101 LearnersLast updated on May 26th, 2025
Factors of 18000
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 18000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 18000?
The numbers that divide 18000 evenly are known as factors of 18000.
A factor of 18000 is a number that divides the number without a remainder.
The factors of 18000 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 375, 450, 600, 720, 900, 1000, 1200, 1500, 1800, 2250, 3000, 3600, 4500, 6000, 9000, and 18000.
Negative factors of 18000: -1, -2, -3, -4, -5, -6, -8, -9, -10, -12, -15, -18, -20, -24, -25, -30, -36, -40, -45, -50, -60, -72, -75, -90, -100, -120, -150, -180, -200, -225, -300, -360, -375, -450, -600, -720, -900, -1000, -1200, -1500, -1800, -2250, -3000, -3600, -4500, -6000, -9000, and -18000.
Prime factors of 18000: 2, 3, and 5.
Prime factorization of 18000: 2³ × 3² × 5³.
The sum of factors of 18000: 1 + 2 + 3 + 4 + 5 + 6 + 8 + 9 + 10 + 12 + 15 + 18 + 20 + 24 + 25 + 30 + 36 + 40 + 45 + 50 + 60 + 72 + 75 + 90 + 100 + 120 + 150 + 180 + 200 + 225 + 300 + 360 + 375 + 450 + 600 + 720 + 900 + 1000 + 1200 + 1500 + 1800 + 2250 + 3000 + 3600 + 4500 + 6000 + 9000 + 18000 = 52704
How to Find Factors of 18000?
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 18000. Identifying the numbers which are multiplied to get the number 18000 is the multiplication method.
Step 1: Multiply 18000 by 1, 18000 × 1 = 18000.
Step 2: Check for other numbers that give 18000 after multiplying
2 × 9000 = 18000
3 × 6000 = 18000
4 × 4500 = 18000
5 × 3600 = 18000
6 × 3000 = 18000
8 × 2250 = 18000
9 × 2000 = 18000
10 × 1800 = 18000
12 × 1500 = 18000
15 × 1200 = 18000
18 × 1000 = 18000
20 × 900 = 18000
24 × 750 = 18000
25 × 720 = 18000
30 × 600 = 18000
36 × 500 = 18000
40 × 450 = 18000
45 × 400 = 18000
50 × 360 = 18000
60 × 300 = 18000
72 × 250 = 18000
75 × 240 = 18000
90 × 200 = 18000
100 × 180 = 18000
120 × 150 = 18000
Therefore, the positive factor pairs of 18000 are: (1, 18000), (2, 9000), (3, 6000), (4, 4500), (5, 3600), (6, 3000), (8, 2250), (9, 2000), (10, 1800), (12, 1500), (15, 1200), (18, 1000), (20, 900), (24, 750), (25, 720), (30, 600), (36, 500), (40, 450), (45, 400), (50, 360), (60, 300), (72, 250), (75, 240), (90, 200), (100, 180), (120, 150). 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 18000 by 1, 18000 ÷ 1 = 18000.
Step 2: Continue dividing 18000 by the numbers until the remainder becomes 0.
18000 ÷ 1 = 18000
18000 ÷ 2 = 9000
18000 ÷ 3 = 6000
18000 ÷ 4 = 4500
18000 ÷ 5 = 3600
18000 ÷ 6 = 3000
18000 ÷ 8 = 2250
18000 ÷ 9 = 2000
18000 ÷ 10 = 1800
18000 ÷ 12 = 1500
18000 ÷ 15 = 1200
18000 ÷ 18 = 1000
18000 ÷ 20 = 900
18000 ÷ 24 = 750
18000 ÷ 25 = 720
18000 ÷ 30 = 600
18000 ÷ 36 = 500
18000 ÷ 40 = 450
18000 ÷ 45 = 400
18000 ÷ 50 = 360
18000 ÷ 60 = 300
18000 ÷ 72 = 250
18000 ÷ 75 = 240
18000 ÷ 90 = 200
18000 ÷ 100 = 180
18000 ÷ 120 = 150
Therefore, the factors of 18000 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 375, 450, 600, 720, 900, 1000, 1200, 1500, 1800, 2250, 3000, 3600, 4500, 6000, 9000, 18000.
Prime Factors and Prime Factorization
The factors can be found by dividing them by 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 18000 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
18000 ÷ 2 = 9000
9000 ÷ 2 = 4500
4500 ÷ 2 = 2250
2250 ÷ 2 = 1125
1125 ÷ 3 = 375
375 ÷ 3 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 18000 are 2, 3, and 5.
The prime factorization of 18000 is: 2³ × 3² × 5³.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 18000 is divided by 2 to get 9000.
Step 2: Now divide 9000 by 2 to get 4500.
Step 3: Then divide 4500 by 2 to get 2250.
Step 4: Divide 2250 by 2 to get 1125.
Step 5: Now divide 1125 by 3 to get 375.
Step 6: Divide 375 by 3 to get 125.
Step 7: Then divide 125 by 5 to get 25.
Step 8: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 18000 is: 2³ × 3² × 5³.
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 18000: (1, 18000), (2, 9000), (3, 6000), (4, 4500), (5, 3600), (6, 3000), (8, 2250), (9, 2000), (10, 1800), (12, 1500), (15, 1200), (18, 1000), (20, 900), (24, 750), (25, 720), (30, 600), (36, 500), (40, 450), (45, 400), (50, 360), (60, 300), (72, 250), (75, 240), (90, 200), (100, 180), (120, 150).
Negative factor pairs of 18000: (-1, -18000), (-2, -9000), (-3, -6000), (-4, -4500), (-5, -3600), (-6, -3000), (-8, -2250), (-9, -2000), (-10, -1800), (-12, -1500), (-15, -1200), (-18, -1000), (-20, -900), (-24, -750), (-25, -720), (-30, -600), (-36, -500), (-40, -450), (-45, -400), (-50, -360), (-60, -300), (-72, -250), (-75, -240), (-90, -200), (-100, -180), (-120, -150).
Common Mistakes and How to Avoid Them in Factors of 18000
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 as a factor
Children might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 18000, 1 and 18000 are also factors.
Factors of 18000 Examples
Problem 1
There are 180 people and 18000 candies. How will they divide it equally?
They will get 100 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of people.
18000/180 = 100
Problem 2
A rectangular plot has a length of 200 meters and a total area of 18000 square meters. Find the width.
90 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
18000 = 200 × width
To find the value of width, we need to shift 200 to the left side.
18000/200 = width
Width = 90.
Problem 3
There are 450 boxes and 18000 marbles. How many marbles will be in each box?
Each box will have 40 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
18000/450 = 40
Problem 4
In a conference, there are 300 attendees, and 18000 snacks. How many snacks are there per attendee?
There are 60 snacks per attendee.
Explanation
Dividing the snacks by the total attendees, we will get the number of snacks per attendee.
18000/300 = 60
Problem 5
18000 bricks need to be arranged in 900 stacks. How many bricks will go in each stack?
Each stack will have 20 bricks.
Explanation
Divide total bricks by stacks.
18000/900 = 20
FAQs on Factors of 18000
1.What are the factors of 18000?
2.Mention the prime factors of 18000.
3.Is 18000 a multiple of 10?
4.Mention the factor pairs of 18000?
5.What is the cube of 18000?
6.How can children in Singapore use numbers in everyday life to understand Factors of 18000?
7.What are some fun ways kids in Singapore can practice Factors of 18000 with numbers?
8.What role do numbers and Factors of 18000 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 18000 skills?
Important Glossaries for Factors of 18000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 18000 are 1, 2, 3, 4, 5, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 18000.
- 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 18000 are (1, 18000), (2, 9000), etc.
- Prime factorization: It is expressing a number as a product of its prime factors. For example, 18000 as 2³ × 3² × 5³.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 18000 is a multiple of 10.
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About BrightChamps in Singapore
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.
