127 LearnersLast updated on May 26th, 2025
Factors of 40000
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 40000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 40000?
The numbers that divide 40000 evenly are known as factors of 40000.
A factor of 40000 is a number that divides the number without remainder.
The factors of 40000 are numerous, but some key ones include 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 800, 1000, 2000, 2500, 4000, 5000, 8000, 10000, 20000, and 40000.
Negative factors of 40000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -40, -50, -80, -100, -125, -200, -250, -400, -500, -800, -1000, -2000, -2500, -4000, -5000, -8000, -10000, -20000, and -40000.
Prime factors of 40000: 2 and 5.
Prime factorization of 40000: 26 × 54.
How to Find Factors of 40000?
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 40000. Identifying the numbers which are multiplied to get the number 40000 is the multiplication method.
Step 1: Multiply 40000 by 1, 40000 × 1 = 40000
Step 2: Check for other numbers that give 40000 after multiplying
2 × 20000 = 40000
4 × 10000 = 40000
5 × 8000 = 40000
8 × 5000 = 40000
10 × 4000 = 40000
Therefore, the positive factor pairs of 40000 include: (1, 40000), (2, 20000), (4, 10000), (5, 8000), (8, 5000), (10, 4000), etc. 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 40000 by 1, 40000 ÷ 1 = 40000.
Step 2: Continue dividing 40000 by the numbers until the remainder becomes 0.
40000 ÷ 1 = 40000
40000 ÷ 2 = 20000
40000 ÷ 4 = 10000
40000 ÷ 5 = 8000
40000 ÷ 8 = 5000
Therefore, the factors of 40000 include 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 125, 200, 250, 400, 500, 800, 1000, 2000, 2500, 4000, 5000, 8000, 10000, 20000, and 40000.
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 40000 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
40000 ÷ 2 = 20000
20000 ÷ 2 = 10000
10000 ÷ 2 = 5000
5000 ÷ 2 = 2500
2500 ÷ 2 = 1250
1250 ÷ 2 = 625
625 ÷ 5 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 40000 are 2 and 5.
The prime factorization of 40000 is: 26 × 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, 40000 is divided by 2 to get 20000.
Step 2: Now divide 20000 by 2 to get 10000.
Step 3: Then divide 10000 by 2 to get 5000.
Step 4: Divide 5000 by 2 to get 2500.
Step 5: Divide 2500 by 2 to get 1250.
Step 6: Divide 1250 by 2 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 cannot be divided anymore as it is a prime number. So, the prime factorization of 40000 is: 26 × 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 40000: (1, 40000), (2, 20000), (4, 10000), (5, 8000), (8, 5000), (10, 4000), etc.
Negative factor pairs of 40000: (-1, -40000), (-2, -20000), (-4, -10000), (-5, -8000), (-8, -5000), (-10, -4000), etc.
Common Mistakes and How to Avoid Them in Factors of 40000
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 40000, 1 and 40000 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 40000 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 40000/1.5 is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 40000 are prime numbers. For example, 2 and 5 are the prime factors of 40000, but it has other factors like 8, 10.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 40000 as 2^6 × 5^4 and missing all the key factors.
Factors of 40000 Examples
Problem 1
There are 4 buses and 40000 passengers. How will they distribute the passengers equally?
They will get 10000 passengers each.
Explanation
To divide the passengers equally, we need to divide the total passengers by the number of buses.
40000/4 = 10000
Problem 2
A rectangular garden has a length of 200 meters and a total area of 40000 square meters. Find the width.
200 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
40000 = 200 × width
To find the value of width, we divide 40000 by 200.
40000/200 = width
Width = 200.
Problem 3
A warehouse contains 50 pallets and 40000 items. How many items will be on each pallet?
Each pallet will have 800 items.
Explanation
To find the items on each pallet, divide the total items by the pallets.
40000/50 = 800
Problem 4
In a concert, there are 40000 attendees and 200 sections. How many attendees are there in each section?
There are 200 attendees in each section.
Explanation
Dividing the attendees by the total sections, we will get the number of attendees in each section.
40000/200 = 200
Problem 5
40000 bricks need to be arranged in 8 rows. How many bricks will go in each row?
Each row will have 5000 bricks.
Explanation
Divide total bricks by rows.
40000/8 = 5000
FAQs on Factors of 40000
1.What are the factors of 40000?
2.Mention the prime factors of 40000.
3.Is 40000 a multiple of 25?
4.Mention the factor pairs of 40000.
5.What is the square of 40000?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 40000?
7.What are some fun ways kids in Vietnam can practice Factors of 40000 with numbers?
8.What role do numbers and Factors of 40000 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 40000 skills?
Important Glossaries for Factor of 40000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 40000 include 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, etc.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 40000.
- 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 40000 include (1, 40000), (2, 20000), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 40000 is 26 × 54.
- Negative factors: Factors of a number that are negative. For example, -1, -2, -4, -5, -8, etc., are negative factors of 40000.
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About BrightChamps in Vietnam
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.
