Factors of 871
2026-02-28 12:43 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-871

288 Learners

Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without a 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 871, how they are used in real life, and tips to learn them quickly.

What are the Factors of 871?

The numbers that divide 871 evenly are known as factors of 871.

A factor of 871 is a number that divides the number without a remainder.

The factors of 871 are 1, 13, 67, and 871.

Negative factors of 871: -1, -13, -67, and -871.

Prime factors of 871: 13 and 67.

Prime factorization of 871: 13 × 67.

The sum of factors of 871: 1 + 13 + 67 + 871 = 952

How to Find Factors of 871?

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

Finding Factors Using Multiplication

To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 871. Identifying the numbers which are multiplied to get the number 871 is the multiplication method.

Step 1: Multiply 871 by 1, 871 × 1 = 871.

Step 2: Check for other numbers that give 871 after multiplying

13 × 67 = 871

Therefore, the positive factor pairs of 871 are: (1, 871), (13, 67).

All these factor pairs result in 871.

For every positive factor, there is a negative factor.

Explore Our Programs

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 871 by 1, 871 ÷ 1 = 871.

Step 2: Continue dividing 871 by the numbers until the remainder becomes 0.

871 ÷ 1 = 871

871 ÷ 13 = 67

Therefore, the factors of 871 are: 1, 13, 67, 871.

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: In this process, prime factors of 871 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.

871 ÷ 13 = 67

67 ÷ 67 = 1

The prime factors of 871 are 13 and 67.

The prime factorization of 871 is: 13 × 67.

Factor Tree

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

Step 1: Firstly, 871 is divided by 13 to get 67.

Step 2: Now divide 67 by 67 to get 1. Here, both 13 and 67 are prime numbers that cannot be divided anymore. So, the prime factorization of 871 is: 13 × 67.

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 871: (1, 871), (13, 67).

Negative factor pairs of 871: (-1, -871), (-13, -67).

Common Mistakes and How to Avoid Them in Factors of 871

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Download Worksheets

Problem 1

There are 871 pages in a book and 13 chapters. How many pages are there in each chapter if they are evenly distributed?

Okay, lets begin

There are 67 pages in each chapter.

Explanation

To divide the pages equally, we need to divide the total pages by the number of chapters.

871/13 = 67

Well explained 👍

Problem 2

A garden has an area of 871 square meters, and its length is 67 meters. Find its width.

Okay, lets begin

13 meters.

Explanation

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

871 = 67 × width

To find the value of width, we need to shift 67 to the left side.

871/67 = width

Width = 13.

Well explained 👍

Problem 3

There are 871 students in a school, and they are divided into 67 classes. How many students are there in each class?

Okay, lets begin

Each class will have 13 students.

Explanation

To find the students in each class, divide the total students by the number of classes.

871/67 = 13

Well explained 👍

Problem 4

A warehouse has 871 boxes, and they need to be stored in 13 sections. How many boxes will each section have?

Okay, lets begin

Each section will have 67 boxes.

Explanation

Dividing the boxes by the total sections, we will get the number of boxes in each section.

871/13 = 67

Well explained 👍

Problem 5

A company needs to distribute 871 promotional items into 67 packages. How many items will go into each package?

Okay, lets begin

Each package will have 13 items.

Explanation

Divide total items by the number of packages.

871/67 = 13

Well explained 👍

FAQs on Factors of 871

1.What are the factors of 871?

1, 13, 67, and 871 are the factors of 871.

2.Mention the prime factors of 871.

The prime factors of 871 are 13 × 67.

3.Is 871 a multiple of 13?

4.Mention the factor pairs of 871?

(1, 871) and (13, 67) are the factor pairs of 871.

5.What is the square of 871?

Important Glossaries for Factors of 871

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 871 are 1, 13, 67, and 871.
  • Prime factors: The factors which are prime numbers. For example, 13 and 67 are prime factors of 871.
  • 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 871 are (1, 871) and (13, 67).
  • Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 871 is 13 × 67.
  • Negative factors: The negative counterparts of the positive factors. For example, the negative factors of 871 are -1, -13, -67, and -871.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.

Fun Fact

: She loves to read number jokes and games.