100 LearnersLast updated on May 26th, 2025
Factors of 873
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 873, how they are used in real life, and tips to learn them quickly.
What are the Factors of 873?
The numbers that divide 873 evenly are known as factors of 873.
A factor of 873 is a number that divides the number without a remainder.
The factors of 873 are 1, 3, 9, 97, 291, and 873.
Negative factors of 873: -1, -3, -9, -97, -291, and -873.
Prime factors of 873: 3 and 97.
Prime factorization of 873: 32 × 97.
The sum of factors of 873: 1 + 3 + 9 + 97 + 291 + 873 = 1274
How to Find Factors of 873?
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 873. Identifying the numbers which are multiplied to get the number 873 is the multiplication method.
Step 1: Multiply 873 by 1, 873 × 1 = 873.
Step 2: Check for other numbers that give 873 after multiplying
3 × 291 = 873
9 × 97 = 873
Therefore, the positive factor pairs of 873 are: (1, 873), (3, 291), and (9, 97).
All these factor pairs result in 873.
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 in whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 873 by 1, 873 ÷ 1 = 873.
Step 2: Continue dividing 873 by the numbers until the remainder becomes 0.
873 ÷ 1 = 873
873 ÷ 3 = 291
873 ÷ 9 = 97
Therefore, the factors of 873 are: 1, 3, 9, 97, 291, 873.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 873 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
873 ÷ 3 = 291
291 ÷ 3 = 97
97 ÷ 97 = 1
The prime factors of 873 are 3 and 97.
The prime factorization of 873 is: 32 × 97.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show
Step 1: Firstly, 873 is divided by 3 to get 291.
Step 2: Now divide 291 by 3 to get 97.
Step 3: 97 is a prime number and cannot be divided further. So, the prime factorization of 873 is: 32 × 97.
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 873: (1, 873), (3, 291), and (9, 97).
Negative factor pairs of 873: (-1, -873), (-3, -291), and (-9, -97).
Common Mistakes and How to Avoid Them in Factors of 873
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 873, 1 and 873 are also factors.
Factors of 873 Examples
Problem 1
There are 3 friends and 873 marbles. How will they divide it equally?
They will get 291 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles with the number of friends.
873/3 = 291
Problem 2
A field is rectangular, the length of the field is 97 meters and the total area is 873 square meters. Find the width.
9 meters.
Explanation
To find the width of the field, we use the formula, Area = length × width
873 = 97 × width
To find the value of width, we need to shift 97 to the left side.
873/97 = width
Width = 9.
Problem 3
There are 9 bags and 873 candies. How many candies will be in each bag?
Each bag will have 97 candies.
Explanation
To find the candies in each bag, divide the total candies with the bags. 873/9 = 97
Problem 4
In a class, there are 873 students, and 3 groups. How many students are there in each group?
There are 291 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
873/3 = 291
Problem 5
873 books need to be arranged in 97 shelves. How many books will go on each shelf?
Each of the shelves has 9 books.
Explanation
Divide total books with shelves.
873/97 = 9
FAQs on Factors of 873
1.What are the factors of 873?
2.Mention the prime factors of 873.
3.Is 873 a multiple of 9?
4.Mention the factor pairs of 873?
5.What is the square of 873?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 873?
7.What are some fun ways kids in Bahrain can practice Factors of 873 with numbers?
8.What role do numbers and Factors of 873 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 873 skills?
Important Glossaries for Factors of 873
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 873 are 1, 3, 9, 97, 291, and 873.
- Prime factors: The factors which are prime numbers. For example, 3 and 97 are prime factors of 873.
- 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 873 are (1, 873), (3, 291), and (9, 97).
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 873 is 32 × 97.
- Multiplication method: Identifying pairs of numbers that multiply to give a particular number. For example, using the multiplication method to find factor pairs of 873.
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About BrightChamps in Bahrain
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.
