100 LearnersLast updated on May 26th, 2025
Factors of 8000
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 8000, how they are used in real life, and tips to learn them quickly.
What are the Factors of 8000?
The numbers that divide 8000 evenly are known as factors of 8000.
A factor of 8000 is a number that divides the number without remainder.
The factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Negative factors of 8000: -1, -2, -4, -5, -8, -10, -16, -20, -25, -32, -40, -50, -64, -80, -100, -125, -160, -200, -250, -320, -400, -500, -800, -1000, -1600, -2000, -4000, -8000.
Prime factors of 8000: 2 and 5. Prime factorization of 8000: 26 × 53.
The sum of factors of 8000: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 64 + 80 + 100 + 125 + 160 + 200 + 250 + 320 + 400 + 500 + 800 + 1000 + 1600 + 2000 + 4000 + 8000 = 20493
How to Find Factors of 8000?
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 8000. Identifying the numbers which are multiplied to get the number 8000 is the multiplication method.
Step 1: Multiply 8000 by 1, 8000 × 1 = 8000.
Step 2: Check for other numbers that give 8000 after multiplying
2 × 4000 = 8000
4 × 2000 = 8000
5 × 1600 = 8000
8 × 1000 = 8000
10 × 800 = 8000
16 × 500 = 8000
20 × 400 = 8000
25 × 320 = 8000
32 × 250 = 8000
40 × 200 = 8000
50 × 160 = 8000
64 × 125 = 8000
80 × 100 = 8000
Therefore, the positive factor pairs of 8000 are: (1, 8000), (2, 4000), (4, 2000), (5, 1600), (8, 1000), (10, 800), (16, 500), (20, 400), (25, 320), (32, 250), (40, 200), (50, 160), (64, 125), (80, 100).
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 8000 by 1, 8000 ÷ 1 = 8000.
Step 2: Continue dividing 8000 by the numbers until the remainder becomes 0.
8000 ÷ 1 = 8000
8000 ÷ 2 = 4000
8000 ÷ 4 = 2000
8000 ÷ 5 = 1600
8000 ÷ 8 = 1000
8000 ÷ 10 = 800
8000 ÷ 16 = 500
8000 ÷ 20 = 400
8000 ÷ 25 = 320
8000 ÷ 32 = 250
8000 ÷ 40 = 200
8000 ÷ 50 = 160
8000 ÷ 64 = 125
8000 ÷ 80 = 100
Therefore, the factors of 8000 are: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, 8000.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a 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 8000 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
8000 ÷ 2 = 4000
4000 ÷ 2 = 2000
2000 ÷ 2 = 1000
1000 ÷ 2 = 500
500 ÷ 2 = 250
250 ÷ 2 = 125
125 ÷ 5 = 25
25 ÷ 5 = 5
5 ÷ 5 = 1
The prime factors of 8000 are 2 and 5.
The prime factorization of 8000 is: 26 × 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, 8000 is divided by 2 to get 4000.
Step 2: Now divide 4000 by 2 to get 2000.
Step 3: Then divide 2000 by 2 to get 1000.
Step 4: Divide 1000 by 2 to get 500.
Step 5: Divide 500 by 2 to get 250.
Step 6: Divide 250 by 2 to get 125.
Step 7: Divide 125 by 5 to get 25.
Step 8: Divide 25 by 5 to get 5. Here, 5 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 8000 is: 2^6 × 5^3.
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 8000: (1, 8000), (2, 4000), (4, 2000), (5, 1600), (8, 1000), (10, 800), (16, 500), (20, 400), (25, 320), (32, 250), (40, 200), (50, 160), (64, 125), and (80, 100).
Negative factor pairs of 8000: (-1, -8000), (-2, -4000), (-4, -2000), (-5, -1600), (-8, -1000), (-10, -800), (-16, -500), (-20, -400), (-25, -320), (-32, -250), (-40, -200), (-50, -160), (-64, -125), and (-80, -100).
Common Mistakes and How to Avoid Them in Factors of 8000
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 8000, 1 and 8000 are also factors.
Factors of 8000 Examples
Problem 1
There are 10 teams and 8000 points to distribute equally. How many points will each team receive?
Each team will receive 800 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
8000/10 = 800
Problem 2
A rectangular garden has a length of 50 meters and a total area of 8000 square meters. Find the width.
160 meters.
Explanation
To find the width of the garden, use the formula:
Area = length × width
8000 = 50 × width
To find the width, shift 50 to the left side.
8000/50 = width
Width = 160.
Problem 3
There are 25 boxes and 8000 chocolates. How many chocolates will be in each box?
Each box will have 320 chocolates.
Explanation
To find the number of chocolates in each box, divide the total chocolates by the number of boxes.
8000/25 = 320
Problem 4
A company has 8000 shares and wants to distribute them equally among 40 investors. How many shares will each investor receive?
Each investor will receive 200 shares.
Explanation
Divide the total shares by the number of investors.
8000/40 = 200
Problem 5
A warehouse has to store 8000 boxes equally across 20 shelves. How many boxes will go on each shelf?
Each shelf will have 400 boxes.
Explanation
Divide the total boxes by the number of shelves.
8000/20 = 400
FAQs on Factors of 8000
1.What are the factors of 8000?
2.Mention the prime factors of 8000.
3.Is 8000 a multiple of 4?
4.Mention the factor pairs of 8000?
5.What is the square of 8000?
6.How can children in Canada use numbers in everyday life to understand Factors of 8000?
7.What are some fun ways kids in Canada can practice Factors of 8000 with numbers?
8.What role do numbers and Factors of 8000 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 8000 skills?
Important Glossaries for Factor of 8000
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 8000 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 125, 160, 200, 250, 320, 400, 500, 800, 1000, 1600, 2000, 4000, and 8000.
- Prime factors: The factors which are prime numbers. For example, 2 and 5 are prime factors of 8000.
- 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 8000 are (1, 8000), (2, 4000), etc.
- Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 8000 is 26 × 53.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to the given number. For example, using the multiplication method to find factors of 8000.
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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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