136 LearnersLast updated on May 26th, 2025
Factors of 90000
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 90000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 90000?
The numbers that divide 90000 evenly are known as factors of 90000. A factor of 90000 is a number that divides the number without remainder.
The factors of 90000 include numbers such as 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, 450, 600, 720, 900, 1000, 1125, 1800, 2250, 3000, 3600, 4500, 9000, 18000, 22500, 30000, and 90000.
Negative factors of 90000: -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, -450, -600, -720, -900, -1000, -1125, -1800, -2250, -3000, -3600, -4500, -9000, -18000, -22500, -30000, and -90000.
Prime factors of 90000: 2, 3, and 5.
Prime factorization of 90000: 24 × 32 × 54.
The sum of factors of 90000 is a large number that can be calculated by adding all its factors.
How to Find Factors of 90000?
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 90000. Identifying the numbers which are multiplied to get the number 90000 is the multiplication method.
Step 1: Multiply 90000 by 1, 90000 × 1 = 90000.
Step 2: Check for other numbers that give 90000 after multiplying
2 × 45000 = 90000
3 × 30000 = 90000
4 × 22500 = 90000
5 × 18000 = 90000 ... (continue for other pairs)
Therefore, some of the positive factor pairs of 90000 are: (1, 90000), (2, 45000), (3, 30000), (4, 22500), (5, 18000), and so on. For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 the simple division method -
Step 1: Divide 90000 by 1, 90000 ÷ 1 = 90000.
Step 2: Continue dividing 90000 by the numbers until the remainder becomes 0.
90000 ÷ 1 = 90000
90000 ÷ 2 = 45000
90000 ÷ 3 = 30000
90000 ÷ 4 = 22500
90000 ÷ 5 = 18000 ... (continue for other divisions)
Therefore, the factors of 90000 include numbers such as 1, 2, 3, 4, 5, 6, 8, 9, 10, and so on.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 90000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
90000 ÷ 2 = 45000
45000 ÷ 2 = 22500
22500 ÷ 2 = 11250
11250 ÷ 2 = 5625
5625 ÷ 3 = 1875
1875 ÷ 3 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 90000 are 2, 3, and 5. The prime factorization of 90000 is: 24 × 32 × 54.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 90000 is divided by 2 to get 45000.
Step 2: Now divide 45000 by 2 to get 22500.
Step 3: Then divide 22500 by 2 to get 11250.
Step 4: Divide 11250 by 2 to get 5625.
Step 5: Divide 5625 by 3 to get 1875.
Step 6: Divide 1875 by 3 to get 625.
Step 7: Divide 625 by 5 to get 125.
Step 8: Divide 125 by 5 to get 25.
Step 9: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 90000 is: 24 × 32 × 54.
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 90000: (1, 90000), (2, 45000), (3, 30000), (4, 22500), (5, 18000), etc.
- Negative factor pairs of 90000: (-1, -90000), (-2, -45000), (-3, -30000), (-4, -22500), (-5, -18000), etc.
Common Mistakes and How to Avoid Them in Factors of 90000
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 90000, 1 and 90000 are also factors.
Factors of 90000 Examples
Problem 1
There are 9 teams and 90000 tickets. How will they divide it equally?
They will get 10000 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of teams.
90000/9 = 10000
Problem 2
A piece of land is rectangular, the length of the land is 180 meters and the total area is 90000 square meters. Find the width?
500 meters.
Explanation
To find the width of the land, we use the formula,
Area = length × width
90000 = 180 × width
To find the value of width, we need to shift 180 to the left side.
90000/180 = width
Width = 500.
Problem 3
There are 15 storage units and 90000 products. How many products will be in each unit?
Each unit will have 6000 products.
Explanation
To find the products in each unit, divide the total products by the units.
90000/15 = 6000
Problem 4
A community has 90000 residents and 225 groups. How many residents are there in each group?
There are 400 residents in each group.
Explanation
Dividing the residents by the total groups, we will get the number of residents in each group.
90000/225 = 400
Problem 5
90000 books need to be arranged in 900 shelves. How many books will go on each shelf?
Each of the shelves has 100 books.
Explanation
Divide total books by shelves.
90000/900 = 100
FAQs on Factors of 90000
1.What are the factors of 90000?
2.Mention the prime factors of 90000.
3.Is 90000 a multiple of 4?
4.Mention the factor pairs of 90000?
5.What is the square of 90000?
6.How can children in Singapore use numbers in everyday life to understand Factors of 90000?
7.What are some fun ways kids in Singapore can practice Factors of 90000 with numbers?
8.What role do numbers and Factors of 90000 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 90000 skills?
Important Glossaries for Factor of 90000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 90000 include numbers such as 1, 2, 3, 4, 5, 6, etc.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 5 are prime factors of 90000.
- 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 90000 are (1, 90000), (2, 45000), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 90000 is 24 × 32 × 54.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 3 × 30000 = 90000.
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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
: She loves to read number jokes and games.
