159 LearnersLast updated on May 26th, 2025
Factors of 100000
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 100000, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 100000?
The numbers that divide 100000 evenly are known as factors of 100000. A factor of 100000 is a number that divides the number without remainder.
The factors of 100000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000, 20000, 25000, 50000, and 100000.
Negative factors of 100000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -200, -250, -400, -500, -625, -1000, -1250, -2000, -2500, -5000, -10000, -20000, -25000, -50000, and -100000.
Prime factors of 100000: 2 and 5.
Prime factorization of 100000: 25 × 55.
The sum of factors of 100000: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 40 + 50 + 80 + 100 + 125 + 200 + 250 + 400 + 500 + 625 + 1000 + 1250 + 2000 + 2500 + 5000 + 10000 + 20000 + 25000 + 50000 + 100000 = 248043
How to Find Factors of 100000?
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 100000. Identifying the numbers which are multiplied to get the number 100000 is the multiplication method.
Step 1: Multiply 100000 by 1, 100000 × 1 = 100000.
Step 2: Check for other numbers that give 100000 after multiplying
2 × 50000 = 100000
4 × 25000 = 100000
5 × 20000 = 100000
8 × 12500 = 100000
10 × 10000 = 100000
Therefore, the positive factor pairs of 100000 are: (1, 100000), (2, 50000), (4, 25000), (5, 20000), (8, 12500), (10, 10000), etc. 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 a simple division method -
Step 1: Divide 100000 by 1, 100000 ÷ 1 = 100000.
Step 2: Continue dividing 100000 by the numbers until the remainder becomes 0.
100000 ÷ 1 = 100000
100000 ÷ 2 = 50000
100000 ÷ 4 = 25000
100000 ÷ 5 = 20000
100000 ÷ 8 = 12500
100000 ÷ 10 = 10000
Therefore, the factors of 100000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 625, 1000, 1250, 2000, 2500, 5000, 10000, 20000, 25000, 50000, 100000.
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 100000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
100000 ÷ 2 = 50000
50000 ÷ 2 = 25000
25000 ÷ 2 = 12500
12500 ÷ 2 = 6250
6250 ÷ 2 = 3125
3125 ÷ 5 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 100000 are 2 and 5. The prime factorization of 100000 is: 25 × 55.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 100000 is divided by 2 to get 50000.
Step 2: Now divide 50000 by 2 to get 25000.
Step 3: Then divide 25000 by 2 to get 12500.
Step 4: Divide 12500 by 2 to get 6250.
Step 5: Divide 6250 by 2 to get 3125.
Here, 3125 is divided by 5 continuously until the remainder becomes 1. So, the prime factorization of 100000 is: 25 × 55.
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 100000: (1, 100000), (2, 50000), (4, 25000), (5, 20000), (8, 12500), (10, 10000), etc.
- Negative factor pairs of 100000: (-1, -100000), (-2, -50000), (-4, -25000), (-5, -20000), (-8, -12500), (-10, -10000), etc.
Common Mistakes and How to Avoid Them in Factors of 100000
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
People 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 100000, 1 and 100000 are also factors.
Factors of 100000 Examples
Problem 1
A company has 100000 brochures to distribute evenly among 10 branches. How many brochures will each branch receive?
Each branch will receive 10000 brochures.
Explanation
To divide the brochures equally, we need to divide the total brochures by the number of branches.
100000/10 = 10000
Problem 2
A rectangular plot has a length of 250 meters and a total area of 100000 square meters. What is the width of the plot?
400 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
100000 = 250 × width
To find the value of width, divide 100000 by 250.
100000/250 = width
Width = 400.
Problem 3
A factory produces 100000 widgets and packs them into containers of 1000 widgets each. How many containers are needed?
100 containers are needed.
Explanation
To find the number of containers needed, divide the total widgets by the number of widgets per container.
100000/1000 = 100
Problem 4
A school has 100000 pencils to distribute among 500 classrooms. How many pencils will each classroom receive?
Each classroom will receive 200 pencils.
Explanation
Dividing the pencils by the total number of classrooms, we find the number of pencils each classroom receives.
100000/500 = 200
Problem 5
A bookstore has 100000 books to arrange in 400 shelves. How many books will go on each shelf?
Each shelf will have 250 books.
Explanation
Divide the total books by the number of shelves.
100000/400 = 250
FAQs on Factors of 100000
1.What are the factors of 100000?
2.Mention the prime factors of 100000.
3.Is 100000 a multiple of 25?
4.Mention the factor pairs of 100000?
5.What is the square of 100000?
6.How can children in Singapore use numbers in everyday life to understand Factors of 100000?
7.What are some fun ways kids in Singapore can practice Factors of 100000 with numbers?
8.What role do numbers and Factors of 100000 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 100000 skills?
Important Glossaries for Factors of 100000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 100000 are 1, 2, 4, 5, 8, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 100000.
- 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 100000 are (1, 100000), (2, 50000), 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 original number by whole numbers until the remainder is zero.
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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.
