100 LearnersLast updated on May 26th, 2025
Factors of 9000
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 9000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 9000?
The numbers that divide 9000 evenly are known as factors of 9000.
A factor of 9000 is a number that divides the number without remainder.
The factors of 9000 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, 225, 300, 360, 375, 450, 600, 750, 900, 1125, 1500, 1800, 2250, 3000, and 9000.
Negative factors of 9000: -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, -225, -300, -360, -375, -450, -600, -750, -900, -1125, -1500, -1800, -2250, -3000, and -9000.
Prime factors of 9000: 2, 3, and 5.
Prime factorization of 9000: 2³ × 3² × 5³.
The sum of factors of 9000: (Sum calculation omitted for brevity)
How to Find Factors of 9000?
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 9000. Identifying the numbers which are multiplied to get the number 9000 is the multiplication method.
Step 1: Multiply 9000 by 1, 9000 × 1 = 9000.
Step 2: Check for other numbers that give 9000 after multiplying
2 × 4500 = 9000
3 × 3000 = 9000
4 × 2250 = 9000
5 × 1800 = 9000
6 × 1500 = 9000
8 × 1125 = 9000
9 × 1000 = 9000
10 × 900 = 9000
Therefore, the positive factor pairs of 9000 are: (1, 9000), (2, 4500), (3, 3000), (4, 2250), (5, 1800), (6, 1500), (8, 1125), (9, 1000), (10, 900).
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 the simple division method
Step 1: Divide 9000 by 1, 9000 ÷ 1 = 9000.
Step 2: Continue dividing 9000 by the numbers until the remainder becomes 0.
9000 ÷ 1 = 9000
9000 ÷ 2 = 4500
9000 ÷ 3 = 3000
9000 ÷ 4 = 2250
9000 ÷ 5 = 1800
9000 ÷ 6 = 1500
9000 ÷ 8 = 1125
9000 ÷ 9 = 1000
9000 ÷ 10 = 900
Therefore, the factors of 9000 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, 225, 300, 360, 375, 450, 600, 750, 900, 1125, 1500, 1800, 2250, 3000, 9000.
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 9000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
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 9000 are 2, 3, and 5.
The prime factorization of 9000 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, 9000 is divided by 2 to get 4500.
Step 2: Now divide 4500 by 2 to get 2250.
Step 3: Then divide 2250 by 2 to get 1125.
Step 4: Divide 1125 by 3 to get 375.
Step 5: Divide 375 by 3 to get 125.
Step 6: Divide 125 by 5 to get 25.
Step 7: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 9000 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 9000: (1, 9000), (2, 4500), (3, 3000), (4, 2250), (5, 1800), (6, 1500), (8, 1125), (9, 1000), (10, 900).
Negative factor pairs of 9000: (-1, -9000), (-2, -4500), (-3, -3000), (-4, -2250), (-5, -1800), (-6, -1500), (-8, -1125), (-9, -1000), (-10, -900).
Common Mistakes and How to Avoid Them in Factors of 9000
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 9000, 1 and 9000 are also factors.
Factors of 9000 Examples
Problem 1
There are 9 teams and 9000 points to be shared equally. How many points will each team receive?
Each team will receive 1000 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
9000/9 = 1000
Problem 2
A rectangular billboard has a length of 45 meters and a total area of 9000 square meters. What is the width?
200 meters.
Explanation
To find the width of the billboard, we use the formula,
Area = length × width
9000 = 45 × width
To find the value of width, we need to shift 45 to the left side.
9000/45 = width
Width = 200.
Problem 3
A company has 15 boxes and 9000 flyers. How many flyers will be in each box?
Each box will have 600 flyers.
Explanation
To find the flyers in each box, divide the total flyers by the number of boxes.
9000/15 = 600
Problem 4
In a factory, there are 25 machines, and they produced 9000 products. How many products did each machine produce?
Each machine produced 360 products.
Explanation
Dividing the total products by the number of machines, we will get the number of products each machine produced.
9000/25 = 360
Problem 5
9000 books need to be arranged in 10 shelves. How many books will go on each shelf?
Each of the shelves has 900 books.
Explanation
Divide the total books by the number of shelves.
9000/10 = 900
FAQs on Factors of 9000
1.What are the factors of 9000?
2.Mention the prime factors of 9000.
3.Is 9000 a multiple of 3?
4.Mention the factor pairs of 9000?
5.What is the square of 9000?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 9000?
7.What are some fun ways kids in Indonesia can practice Factors of 9000 with numbers?
8.What role do numbers and Factors of 9000 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 9000 skills?
Important Glossaries for Factors of 9000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 9000 are 1, 2, 3, 4, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 9000.
- 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 9000 are (1, 9000), (2, 4500), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 9000 is 2³ × 3² × 5³.
- Multiplication method: A technique to find factors by identifying pairs of numbers that multiply to the original number. For example, using this method to find factors of 9000 involves pairs like 2 × 4500.
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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.
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