101 LearnersLast updated on May 26th, 2025
Factors of 876
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 876, how they are used in real life, and tips to learn them quickly.
What are the Factors of 876?
The numbers that divide 876 evenly are known as factors of 876.
A factor of 876 is a number that divides the number without remainder.
The factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, and 876.
Negative factors of 876: -1, -2, -3, -4, -6, -12, -73, -146, -219, -292, -438, and -876.
Prime factors of 876: 2, 3, and 73.
Prime factorization of 876: 2² × 3 × 73.
The sum of factors of 876: 1 + 2 + 3 + 4 + 6 + 12 + 73 + 146 + 219 + 292 + 438 + 876 = 2072
How to Find Factors of 876?
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
Finding Factors Using Multiplication
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 876. Identifying the numbers which are multiplied to get the number 876 is the multiplication method.
Step 1: Multiply 876 by 1, 876 × 1 = 876.
Step 2: Check for other numbers that give 876 after multiplying
2 × 438 = 876
3 × 292 = 876
4 × 219 = 876
6 × 146 = 876
12 × 73 = 876
Therefore, the positive factor pairs of 876 are: (1, 876), (2, 438), (3, 292), (4, 219), (6, 146), (12, 73).
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 876 by 1, 876 ÷ 1 = 876.
Step 2: Continue dividing 876 by the numbers until the remainder becomes 0.
876 ÷ 1 = 876
876 ÷ 2 = 438
876 ÷ 3 = 292
876 ÷ 4 = 219
876 ÷ 6 = 146
876 ÷ 12 = 73
Therefore, the factors of 876 are: 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876.
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 876 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
876 ÷ 2 = 438
438 ÷ 2 = 219
219 ÷ 3 = 73
73 ÷ 73 = 1
The prime factors of 876 are 2, 3, and 73.
The prime factorization of 876 is: 2² × 3 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 876 is divided by 2 to get 438.
Step 2: Now divide 438 by 2 to get 219.
Step 3: Then divide 219 by 3 to get 73. Here, 73 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 876 is: 2² × 3 × 73.
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 876: (1, 876), (2, 438), (3, 292), (4, 219), (6, 146), (12, 73).
Negative factor pairs of 876: (-1, -876), (-2, -438), (-3, -292), (-4, -219), (-6, -146), (-12, -73).
Common Mistakes and How to Avoid Them in Factors of 876
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 is 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 876, 1 and 876 are also factors.
Factors of 876 Examples
Problem 1
There are 12 teams in a tournament with 876 participants. How many participants are in each team if divided equally?
Each team will have 73 participants.
Explanation
To divide the participants equally, we need to divide the total participants by the number of teams.
876/12 = 73
Problem 2
A garden is rectangular, the length of the garden is 6 meters, and the total area is 876 square meters. Find the width?
146 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width
876 = 6 × width
To find the value of width, we need to shift 6 to the left side.
876/6 = width
Width = 146.
Problem 3
There are 73 boxes and 876 apples. How many apples will be in each box?
Each box will have 12 apples.
Explanation
To find the apples in each box, divide the total apples by the number of boxes.
876/73 = 12
Problem 4
In a school, there are 876 students, and 3 buses. How many students are there in each bus?
There are 292 students in each bus.
Explanation
Dividing the students by the total buses, we will get the number of students in each bus.
876/3 = 292
Problem 5
876 plants need to be arranged in 4 rows. How many plants will go in each row?
Each row will have 219 plants.
Explanation
Divide total plants by the number of rows.
876/4 = 219
FAQs on Factors of 876
1.What are the factors of 876?
2.Mention the prime factors of 876.
3.Is 876 a multiple of 6?
4.Mention the factor pairs of 876?
5.What is the square of 876?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 876?
7.What are some fun ways kids in Vietnam can practice Factors of 876 with numbers?
8.What role do numbers and Factors of 876 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 876 skills?
Important Glossaries for Factors of 876
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, and 876.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 73 are prime factors of 876.
- 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 876 are (1, 876), (2, 438), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 876 is 2² × 3 × 73.
- Multiple: A number that can be divided by another number without a remainder. For example, 876 is a multiple of 6.
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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.
