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Last updated on May 26th, 2025

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Factors of 2800

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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 2800, how they are used in real life, and tips to learn them quickly.

Factors of 2800 for Thai Students
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What are the Factors of 2800?

The numbers that divide 2800 evenly are known as factors of 2800.

 

A factor of 2800 is a number that divides the number without remainder.

 

The factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, and 2800.

 

Negative factors of 2800: -1, -2, -4, -5, -7, -8, -10, -14, -16, -20, -25, -28, -35, -40, -50, -56, -70, -80, -100, -112, -140, -175, -200, -280, -350, -400, -560, -700, -1400, and -2800.

 

Prime factors of 2800: 2, 5, and 7.

 

Prime factorization of 2800: (24 times 52 times 7).

 

The sum of factors of 2800: 1 + 2 + 4 + 5 + 7 + 8 + 10 + 14 + 16 + 20 + 25 + 28 + 35 + 40 + 50 + 56 + 70 + 80 + 100 + 112 + 140 + 175 + 200 + 280 + 350 + 400 + 560 + 700 + 1400 + 2800 = 8190

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How to Find Factors of 2800?

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
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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 2800. Identifying the numbers which are multiplied to get the number 2800 is the multiplication method.

 

Step 1: Multiply 2800 by 1, 2800 × 1 = 2800.

 

Step 2: Check for other numbers that give 2800 after multiplying:

 

2 × 1400 = 2800

4 × 700 = 2800

5 × 560 = 2800

7 × 400 = 2800

8 × 350 = 2800

10 × 280 = 2800

14 × 200 = 2800

16 × 175 = 2800

20 × 140 = 2800

25 × 112 = 2800

28 × 100 = 2800

35 × 80 = 2800

40 × 70 = 2800

50 × 56 = 2800

 

Therefore, the positive factor pairs of 2800 are: (1, 2800), (2, 1400), (4, 700), (5, 560), (7, 400), (8, 350), (10, 280), (14, 200), (16, 175), (20, 140), (25, 112), (28, 100), (35, 80), (40, 70), (50, 56). 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 in whole numbers as factors. Factors can be calculated by following a simple division method:

 

Step 1: Divide 2800 by 1, 2800 ÷ 1 = 2800.

 

Step 2: Continue dividing 2800 by the numbers until the remainder becomes 0.

 

2800 ÷ 1 = 2800

2800 ÷ 2 = 1400

2800 ÷ 4 = 700

2800 ÷ 5 = 560

2800 ÷ 7 = 400

2800 ÷ 8 = 350

2800 ÷ 10 = 280

2800 ÷ 14 = 200

2800 ÷ 16 = 175

2800 ÷ 20 = 140

2800 ÷ 25 = 112

2800 ÷ 28 = 100

2800 ÷ 35 = 80

2800 ÷ 40 = 70

2800 ÷ 50 = 56

 

Therefore, the factors of 2800 are: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800.

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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 2800 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

 

2800 ÷ 2 = 1400

1400 ÷ 2 = 700

700 ÷ 2 = 350

350 ÷ 2 = 175

175 ÷ 5 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

 

The prime factors of 2800 are 2, 5, and 7.

 

The prime factorization of 2800 is: (24 times 52 times 7).

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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, 2800 is divided by 2 to get 1400.

 

Step 2: Now divide 1400 by 2 to get 700.

 

Step 3: Then divide 700 by 2 to get 350.

 

Step 4: Divide 350 by 2 to get 175.

 

Step 5: Divide 175 by 5 to get 35.

 

Step 6: Divide 35 by 5 to get 7. Here, 7 is the smallest prime number that cannot be divided anymore. So, the prime factorization of 2800 is: (24 times 52 times 7).

 

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 2800: (1, 2800), (2, 1400), (4, 700), (5, 560), (7, 400), (8, 350), (10, 280), (14, 200), (16, 175), (20, 140), (25, 112), (28, 100), (35, 80), (40, 70), (50, 56).

 

Negative factor pairs of 2800: (-1, -2800), (-2, -1400), (-4, -700), (-5, -560), (-7, -400), (-8, -350), (-10, -280), (-14, -200), (-16, -175), (-20, -140), (-25, -112), (-28, -100), (-35, -80), (-40, -70), (-50, -56).

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Common Mistakes and How to Avoid Them in Factors of 2800

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 number. Always remember to include 1 and the number itself.

 

For example, in factors of 2800, 1 and 2800 are also factors.

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Factors of 2800 Examples

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Problem 1

There are 14 friends and 2800 apples. How will they divide them equally?

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They will get 200 apples each.

Explanation

To divide the apples equally, we need to divide the total apples by the number of friends.

 

2800/14 = 200

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Problem 2

A garden is rectangular, the length of the garden is 40 meters and the total area is 2800 square meters. Find the width.

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70 meters.

Explanation

To find the width of the garden, we use the formula,

 

Area = length × width

 

2800 = 40 × width

 

To find the value of width, we need to shift 40 to the left side.

 

2800/40 = width

 

Width = 70.

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Problem 3

There are 56 bags and 2800 candies. How many candies will be in each bag?

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Each bag will have 50 candies.

Explanation

To find the candies in each bag, divide the total candies by the bags.

 

2800/56 = 50

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Problem 4

In a class, there are 2800 students, and 100 groups. How many students are there in each group?

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There are 28 students in each group.

Explanation

Dividing the students by the total groups, we will get the number of students in each group.

 

2800/100 = 28

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Problem 5

2800 books need to be arranged in 400 shelves. How many books will go on each shelf?

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Each of the shelves has 7 books.

Explanation

Divide total books by shelves.

 

2800/400 = 7

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FAQs on Factors of 2800

1.What are the factors of 2800?

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2.Mention the prime factors of 2800.

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3.Is 2800 a multiple of 10?

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4.Mention the factor pairs of 2800?

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5.What is the square of 2800?

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6.How can children in Thailand use numbers in everyday life to understand Factors of 2800?

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7.What are some fun ways kids in Thailand can practice Factors of 2800 with numbers?

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8.What role do numbers and Factors of 2800 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 2800 skills?

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Professor Greenline from BrightChamps

Important Glossaries for Factors of 2800

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, and 2800.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 2800.

 

  • 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 2800 are (1, 2800), (2, 1400), etc.

 

  • Prime factorization: Breaking down a number into its prime factors. For instance, the prime factorization of 2800 is \(24 times 52 times 7).

 

  • Multiples: Numbers that can be divided by another number without a remainder. For example, 2800 is a multiple of 10.
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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 2800 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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