100 LearnersLast updated on May 26th, 2025
Factors of 880
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 880, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 880?
The numbers that divide 880 evenly are known as factors of 880.
A factor of 880 is a number that divides the number without remainder.
The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880.
Negative factors of 880: -1, -2, -4, -5, -8, -10, -11, -16, -20, -22, -40, -44, -55, -80, -88, -110, -176, -220, -440, and -880.
Prime factors of 880: 2, 5, and 11.
Prime factorization of 880: 24 × 5 × 11.
The sum of factors of 880: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 16 + 20 + 22 + 40 + 44 + 55 + 80 + 88 + 110 + 176 + 220 + 440 + 880 = 2640
How to Find Factors of 880?
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 880. Identifying the numbers that are multiplied to get the number 880 is the multiplication method.
Step 1: Multiply 880 by 1, 880 × 1 = 880.
Step 2: Check for other numbers that give 880 after multiplying
2 × 440 = 880
4 × 220 = 880
5 × 176 = 880
8 × 110 = 880
10 × 88 = 880
11 × 80 = 880
16 × 55 = 880
20 × 44 = 880
22 × 40 = 880
Therefore, the positive factor pairs of 880 are: (1, 880), (2, 440), (4, 220), (5, 176), (8, 110), (10, 88), (11, 80), (16, 55), (20, 44), and (22, 40).
All these factor pairs result in 880.
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 880 by 1, 880 ÷ 1 = 880.
Step 2: Continue dividing 880 by the numbers until the remainder becomes 0.
880 ÷ 1 = 880
880 ÷ 2 = 440
880 ÷ 4 = 220
880 ÷ 5 = 176
880 ÷ 8 = 110
880 ÷ 10 = 88
880 ÷ 11 = 80
880 ÷ 16 = 55
880 ÷ 20 = 44
880 ÷ 22 = 40
Therefore, the factors of 880 are: 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 880 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
880 ÷ 2 = 440
440 ÷ 2 = 220
220 ÷ 2 = 110
110 ÷ 2 = 55
55 ÷ 5 = 11
11 ÷ 11 = 1
The prime factors of 880 are 2, 5, and 11.
The prime factorization of 880 is: 24 × 5 × 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, 880 is divided by 2 to get 440.
Step 2: Now divide 440 by 2 to get 220.
Step 3: Then divide 220 by 2 to get 110.
Step 4: Divide 110 by 2 to get 55.
Step 5: Divide 55 by 5 to get 11. Here, 11 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 880 is: 24 × 5 × 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 880: (1, 880), (2, 440), (4, 220), (5, 176), (8, 110), (10, 88), (11, 80), (16, 55), (20, 44), and (22, 40).
Negative factor pairs of 880: (-1, -880), (-2, -440), (-4, -220), (-5, -176), (-8, -110), (-10, -88), (-11, -80), (-16, -55), (-20, -44), and (-22, -40).
Common Mistakes and How to Avoid Them in Factors of 880
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 880, 1 and 880 is also a factor.
Factors of 880 Examples
Problem 1
There are 22 teams and 880 tickets. How will they divide it equally?
They will get 40 tickets each.
Explanation
To divide the tickets equally, we need to divide the total tickets by the number of teams.
880 ÷ 22 = 40
Problem 2
A garden is rectangular, the length of the garden is 11 meters and the total area is 880 square meters. Find the width?
80 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
880 = 11 × width
To find the value of width, we need to shift 11 to the left side.
880 ÷ 11 = width
Width = 80.
Problem 3
There are 16 sections and 880 participants. How many participants will be in each section?
Each section will have 55 participants.
Explanation
To find the participants in each section, divide the total participants by the sections.
880 ÷ 16 = 55
Problem 4
In a school, there are 880 students, and 5 buses. How many students are there in each bus?
There are 176 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
880 ÷ 5 = 176
Problem 5
880 books need to be arranged in 8 shelves. How many books will go on each shelf?
Each of the shelves has 110 books.
Explanation
Divide total books by shelves.
880 ÷ 8 = 110
FAQs on Factors of 880
1.What are the factors of 880?
2.Mention the prime factors of 880.
3.Is 880 a multiple of 11?
4.Mention the factor pairs of 880?
5.What is the square of 880?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 880?
7.What are some fun ways kids in Bahrain can practice Factors of 880 with numbers?
8.What role do numbers and Factors of 880 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 880 skills?
Important Glossaries for Factors of 880
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, and 880.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 11 are prime factors of 880.
- 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 880 are (1, 880), (2, 440), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 880 is 24 × 5 × 11.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to give the original number.
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About BrightChamps in Bahrain
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.
