121 LearnersLast updated on May 26th, 2025
Factors of 18060
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 18060, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 18060?
The numbers that divide 18060 evenly are known as factors of 18060.
A factor of 18060 is a number that divides the number without a remainder.
The factors of 18060 include numbers like 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, and so on up to 18060 itself.
Negative factors of 18060: -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, etc.
Prime factors of 18060: 2, 3, and 5.
Prime factorization of 18060: 22 × 32 × 5 × 67.
The sum of factors of 18060: The sum is calculated by adding all factors of 18060.
How to Find Factors of 18060?
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 18060. Identifying the numbers which are multiplied to get the number 18060 is the multiplication method.
Step 1: Multiply 18060 by 1, 18060 × 1 = 18060.
Step 2: Check for other numbers that give 18060 after multiplying:
2 × 9030 = 18060
3 × 6020 = 18060
4 × 4515 = 18060
5 × 3612 = 18060
6 × 3010 = 18060
Therefore, the positive factor pairs of 18060 are: (1, 18060), (2, 9030), (3, 6020), (4, 4515), (5, 3612), and (6, 3010). 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 as whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 18060 by 1, 18060 ÷ 1 = 18060.
Step 2: Continue dividing 18060 by the numbers until the remainder becomes 0.
18060 ÷ 1 = 18060
18060 ÷ 2 = 9030
18060 ÷ 3 = 6020
18060 ÷ 4 = 4515
18060 ÷ 5 = 3612
Therefore, the factors of 18060 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, and so on.
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 18060 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
18060 ÷ 2 = 9030
9030 ÷ 2 = 4515
4515 ÷ 3 = 1505
1505 ÷ 3 = 501
501 ÷ 5 = 100
100 ÷ 67 = 1
The prime factors of 18060 are 2, 3, 5, and 67.
The prime factorization of 18060 is: 22 × 32 × 5 × 67.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 18060 is divided by 2 to get 9030.
Step 2: Now divide 9030 by 2 to get 4515.
Step 3: Then divide 4515 by 3 to get 1505.
Step 4: Divide 1505 by 3 to get 501.
Step 5: Divide 501 by 5 to get 100.
Step 6: Finally, divide 100 by 67 to get 1. So, the prime factorization of 18060 is: 22 × 32 × 5 × 67.
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 18060: (1, 18060), (2, 9030), (3, 6020), (4, 4515), (5, 3612), (6, 3010), etc.
Negative factor pairs of 18060: (-1, -18060), (-2, -9030), (-3, -6020), (-4, -4515), (-5, -3612), (-6, -3010), etc.
Common Mistakes and How to Avoid Them in Factors of 18060
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 18060, 1 and 18060 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 18060 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 18060/1.5 does not result in 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 18060 are prime numbers. For example, 2, 3, and 5 are the prime factors of 18060, but it has other factors like 4, 6, 9, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 18060 as 22 × 32 × 5 × 67 and missing all the key factors.
Factors of 18060 Examples
Problem 1
There are 10 teams and 18060 tickets. How will they distribute the tickets equally?
They will get 1806 tickets each.
Explanation
To distribute the tickets equally, we need to divide the total tickets by the number of teams.
18060/10 = 1806
Problem 2
A theater has a seating capacity of 18060 square feet, and each seat occupies 4 square feet. How many seats are there?
4515 seats.
Explanation
To find the number of seats, use the formula,
Total Area = number of seats × area per seat
18060 = number of seats × 4 number of seats = 18060/4 number of seats = 4515
Problem 3
There are 45 buses and 18060 passengers. How many passengers will be in each bus?
Each bus will have 401 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the number of buses.
18060/45 = 401
Problem 4
A school has 18060 students and 15 classes. How many students are there in each class?
There are 1204 students in each class.
Explanation
Dividing the total students by the number of classes, we will get the number of students in each class.
18060/15 = 1204
Problem 5
18060 books need to be arranged in 30 shelves. How many books will go on each shelf?
Each shelf will have 602 books.
Explanation
Divide the total books by the number of shelves.
18060/30 = 602
FAQs on Factors of 18060
1.What are the factors of 18060?
2.Mention the prime factors of 18060.
3.Is 18060 a multiple of 6?
4.Mention the factor pairs of 18060?
5.What is the square of 18060?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 18060?
7.What are some fun ways kids in Vietnam can practice Factors of 18060 with numbers?
8.What role do numbers and Factors of 18060 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 18060 skills?
Important Glossaries for Factors of 18060
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 18060 are numbers like 1, 2, 3, 4, 5, 6, and so on up to 18060.
- Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 67 are prime factors of 18060.
- 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 18060 are (1, 18060), (2, 9030), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the number by integers and checking for whole number results.
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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.
