101
101 is a prime number and cannot be divided further.
The prime factors of 18180 are 2, 3, and 5.
The prime factorization of 18180 is: 2² × 3² × 5 × 101.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 18180 is divided by 2 to get 9090.
Step 2: Now divide 9090 by 2 to get 4545.
Step 3: Then divide 4545 by 3 to get 1515.
Step 4: Divide 1515 by 3 to get 505.
Step 5: Divide 505 by 5 to get 101. Here, 101 is a prime number that cannot be divided anymore. So, the prime factorization of 18180 is: 2² × 3² × 5 × 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 18180 include: (1, 18180), (2, 9090), (3, 6060), (4, 4545), (5, 3636), etc.
Negative factor pairs of 18180 include: (-1, -18180), (-2, -9090), (-3, -6060), (-4, -4545), (-5, -3636), etc.
Common Mistakes and How to Avoid Them in Factors of 18180
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 18180, 1 and 18180 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 18180 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 18180/1.5 = 12120, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 18180 are prime numbers.
For example, 2, 3, and 5 are the prime factors of 18180, but it has other factors like 4, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 18180 as 2² × 3² × 5 × 101 and missing all the key factors.
Factors of 18180 Examples
Problem 1
There are 18 friends and 18180 candies. How will they divide it equally?
They will get 1010 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
18180/18 = 1010
Problem 2
A field is rectangular, the length of the field is 30 meters, and the total area is 18180 square meters. Find the width?
606 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
18180 = 30 × width
To find the value of width, we need to shift 30 to the left side.
18180/30 = width
Width = 606.
Problem 3
There are 27 bags and 18180 candies. How many candies will be in each bag?
Each bag will have 674 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
18180/27 = 674
Problem 4
In a class, there are 18180 students, and 45 groups. How many students are there in each group?
There are 404 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
18180/45 = 404
Problem 5
18180 books need to be arranged in 202 shelves. How many books will go on each shelf?
Each of the shelves has 90 books.
Explanation
Divide the total books by the shelves.
18180/202 = 90
FAQs on Factors of 18180
1.What are the factors of 18180?
2.Mention the prime factors of 18180.
3.Is 18180 a multiple of 9?
4.Mention the factor pairs of 18180?
5.What is the square of 18180?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 18180?
7.What are some fun ways kids in Vietnam can practice Factors of 18180 with numbers?
8.What role do numbers and Factors of 18180 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 18180 skills?
Important Glossaries for Factor of 18180
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 18180 include 1, 2, 3, 4, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 18180.
- 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 18180 include (1, 18180), (2, 9090), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 18180 is 2² × 3² × 5 × 101.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 18180 is a multiple of 9.
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About BrightChamps in Vietnam
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.
