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Last updated on May 26th, 2025

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Factors of 4400

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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.

Factors of 4400 for Thai Students
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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

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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
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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.

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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.

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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.

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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).

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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

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Forgetting the number itself and 1 is a factor

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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.

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Factors of 4400 Examples

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Problem 1

There are 10 people and 4400 candies. How will they divide it equally?

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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

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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?

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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.

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Problem 3

There are 20 boxes and 4400 marbles. How many marbles will be in each box?

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Each box will have 220 marbles.

Explanation

To find the marbles in each box, divide the total marbles by the boxes.

4400/20 = 220

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Problem 4

In a concert, there are 4400 attendees, and 11 sections. How many attendees are there in each section?

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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

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Problem 5

4400 stickers need to be arranged in 40 albums. How many stickers will go on each album?

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Each of the albums has 110 stickers.

Explanation

Divide total stickers with albums.

4400/40 = 110

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FAQs on Factors of 4400

1.What are the factors of 4400?

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2.Mention the prime factors of 4400.

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3.Is 4400 a multiple of 4?

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4.Mention the factor pairs of 4400?

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5.What is the square of 4400?

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6.How can children in Thailand use numbers in everyday life to understand Factors of 4400?

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7.What are some fun ways kids in Thailand can practice Factors of 4400 with numbers?

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8.What role do numbers and Factors of 4400 play in helping children in Thailand develop problem-solving skills?

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9.How can families in Thailand create number-rich environments to improve Factors of 4400 skills?

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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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About BrightChamps in Thailand

At BrightChamps, numbers are more than just figures—they open doors to endless possibilities! We support children all across Thailand in developing key math skills, focusing today on Factors of 4400 with a special emphasis on factors—in an exciting, accessible, and fun way. Whether your child is figuring out the speed of a roller coaster at Dream World, keeping score at local football matches, or managing their allowance for the latest gadgets, knowing numbers builds their everyday confidence. Our interactive lessons make learning easy and enjoyable. Because kids in Thailand have unique learning styles, we tailor our approach to fit each child. From bustling Bangkok streets to the tropical islands of Phuket, BrightChamps makes math come alive all over Thailand. Let’s turn factors into a fun part of every child’s learning journey!
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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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Fun Fact

: She loves to read number jokes and games.

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