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Last updated on May 26th, 2025

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Factors of 3780

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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 3780, how they are used in real life, and tips to learn them quickly.

Factors of 3780 for US Students
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What are the Factors of 3780?

The numbers that divide 3780 evenly are known as factors of 3780.

 

A factor of 3780 is a number that divides the number without remainder.

 

The factors of 3780 include 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 63, 75, 90, 126, 150, 180, 189, 252, 315, 378, 630, 945, 1260, 1890, and 3780.

 

Negative factors of 3780: -1, -2, -3, -4, -5, -6, -9, -10, -12, -15, -18, -20, -30, -36, -45, -60, -63, -75, -90, -126, -150, -180, -189, -252, -315, -378, -630, -945, -1260, -1890, and -3780.

 

Prime factors of 3780: 2, 3, 5, and 7.

 

Prime factorization of 3780: 2² × 3³ × 5 × 7.

 

The sum of factors of 3780: 1 + 2 + 3 + 4 + 5 + 6 + 9 + 10 + 12 + 15 + 18 + 20 + 30 + 36 + 45 + 60 + 63 + 75 + 90 + 126 + 150 + 180 + 189 + 252 + 315 + 378 + 630 + 945 + 1260 + 1890 + 3780 = 11232

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How to Find Factors of 3780?

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 3780. Identifying the numbers which are multiplied to get the number 3780 is the multiplication method.

 

Step 1: Multiply 3780 by 1, 3780 × 1 = 3780.

 

Step 2: Check for other numbers that give 3780 after multiplying:     

2 × 1890 = 3780     

3 × 1260 = 3780     

4 × 945 = 3780     

5 × 756 = 3780     

6 × 630 = 3780

 

Therefore, the positive factor pairs of 3780 are: (1, 3780), (2, 1890), (3, 1260), (4, 945), (5, 756), (6, 630), etc. 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 a simple division method -

 

Step 1: Divide 3780 by 1, 3780 ÷ 1 = 3780.

 

Step 2: Continue dividing 3780 by the numbers until the remainder becomes 0.

3780 ÷ 1 = 3780

3780 ÷ 2 = 1890

3780 ÷ 3 = 1260

3780 ÷ 4 = 945

3780 ÷ 5 = 756

 

Therefore, the factors of 3780 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 63, 75, 90, 126, 150, 180, 189, 252, 315, 378, 630, 945, 1260, 1890, and 3780.

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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 3780 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1

3780 ÷ 2 = 1890

1890 ÷ 2 = 945

945 ÷ 3 = 315

315 ÷ 3 = 105

105 ÷ 3 = 35

35 ÷ 5 = 7

7 ÷ 7 = 1

 

The prime factors of 3780 are 2, 3, 5, and 7.

 

The prime factorization of 3780 is: 2² × 3³ × 5 × 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, 3780 is divided by 2 to get 1890.

 

Step 2: Now divide 1890 by 2 to get 945.

 

Step 3: Then divide 945 by 3 to get 315.

 

Step 4: Now divide 315 by 3 to get 105.

 

Step 5: Divide 105 by 3 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 3780 is: 2² × 3³ × 5 × 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 3780: (1, 3780), (2, 1890), (3, 1260), (4, 945), (5, 756), (6, 630), etc.

 

Negative factor pairs of 3780: (-1, -3780), (-2, -1890), (-3, -1260), (-4, -945), (-5, -756), (-6, -630), etc.

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Common Mistakes and How to Avoid Them in Factors of 3780

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 3780, 1 and 3780 are also factors.

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Factors of 3780 Examples

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Problem 1

A theater has 3780 seats. If there are 630 rows, how many seats are there in each row?

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There are 6 seats in each row.

Explanation

To find the number of seats in each row, divide the total seats by the number of rows.

3780/630 = 6

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Problem 2

A company has 3780 units of product to distribute equally among 126 teams. How many units will each team receive?

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Each team will receive 30 units.

Explanation

To find the units per team, divide the total units by the number of teams.

3780/126 = 30

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Problem 3

A farmer has 3780 kg of grain to store in 945 bins. How many kg of grain will each bin hold?

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Each bin will hold 4 kg of grain.

Explanation

To find the kg per bin, divide the total kg by the number of bins.

3780/945 = 4

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Problem 4

An auditorium has a capacity of 3780 people and 9 sections. How many people can each section accommodate?

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Each section can accommodate 420 people.

Explanation

Divide the total capacity by the number of sections to find how many people each section can accommodate.

3780/9 = 420

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Problem 5

3780 pages need to be printed, and each printer can print 630 pages. How many printers are needed?

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6 printers are needed.

Explanation

Divide the total pages by the pages per printer to find the number of printers needed.

3780/630 = 6

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FAQs on Factors of 3780

1.What are the factors of 3780?

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2.Mention the prime factors of 3780.

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3.Is 3780 a multiple of 18?

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4.Mention the factor pairs of 3780.

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5.What is the square of 3780?

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6.How can children in United States use numbers in everyday life to understand Factors of 3780?

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7.What are some fun ways kids in United States can practice Factors of 3780 with numbers?

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8.What role do numbers and Factors of 3780 play in helping children in United States develop problem-solving skills?

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9.How can families in United States create number-rich environments to improve Factors of 3780 skills?

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Important Glossaries for Factors of 3780

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3780 include 1, 2, 3, 4, 5, etc.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 3, 5, and 7 are prime factors of 3780.

 

  • 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 3780 include (1, 3780), (2, 1890), etc.

 

  • Prime factorization: Expressing a number as the product of its prime factors. For example, the prime factorization of 3780 is 2² × 3³ × 5 × 7.

 

  • Multiples: The result of multiplying a number by an integer. For example, 3780 is a multiple of 1, 2, 3, etc.
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About BrightChamps in United States

At BrightChamps, we believe numbers are more than symbols—they unlock a world full of possibilities! Our goal is to support kids throughout the United States in mastering key math skills, such as today’s Factors of 3780, with a special emphasis on understanding factors—in a way that’s engaging, fun, and easy to grasp. Whether your child is calculating the speed of a roller coaster at Disney World, tracking scores at a Little League baseball game, or budgeting their allowance to buy cool gadgets, understanding numbers builds their confidence for everyday tasks. Our hands-on lessons make learning enjoyable and straightforward. Since kids in the USA learn in unique ways, we customize our methods to match each child’s style. From the busy streets of New York City to the sunny beaches of California, BrightChamps makes math come alive, bringing it closer to children everywhere. Let’s turn factors into an exciting part of every child’s math adventure!
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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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: She loves to read number jokes and games.

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