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Last updated on May 26th, 2025

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Factors of 3800

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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 3800, how they are used in real life, and tips to learn them quickly.

Factors of 3800 for Qatari Students
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What are the Factors of 3800?

The numbers that divide 3800 evenly are known as factors of 3800.

 

A factor of 3800 is a number that divides the number without remainder.

 

The factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800.

 

Negative factors of 3800: -1, -2, -4, -5, -8, -10, -19, -20, -25, -38, -40, -50, -76, -95, -100, -152, -190, -200, -380, -475, -760, -950, -1900, and -3800.

 

Prime factors of 3800: 2, 5, and 19.

 

Prime factorization of 3800: 2² × 5² × 19.

 

The sum of factors of 3800: 1 + 2 + 4 + 5 + 8 + 10 + 19 + 20 + 25 + 38 + 40 + 50 + 76 + 95 + 100 + 152 + 190 + 200 + 380 + 475 + 760 + 950 + 1900 + 3800 = 9370

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How to Find Factors of 3800?

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 3800. Identifying the numbers which are multiplied to get the number 3800 is the multiplication method.

 

Step 1: Multiply 3800 by 1, 3800 × 1 = 3800.

 

Step 2: Check for other numbers that give 3800 after multiplying

2 × 1900 = 3800

4 × 950 = 3800

5 × 760 = 3800

8 × 475 = 3800

10 × 380 = 3800

19 × 200 = 3800

20 × 190 = 3800

25 × 152 = 3800

38 × 100 = 3800

40 × 95 = 3800

50 × 76 = 3800

 

Therefore, the positive factor pairs of 3800 are: (1, 3800), (2, 1900), (4, 950), (5, 760), (8, 475), (10, 380), (19, 200), (20, 190), (25, 152), (38, 100), (40, 95), and (50, 76). 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 3800 by 1, 3800 ÷ 1 = 3800.

 

Step 2: Continue dividing 3800 by the numbers until the remainder becomes 0.

 

3800 ÷ 1 = 3800

3800 ÷ 2 = 1900

3800 ÷ 4 = 950

3800 ÷ 5 = 760

3800 ÷ 8 = 475

3800 ÷ 10 = 380

3800 ÷ 19 = 200

3800 ÷ 20 = 190

3800 ÷ 25 = 152

3800 ÷ 38 = 100

3800 ÷ 40 = 95

3800 ÷ 50 = 76

 

Therefore, the factors of 3800 are: 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800.

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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 3800 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

3800 ÷ 2 = 1900

1900 ÷ 2 = 950

950 ÷ 5 = 190

190 ÷ 5 = 38

38 ÷ 19 = 2

2 ÷ 2 = 1

 

The prime factors of 3800 are 2, 5, and 19.

 

The prime factorization of 3800 is: 2² × 5² × 19.

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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, 3800 is divided by 2 to get 1900.

 

Step 2: Now divide 1900 by 2 to get 950.

 

Step 3: Then divide 950 by 5 to get 190.

 

Step 4: Divide 190 by 5 to get 38.

 

Step 5: Finally, divide 38 by 19 to get 2, and then divide 2 by 2 to get 1. Here, 1 is the smallest number, indicating the end of the factor tree. So, the prime factorization of 3800 is: 2² × 5² × 19.

 

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 3800: (1, 3800), (2, 1900), (4, 950), (5, 760), (8, 475), (10, 380), (19, 200), (20, 190), (25, 152), (38, 100), (40, 95), and (50, 76).

 

Negative factor pairs of 3800: (-1, -3800), (-2, -1900), (-4, -950), (-5, -760), (-8, -475), (-10, -380), (-19, -200), (-20, -190), (-25, -152), (-38, -100), (-40, -95), and (-50, -76).

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Common Mistakes and How to Avoid Them in Factors of 3800

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 number. Always remember to include 1 and the number itself.

 

For example, in factors of 3800, 1 and 3800 are also factors.

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Factors of 3800 Examples

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Problem 1

There are 20 boxes and 3800 candies. How will they distribute them equally?

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They will get 190 candies each.

Explanation

To divide the candies equally, we need to divide the total candies by the number of boxes.

3800/20 = 190

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Problem 2

A swimming pool is rectangular, the length of the pool is 95 meters and the total area is 3800 square meters. Find the width?

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40 meters.

Explanation

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

Area = length × width

3800 = 95 × width

To find the value of width, we need to shift 95 to the left side.

3800/95 = width

Width = 40.

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Problem 3

There are 76 shelves and 3800 books. How many books will be on each shelf?

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Each shelf will have 50 books.

Explanation

To find the books on each shelf, divide the total books by the number of shelves.

3800/76 = 50

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Problem 4

In a company, there are 3800 employees, and 190 teams. How many employees are there in each team?

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There are 20 employees in each team.

Explanation

Dividing the employees by the total teams, we will get the number of employees in each team.

3800/190 = 20

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Problem 5

3800 seeds need to be planted in 475 pots. How many seeds will go in each pot?

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Each of the pots has 8 seeds.

Explanation

Divide total seeds by the number of pots.

3800/475 = 8

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FAQs on Factors of 3800

1.What are the factors of 3800?

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2.Mention the prime factors of 3800.

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3.Is 3800 a multiple of 5?

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4.Mention the factor pairs of 3800?

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5.What is the square of 3800?

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6.How can children in Qatar use numbers in everyday life to understand Factors of 3800?

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7.What are some fun ways kids in Qatar can practice Factors of 3800 with numbers?

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8.What role do numbers and Factors of 3800 play in helping children in Qatar develop problem-solving skills?

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9.How can families in Qatar create number-rich environments to improve Factors of 3800 skills?

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Important Glossaries for Factors of 3800

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3800 are 1, 2, 4, 5, 8, 10, 19, 20, 25, 38, 40, 50, 76, 95, 100, 152, 190, 200, 380, 475, 760, 950, 1900, and 3800.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 19 are prime factors of 3800.

 

  • 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 3800 are (1, 3800), (2, 1900), etc.

 

  • Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 3800 is 2² × 5² × 19.

 

  • Division method: A method to find factors by dividing the number by whole numbers until the remainder is zero. For example, using this method to find factors of 3800.
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About BrightChamps in Qatar

At BrightChamps, numbers are more than symbols—they open pathways to countless chances! Our mission is to help kids throughout Qatar master important math skills, focusing today on Factors of 3800 with special attention to factors—in an engaging, clear, and fun way. Whether your child is figuring out the speed of a ride at Angry Birds World, tracking local football scores, or managing their allowance for gadgets, strong number skills boost their confidence for daily tasks. Our interactive lessons make learning straightforward and enjoyable. Since kids in Qatar learn uniquely, we customize lessons to each child’s needs. From Doha’s modern cityscape to desert surroundings, BrightChamps brings math to life across Qatar. Let’s make factors an exciting part of every child’s math 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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