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Last updated on June 2nd, 2025

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Factors of 3969

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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 3969, how they are used in real life, and tips to learn them quickly.

Factors of 3969 for US Students
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What are the Factors of 3969?

The numbers that divide 3969 evenly are known as factors of 3969.

 

A factor of 3969 is a number that divides the number without remainder.

 

The factors of 3969 include 1, 3, 9, 13, 27, 39, 81, 117, 169, 351, 507, 1303, and 3969.

 

Negative factors of 3969: -1, -3, -9, -13, -27, -39, -81, -117, -169, -351, -507, -1303, and -3969.

 

Prime factors of 3969: 3 and 13.

 

Prime factorization of 3969: 34 × 132.

 

The sum of factors of 3969: 1 + 3 + 9 + 13 + 27 + 39 + 81 + 117 + 169 + 351 + 507 + 1303 + 3969 = 6589

 

factors of 3969

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How to Find Factors of 3969?

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 3969. Identifying the numbers which are multiplied to get the number 3969 is the multiplication method.

 

Step 1: Multiply 3969 by 1, 3969 × 1 = 3969.

 

Step 2: Check for other numbers that give 3969 after multiplying

3 × 1303 = 3969

9 × 441 = 3969

13 × 305 = 3969

27 × 147 = 3969

39 × 101 = 3969

 

Therefore, the positive factor pairs of 3969 are: (1, 3969), (3, 1303), (9, 441), (13, 305), (27, 147), (39, 101).

 

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 3969 by 1, 3969 ÷ 1 = 3969.

 

Step 2: Continue dividing 3969 by the numbers until the remainder becomes 0.

3969 ÷ 1 = 3969

3969 ÷ 3 = 1303

3969 ÷ 9 = 441

3969 ÷ 13 = 305

3969 ÷ 27 = 147

3969 ÷ 39 = 101

 

Therefore, the factors of 3969 are: 1, 3, 9, 13, 27, 39, 81, 117, 169, 351, 507, 1303, and 3969.

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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 3969 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

3969 ÷ 3 = 1323

1323 ÷ 3 = 441

441 ÷ 3 = 147

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

 

The prime factors of 3969 are 3 and 13.

 

The prime factorization of 3969 is: 34 × 132.

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Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show

 

Step 1: Firstly, 3969 is divided by 3 to get 1323.

 

Step 2: Now divide 1323 by 3 to get 441.

 

Step 3: Then divide 441 by 3 to get 147.

 

Step 4: Divide 147 by 3 to get 49.

 

Step 5: Divide 49 by 7 to get 7. Here, 7 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 3969 is: 34 × 132.

 

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 3969: (1, 3969), (3, 1303), (9, 441), (13, 305), (27, 147), and (39, 101).

 

Negative factor pairs of 3969: (-1, -3969), (-3, -1303), (-9, -441), (-13, -305), (-27, -147), and (-39, -101).

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Common Mistakes and How to Avoid Them in Factors of 3969

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 3969, 1 and 3969 are also factors.

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Factors of 3969 Examples

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Problem 1

There are 9 friends and 3969 marbles. How will they divide them equally?

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They will get 441 marbles each.

Explanation

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

3969/9 = 441

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Problem 2

A garden is rectangular, the length of the garden is 27 meters and the total area is 3969 square meters. Find the width?

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147 meters.

Explanation

To find the width of the garden, we use the formula, Area = length × width

3969 = 27 × width

To find the value of width, we need to shift 27 to the left side.

3969/27 = width

Width = 147.

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Problem 3

There are 13 bags and 3969 candies. How many candies will be in each bag?

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Each bag will have 305 candies.

Explanation

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

3969/13 = 305

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Problem 4

In a class, there are 3969 students, and 27 groups. How many students are there in each group?

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There are 147 students in each group.

Explanation

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

3969/27 = 147

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Problem 5

3969 books need to be arranged in 3 shelves. How many books will go on each shelf?

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Each of the shelves has 1303 books.

Explanation

Divide total books by shelves.

3969/3 = 1303

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FAQs on Factors of 3969

1.What are the factors of 3969?

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2.Mention the prime factors of 3969.

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3.Is 3969 a multiple of 9?

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4.Mention the factor pairs of 3969?

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5.What is the square root of 3969?

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6.How can children in United States use numbers in everyday life to understand Factors of 3969?

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7.What are some fun ways kids in United States can practice Factors of 3969 with numbers?

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8.What role do numbers and Factors of 3969 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 3969 skills?

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Important Glossaries for Factors of 3969

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 3969 are 1, 3, 9, 13, 27, 39, 81, 117, 169, 351, 507, 1303, and 3969.

 

  • Prime factors: The factors which are prime numbers. For example, 3 and 13 are prime factors of 3969.

 

  • 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 3969 are (1, 3969), (3, 1303), etc.

 

  • Prime factorization: The process of expressing a number as a product of its prime factors. For instance, the prime factorization of 3969 is 34 × 132.

 

  • Multiples: Numbers that can be divided by a particular number without leaving a remainder. For example, 3969 is a multiple of 9.
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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 3969, 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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