113 LearnersLast updated on May 26th, 2025
Factors of 4400
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 4400, how they are used in real life, and tips to learn them quickly.
What are the Factors of 4400?
The numbers that divide 4400 evenly are known as factors of 4400.
A factor of 4400 is a number that divides the number without remainder.
The factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, and 4400.
Negative factors of 4400: -1, -2, -4, -5, -8, -10, -11, -20, -22, -25, -40, -44, -50, -55, -80, -88, -100, -110, -200, -220, -275, -400, -440, -550, -880, -1100, -2200, and -4400.
Prime factors of 4400: 2, 5, and 11.
Prime factorization of 4400: 24 × 52 × 11.
The sum of factors of 4400: 1 + 2 + 4 + 5 + 8 + 10 + 11 + 20 + 22 + 25 + 40 + 44 + 50 + 55 + 80 + 88 + 100 + 110 + 200 + 220 + 275 + 400 + 440 + 550 + 880 + 1100 + 2200 + 4400 = 13312
How to Find Factors of 4400?
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 4400. Identifying the numbers which are multiplied to get the number 4400 is the multiplication method.
Step 1: Multiply 4400 by 1, 4400 × 1 = 4400.
Step 2: Check for other numbers that give 4400 after multiplying
2 × 2200 = 4400
4 × 1100 = 4400
5 × 880 = 4400
8 × 550 = 4400
10 × 440 = 4400
11 × 400 = 4400
20 × 220 = 4400
22 × 200 = 4400
25 × 176 = 4400
40 × 110 = 4400
44 × 100 = 4400
50 × 88 = 4400
55 × 80 = 4400
Therefore, the positive factor pairs of 4400 are: (1, 4400), (2, 2200), (4, 1100), (5, 880), (8, 550), (10, 440), (11, 400), (20, 220), (22, 200), (25, 176), (40, 110), (44, 100), (50, 88), (55, 80).
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 the simple division method
Step 1: Divide 4400 by 1, 4400 ÷ 1 = 4400.
Step 2: Continue dividing 4400 by the numbers until the remainder becomes 0.
4400 ÷ 1 = 4400
4400 ÷ 2 = 2200
4400 ÷ 4 = 1100
4400 ÷ 5 = 880
4400 ÷ 8 = 550
4400 ÷ 10 = 440
4400 ÷ 11 = 400
4400 ÷ 20 = 220
4400 ÷ 22 = 200
4400 ÷ 25 = 176
4400 ÷ 40 = 110
4400 ÷ 44 = 100
4400 ÷ 50 = 88
4400 ÷ 55 = 80
Therefore, the factors of 4400 are: 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, and 4400.
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 4400 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
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 4400 are 2, 5, and 11.
The prime factorization of 4400 is: 24 × 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, 4400 is divided by 2 to get 2200.
Step 2: Now divide 2200 by 2 to get 1100.
Step 3: Then divide 1100 by 2 to get 550.
Step 4: Divide 550 by 2 to get 275.
Step 5: Divide 275 by 5 to get 55.
Step 6: Divide 55 by 5 to get 11.
Step 7: Divide 11 by 11 to get 1. Here, 11 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 4400 is: 24 × 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 4400: (1, 4400), (2, 2200), (4, 1100), (5, 880), (8, 550), (10, 440), (11, 400), (20, 220), (22, 200), (25, 176), (40, 110), (44, 100), (50, 88), (55, 80).
Negative factor pairs of 4400: (-1, -4400), (-2, -2200), (-4, -1100), (-5, -880), (-8, -550), (-10, -440), (-11, -400), (-20, -220), (-22, -200), (-25, -176), (-40, -110), (-44, -100), (-50, -88), (-55, -80).
Common Mistakes and How to Avoid Them in Factors of 4400
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 4400, 1 and 4400 is also a factor.
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 4400 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fraction also as a fraction. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 4400/1.5 = 2933.333, and it 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 4400 are prime numbers. For example, 2, 5, and 11 are the prime factors of 4400, but it has other factors like 4, 10, 20, etc.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up in writing wrong factors.
For example, not breaking 4400 as 24 × 52 × 11 and missing all the key factors.
Factors of 4400 Examples
Problem 1
There are 10 people and 4400 candies. How will they divide it equally?
They will get 440 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of people.
4400/10 = 440
Problem 2
A hall is rectangular, the length of the hall is 50 meters and the total area is 4400 square meters. Find the width?
88 meters.
Explanation
To find the width of the hall, we use the formula, Area = length × width
4400 = 50 × width
To find the value of width, we need to shift 50 to the left side.
4400/50 = width
Width = 88.
Problem 3
There are 20 boxes and 4400 marbles. How many marbles will be in each box?
Each box will have 220 marbles.
Explanation
To find the marbles in each box, divide the total marbles by the boxes.
4400/20 = 220
Problem 4
In a concert, there are 4400 attendees, and 11 sections. How many attendees are there in each section?
There are 400 attendees in each section.
Explanation
Dividing the attendees with the total sections, we will get the number of attendees in each section.
4400/11 = 400
Problem 5
4400 stickers need to be arranged in 40 albums. How many stickers will go on each album?
Each of the albums has 110 stickers.
Explanation
Divide total stickers with albums.
4400/40 = 110
FAQs on Factors of 4400
1.What are the factors of 4400?
2.Mention the prime factors of 4400.
3.Is 4400 a multiple of 4?
4.Mention the factor pairs of 4400?
5.What is the square of 4400?
6.How can children in India use numbers in everyday life to understand Factors of 4400?
7.What are some fun ways kids in India can practice Factors of 4400 with numbers?
8.What role do numbers and Factors of 4400 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 4400 skills?
Important Glossaries for Factor of 4400
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 4400 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 80, 88, 100, 110, 200, 220, 275, 400, 440, 550, 880, 1100, 2200, and 4400.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 11 are prime factors of 4400.
- 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 4400 are (1, 4400), (2, 2200), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 4400 is 24 × 52 × 11.
- Division method: A method to find factors by dividing the number until the remainder is zero. For example, dividing 4400 by 2, 4, etc., until all factors are found.
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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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