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Last updated on May 26th, 2025

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Factors of 869

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

Factors of 869 for US Students
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What are the Factors of 869?

The numbers that divide 869 evenly are known as factors of 869.

 

A factor of 869 is a number that divides the number without remainder.

 

The factors of 869 are 1, 11, 79, and 869.

 

Negative factors of 869: -1, -11, -79, and -869.

 

Prime factors of 869: 11 and 79.

 

Prime factorization of 869: 11 × 79.

 

The sum of factors of 869: 1 + 11 + 79 + 869 = 960

 

factors of 869

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How to Find Factors of 869?

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 869. Identifying the numbers which are multiplied to get the number 869 is the multiplication method.

 

Step 1: Multiply 869 by 1, 869 × 1 = 869.

 

Step 2: Check for other numbers that give 869 after multiplying

11 × 79 = 869

 

Therefore, the positive factor pairs of 869 are: (1, 869), (11, 79).

 

All these factor pairs result in 869.

 

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 simple division method

 

Step 1: Divide 869 by 1, 869 ÷ 1 = 869.

 

Step 2: Continue dividing 869 by the numbers until the remainder becomes 0.

869 ÷ 1 = 869

869 ÷ 11 = 79

 

Therefore, the factors of 869 are: 1, 11, 79, 869.

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

 

869 ÷ 11 = 79

79 ÷ 79 = 1

 

The prime factors of 869 are 11 and 79.

 

The prime factorization of 869 is: 11 × 79.

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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, 869 is divided by 11 to get 79.

 

Step 2: Now divide 79 by 79 to get 1. Here, 79 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 869 is: 11 × 79.

 

Factor Pairs: Two numbers that are multiplied to give a specific number are called as factor pairs. Both positive and negative factors constitute factor pairs.

 

Positive factor pairs of 869: (1, 869), (11, 79).

 

Negative factor pairs of 869: (-1, -869), (-11, -79).

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Common Mistakes and How to Avoid Them in Factors of 869

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 869, 1 and 869 are also factors.

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Factors of 869 Examples

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Problem 1

A group of 11 people are planning a party with 869 balloons. How many balloons will each person get?

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Each person will get 79 balloons.

Explanation

To divide the balloons equally, we need to divide the total balloons by the number of people.

869 ÷ 11 = 79

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Problem 2

A rectangular garden has a length of 79 meters and an area of 869 square meters. What is the width of the garden?

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11 meters.

Explanation

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

869 = 79 × width

To find the value of the width, we need to shift 79 to the left side.

869 ÷ 79 = width

Width = 11.

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Problem 3

There are 869 candies and 79 bags. How many candies will be in each bag?

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Each bag will have 11 candies.

Explanation

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

869 ÷ 79 = 11

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Problem 4

A school has 869 students, and they want to form 11 groups. How many students will there be in each group?

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There are 79 students in each group.

Explanation

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

869 ÷ 11 = 79

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Problem 5

869 books need to be stocked in 11 shelves. How many books will go on each shelf?

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Each shelf will have 79 books.

Explanation

Divide total books by shelves.

869 ÷ 11 = 79

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FAQs on Factors of 869

1.What are the factors of 869?

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2.Mention the prime factors of 869.

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3.Is 869 a multiple of 11?

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4.Mention the factor pairs of 869?

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5.What is the square of 869?

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6.How can children in United States use numbers in everyday life to understand Factors of 869?

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7.What are some fun ways kids in United States can practice Factors of 869 with numbers?

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8.What role do numbers and Factors of 869 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 869 skills?

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Important Glossaries for Factors of 869

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 869 are 1, 11, 79, and 869.

 

  • Prime factors: The factors which are prime numbers. For example, 11 and 79 are prime factors of 869.

 

  • 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 869 are (1, 869) and (11, 79).

 

  • Prime factorization: The process of expressing a number as a product of prime numbers. For example, the prime factorization of 869 is 11 × 79.

 

  • Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 869 are -1, -11, -79, and -869.
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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 869, 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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Fun Fact

: She loves to read number jokes and games.

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