100 LearnersLast updated on May 26th, 2025
Factors of 871
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.
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
- Using factor tree
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.
Mistake 1
Forgetting the number itself and 1 as a factor
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 871, 1 and 871 are also factors.
Factors of 871 Examples
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?
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
Problem 2
A garden has an area of 871 square meters, and its length is 67 meters. Find its width.
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.
Problem 3
There are 871 students in a school, and they are divided into 67 classes. How many students are there in each class?
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
Problem 4
A warehouse has 871 boxes, and they need to be stored in 13 sections. How many boxes will each section have?
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
Problem 5
A company needs to distribute 871 promotional items into 67 packages. How many items will go into each package?
Each package will have 13 items.
Explanation
Divide total items by the number of packages.
871/67 = 13
FAQs on Factors of 871
1.What are the factors of 871?
2.Mention the prime factors of 871.
3.Is 871 a multiple of 13?
4.Mention the factor pairs of 871?
5.What is the square of 871?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 871?
7.What are some fun ways kids in Vietnam can practice Factors of 871 with numbers?
8.What role do numbers and Factors of 871 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 871 skills?
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.
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About BrightChamps in Vietnam
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.
