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Last updated on June 2nd, 2025

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Factors of 3920

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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 3920, how they are used in real life, and the tips to learn them quickly.

Factors of 3920 for Singaporean Students
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What are the Factors of 3920?

The numbers that divide 3920 evenly are known as factors of 3920.

 

A factor of 3920 is a number that divides the number without remainder.

 

The factors of 3920 are 1, 2, 4, 5, 8, 10, 16, 20, 28, 40, 56, 70, 80, 112, 140, 196, 280, 392, 560, 784, 980, 1960, and 3920.

 

Negative factors of 3920: -1, -2, -4, -5, -8, -10, -16, -20, -28, -40, -56, -70, -80, -112, -140, -196, -280, -392, -560, -784, -980, -1960, and -3920.

 

Prime factors of 3920: 2, 5, and 7.

 

Prime factorization of 3920: 24 × 5 × 72.

 

The sum of factors of 3920: 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 28 + 40 + 56 + 70 + 80 + 112 + 140 + 196 + 280 + 392 + 560 + 784 + 980 + 1960 + 3920 = 10800

 

factors of 3920

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How to Find Factors of 3920?

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 3920. Identifying the numbers which are multiplied to get the number 3920 is the multiplication method.

 

Step 1: Multiply 3920 by 1, 3920 × 1 = 3920.

 

Step 2: Check for other numbers that give 3920 after multiplying

2 × 1960 = 3920

4 × 980 = 3920

5 × 784 = 3920

8 × 490 = 3920

10 × 392 = 3920

16 × 245 = 3920

20 × 196 = 3920

28 × 140 = 3920

40 × 98 = 3920

56 × 70 = 3920

 

Therefore, the positive factor pairs of 3920 are: (1, 3920), (2, 1960), (4, 980), (5, 784), (8, 490), (10, 392), (16, 245), (20, 196), (28, 140), (40, 98), and (56, 70). 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 3920 by 1, 3920 ÷ 1 = 3920.

 

Step 2: Continue dividing 3920 by the numbers until the remainder becomes 0.

3920 ÷ 1 = 3920

3920 ÷ 2 = 1960

3920 ÷ 4 = 980

3920 ÷ 5 = 784

3920 ÷ 8 = 490

3920 ÷ 10 = 392

3920 ÷ 16 = 245

3920 ÷ 20 = 196

3920 ÷ 28 = 140

3920 ÷ 40 = 98

3920 ÷ 56 = 70

 

Therefore, the factors of 3920 are: 1, 2, 4, 5, 8, 10, 16, 20, 28, 40, 56, 70, 80, 112, 140, 196, 280, 392, 560, 784, 980, 1960, 3920.

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Prime Factors and Prime Factorization

The factors can be found by dividing it with a prime number. 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 3920 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.

3920 ÷ 2 = 1960

1960 ÷ 2 = 980

980 ÷ 2 = 490

490 ÷ 2 = 245

245 ÷ 5 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

 

The prime factors of 3920 are 2, 5, and 7.

 

The prime factorization of 3920 is: 24 × 5 × 72.

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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, 3920 is divided by 2 to get 1960.

 

Step 2: Now divide 1960 by 2 to get 980.

 

Step 3: Then divide 980 by 2 to get 490.

 

Step 4: Divide 490 by 2 to get 245.

 

Step 5: Divide 245 by 5 to get 49.

 

Step 6: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore.

So, the prime factorization of 3920 is: 24 × 5 × 72.

 

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 3920: (1, 3920), (2, 1960), (4, 980), (5, 784), (8, 490), (10, 392), (16, 245), (20, 196), (28, 140), (40, 98), and (56, 70).

 

Negative factor pairs of 3920: (-1, -3920), (-2, -1960), (-4, -980), (-5, -784), (-8, -490), (-10, -392), (-16, -245), (-20, -196), (-28, -140), (-40, -98), and (-56, -70).

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Common Mistakes and How to Avoid Them in Factors of 3920

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 3920, 1 and 3920 are also factors.

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Factors of 3920 Examples

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Problem 1

A factory has 3920 light bulbs to be packed equally into boxes, each box can hold 56 bulbs. How many boxes are needed?

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70 boxes are needed.

Explanation

To find out the number of boxes, divide the total bulbs by the number of bulbs per box.

3920/56 = 70

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Problem 2

A garden has a length of 140 meters and a total area of 3920 square meters. Find the width of the garden.

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28 meters.

Explanation

To find the width of the garden, use the formula, Area = Length × Width

3920 = 140 × Width

To find the value of width, divide 3920 by 140.

3920/140 = Width

Width = 28.

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Problem 3

There are 980 seats in a concert hall and 3920 guests. How many guests will occupy each seat?

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Each seat will have 4 guests.

Explanation

To find the number of guests per seat, divide the total guests by the number of seats.

3920/980 = 4

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Problem 4

A warehouse has 3920 boxes and 20 sections. How many boxes are there in each section?

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There are 196 boxes in each section.

Explanation

Dividing the total boxes by the number of sections gives the number of boxes in each section.

3920/20 = 196

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Problem 5

A library has 3920 books to be arranged into 49 shelves equally. How many books will go on each shelf?

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Each of the shelves has 80 books.

Explanation

Divide the total books by the number of shelves.

3920/49 = 80

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FAQs on Factors of 3920

1.What are the factors of 3920?

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2.Mention the prime factors of 3920.

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3.Is 3920 a multiple of 8?

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4.Mention the factor pairs of 3920?

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5.What is the square of 3920?

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6.How can children in Singapore use numbers in everyday life to understand Factors of 3920?

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7.What are some fun ways kids in Singapore can practice Factors of 3920 with numbers?

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8.What role do numbers and Factors of 3920 play in helping children in Singapore develop problem-solving skills?

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9.How can families in Singapore create number-rich environments to improve Factors of 3920 skills?

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Important Glossaries for Factors of 3920

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3920 are 1, 2, 4, 5, 8, 10, 16, 20, 28, 40, 56, 70, 80, 112, 140, 196, 280, 392, 560, 784, 980, 1960, and 3920.

 

  • Prime factors: The factors which are prime numbers. For example, 2, 5, and 7 are prime factors of 3920.

 

  • 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 3920 are (1, 3920), (2, 1960), etc.

 

  • Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 3920 is 24 × 5 × 72.

 

  • Multiple: A number that can be divided by another number without leaving a remainder. For example, 3920 is a multiple of 8.
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About BrightChamps in Singapore

At BrightChamps, numbers are more than figures—they unlock endless opportunities! We aim to support kids across Singapore in developing key math skills, focusing on Factors of 3920 with a special emphasis on factors—in an engaging, clear, and enjoyable way. Whether your child is figuring out the speed of a ride at Universal Studios Singapore, following local football scores, or managing their allowance to buy gadgets, mastering numbers builds everyday confidence. Our interactive lessons make learning fun and easy. Because kids in Singapore learn uniquely, we tailor lessons to fit each child’s style. From city streets to scenic gardens, BrightChamps brings math to life throughout Singapore. Let’s make factors an exciting 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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