102 LearnersLast updated on May 26th, 2025
Factors of 20000
Factors are 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 20000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 20000?
The numbers that divide 20000 evenly are known as factors of 20000. A factor of 20000 is a number that divides the number without a remainder.
The factors of 20000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 4000, 5000, 10000, and 20000.
Negative factors of 20000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -160, -200, -250, -400, -500, -625, -800, -1000, -1250, -2000, -2500, -4000, -5000, -10000, and -20000.
Prime factors of 20000: 2 and 5
Prime factorization of 20000: (25 times 54).
The sum of factors of 20000: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 160 + 200 + 250 + 400 + 500 + 625 + 800 + 1000 + 1250 + 2000 + 2500 + 4000 + 5000 + 10000 + 20000 = 46560.
How to Find Factors of 20000?
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 pairs of numbers that multiply to give 20000. Identifying the numbers which are multiplied to get the number 20000 is the multiplication method.
Step 1: Multiply 20000 by 1, (20000 times 1 = 20000).
Step 2: Check for other numbers that give 20000 after multiplying
Therefore, the positive factor pairs of 20000 are: (1, 20000), (2, 10000), (4, 5000), (5, 4000), (8, 2500), (10, 2000), (16, 1250), (20, 1000), (25, 800), (40, 500), (50, 400), (80, 250), (100, 200), (125, 160). 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 numbers that result in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 20000 by 1, (20000 div 1 = 20000).
Step 2: Continue dividing 20000 by the numbers until the remainder becomes 0.
- (20000 div 1 = 20000)
- (20000 div 2 = 10000)
- (20000 div 4 = 5000)
- (20000 div 5 = 4000)
- (20000 div 8 = 2500)
- (20000 div 10 = 2000)
- (20000 div 16 = 1250)
- (20000 div 20 = 1000)
- (20000 div 25 = 800)
- (20000 div 40 = 500)
- (20000 div 50 = 400)
- (20000 div 80 = 250)
- (20000 div 100 = 200)
- (20000 div 125 = 160)
Therefore, the factors of 20000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 4000, 5000, 10000, 20000.
Prime Factors and Prime Factorization
The factors can be found by dividing the number with 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 20000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
- (20000 div 2 = 10000)
- (10000 div 2 = 5000)
- (5000 div 2 = 2500)
- (2500 div 2 = 1250)
- (1250 div 2 = 625)
- (625 div 5 = 125)
- (125 div 5 = 25)
- (25 div 5 = 5)
- (5 div 5 = 1)
The prime factors of 20000 are 2 and 5.
The prime factorization of 20000 is: (25 times 54).
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show:
Step 1: Firstly, 20000 is divided by 2 to get 10000.
Step 2: Now divide 10000 by 2 to get 5000.
Step 3: Then divide 5000 by 2 to get 2500.
Step 4: Divide 2500 by 2 to get 1250.
Step 5: Divide 1250 by 2 to get 625. Here, 625 is further divided by 5 repeatedly until the remainder becomes 1. So, the prime factorization of 20000 is: (25 times 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 20000: (1, 20000), (2, 10000), (4, 5000), (5, 4000), (8, 2500), (10, 2000), (16, 1250), (20, 1000), (25, 800), (40, 500), (50, 400), (80, 250), (100, 200), (125, 160).
Negative factor pairs of 20000: (-1, -20000), (-2, -10000), (-4, -5000), (-5, -4000), (-8, -2500), (-10, -2000), (-16, -1250), (-20, -1000), (-25, -800), (-40, -500), (-50, -400), (-80, -250), (-100, -200), (-125, -160).
Common Mistakes and How to Avoid Them in Factors of 20000
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 20000, 1 and 20000 are also factors.
Factors of 20000 Examples
Problem 1
A factory produces 20000 widgets. How can the widgets be packed equally into 500 boxes?
Each box will have 40 widgets.
Explanation
To pack the widgets equally, divide the total widgets by the number of boxes.
(20000 div 500 = 40).
Problem 2
A rectangular field has an area of 20000 square meters with a length of 100 meters. What is the width?
200 meters.
Explanation
To find the width of the field, use the formula,
Area = length × width (20000 = 100 times text{width})
To find the value of width, rearrange the equation.
(20000 div 100 = text{width})
Width = 200.
Problem 3
A school has 20000 pencils to be distributed equally among 250 students. How many pencils will each student receive?
Each student will receive 80 pencils.
Explanation
To find the pencils each student receives, divide the total pencils by the number of students.
(20000 div 250 = 80).
Problem 4
A farmer has a 20000-meter long fence to build around a square field. What is the length of one side of the field?
5000 meters.
Explanation
For a square field, the perimeter is 4 times the side length. (20000 div 4 = 5000).
Problem 5
A library needs to arrange 20000 books into 1000 shelves. How many books will go on each shelf?
Each shelf will have 20 books.
Explanation
Divide the total number of books by the number of shelves.
(20000 div 1000 = 20).
FAQs on Factors of 20000
1.What are the factors of 20000?
2.Mention the prime factors of 20000.
3.Is 20000 a multiple of 5?
4.Mention the factor pairs of 20000?
5.What is the square of 20000?
6.How can children in Singapore use numbers in everyday life to understand Factors of 20000?
7.What are some fun ways kids in Singapore can practice Factors of 20000 with numbers?
8.What role do numbers and Factors of 20000 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 20000 skills?
Important Glossaries for Factors of 20000
Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 20000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 4000, 5000, 10000, and 20000.
Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 20000.
Prime factorization: Breaking down a number into the product of its prime factors. For example, the prime factorization of 20000 is (25 times 54).
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 20000 are (1, 20000), (2, 10000), etc.
Perimeter: The total length around a two-dimensional shape. For example, the perimeter of a square with side length 5000 meters is 20000 meters.
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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
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