101 LearnersLast updated on May 26th, 2025
Factors of 8800
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 8800, how they are used in real life, and tips to learn them quickly.
What are the Factors of 8800?
The numbers that divide 8800 evenly are known as factors of 8800.
A factor of 8800 is a number that divides the number without remainder.
The factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, and 8800.
Negative factors of 8800: -1, -2, -4, -5, -8, -10, -11, -16, -20, -22, -25, -32, -40, -44, -50, -55, -80, -88, -100, -110, -160, -176, -200, -220, -275, -320, -352, -400, -440, -550, -800, -880, -1100, -1760, -2200, -4400, and -8800.
Prime factors of 8800: 2, 5, and 11.
Prime factorization of 8800: 25 × 52 × 11.
The sum of factors of 8800: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 16 + 20 + 22 + 25 + 32 + 40 + 44 + 50 + 55 + 80 + 88 + 100 + 110 + 160 + 176 + 200 + 220 + 275 + 320 + 352 + 400 + 440 + 550 + 800 + 880 + 1100 + 1760 + 2200 + 4400 + 8800 = 23760
How to Find Factors of 8800?
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 8800. Identifying the numbers which are multiplied to get the number 8800 is the multiplication method.
Step 1: Multiply 8800 by 1, 8800 × 1 = 8800.
Step 2: Check for other numbers that give 8800 after multiplying
2 × 4400 = 8800
4 × 2200 = 8800
5 × 1760 = 8800
8 × 1100 = 8800
10 × 880 = 8800
11 × 800 = 8800
20 × 440 = 8800
25 × 352 = 8800
32 × 275 = 8800
40 × 220 = 8800
44 × 200 = 8800
50 × 176 = 8800
55 × 160 = 8800
80 × 110 = 8800
Therefore, the positive factor pairs of 8800 are: (1, 8800), (2, 4400), (4, 2200), (5, 1760), (8, 1100), (10, 880), (11, 800), (20, 440), (25, 352), (32, 275), (40, 220), (44, 200), (50, 176), (55, 160), (80, 110).
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 8800 by 1, 8800 ÷ 1 = 8800.
Step 2: Continue dividing 8800 by the numbers until the remainder becomes 0.
8800 ÷ 1 = 8800
8800 ÷ 2 = 4400
8800 ÷ 4 = 2200
8800 ÷ 5 = 1760
8800 ÷ 8 = 1100
8800 ÷ 10 = 880
8800 ÷ 11 = 800
Therefore, the factors of 8800 are: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800.
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 8800 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
8800 ÷ 2 = 4400
4400 ÷ 2 = 2200
2200 ÷ 2 = 1100
1100 ÷ 2 = 550
550 ÷ 2 = 275
275 ÷ 5 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 8800 are 2, 5, and 11.
The prime factorization of 8800 is: 25 × 52 × 11.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 8800 is divided by 2 to get 4400.
Step 2: Now divide 4400 by 2 to get 2200.
Step 3: Then divide 2200 by 2 to get 1100.
Step 4: Divide 1100 by 2 to get 550.
Step 5: Divide 550 by 2 to get 275.
Step 6: Divide 275 by 5 to get 55.
Step 7: Divide 55 by 5 to get 11. Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 8800 is: 25 × 52 × 11.
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 8800: (1, 8800), (2, 4400), (4, 2200), (5, 1760), (8, 1100), (10, 880), (11, 800), (20, 440), (25, 352), (32, 275), (40, 220), (44, 200), (50, 176), (55, 160), (80, 110).
Negative factor pairs of 8800: (-1, -8800), (-2, -4400), (-4, -2200), (-5, -1760), (-8, -1100), (-10, -880), (-11, -800), (-20, -440), (-25, -352), (-32, -275), (-40, -220), (-44, -200), (-50, -176), (-55, -160), (-80, -110).
Common Mistakes and How to Avoid Them in Factors of 8800
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 word. Always remember to include 1 and the number itself.
For example, in factors of 8800, 1 and 8800 are also factors.
Factors of 8800 Examples
Problem 1
There are 11 teachers and 8800 notebooks. How will they distribute them equally?
They will get 800 notebooks each.
Explanation
To distribute the notebooks equally, we need to divide the total notebooks by the number of teachers.
8800/11 = 800
Problem 2
A rectangular garden has a length of 40 meters and a total area of 8800 square meters. Find the width?
220 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
8800 = 40 × width
To find the value of width, we need to shift 40 to the left side.
8800/40 = width
Width = 220.
Problem 3
There are 32 boxes and 8800 candies. How many candies will be in each box?
Each box will have 275 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
8800/32 = 275
Problem 4
In a conference, there are 8800 participants and 50 groups. How many participants are there in each group?
There are 176 participants in each group.
Explanation
Dividing the participants with the total groups, we will get the number of participants in each group.
8800/50 = 176
Problem 5
8800 books need to be arranged in 20 shelves. How many books will go on each shelf?
Each of the shelves has 440 books.
Explanation
Divide total books with shelves.
8800/20 = 440
FAQs on Factors of 8800
1.What are the factors of 8800?
2.Mention the prime factors of 8800.
3.Is 8800 a multiple of 40?
4.Mention the factor pairs of 8800?
5.What is the square of 8800?
6.How can children in Indonesia use numbers in everyday life to understand Factors of 8800?
7.What are some fun ways kids in Indonesia can practice Factors of 8800 with numbers?
8.What role do numbers and Factors of 8800 play in helping children in Indonesia develop problem-solving skills?
9.How can families in Indonesia create number-rich environments to improve Factors of 8800 skills?
Important Glossaries for Factors of 8800
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 320, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, and 8800.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 11 are prime factors of 8800.
- 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 8800 are (1, 8800), (2, 4400), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, 2 × 4400 = 8800.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 8800 is 25 × 52 × 11.
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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.
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