113 LearnersLast updated on May 26th, 2025
Factors of 843
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 843, how they are used in real life, and tips to learn them quickly.
What are the Factors of 843?
The numbers that divide 843 evenly are known as factors of 843.
A factor of 843 is a number that divides the number without a remainder.
The factors of 843 are 1, 3, 281, and 843.
Negative factors of 843: -1, -3, -281, and -843.
Prime factors of 843: 3 and 281.
Prime factorization of 843: 3 × 281.
The sum of factors of 843: 1 + 3 + 281 + 843 = 1128
How to Find Factors of 843?
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 843. Identifying the numbers which are multiplied to get the number 843 is the multiplication method.
Step 1: Multiply 843 by 1, 843 × 1 = 843.
Step 2: Check for other numbers that give 843 after multiplying: 3 × 281 = 843
Therefore, the positive factor pairs of 843 are: (1, 843) and (3, 281).
All these factor pairs result in 843.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 843 by 1, 843 ÷ 1 = 843.
Step 2: Continue dividing 843 by the numbers until the remainder becomes 0.
843 ÷ 1 = 843
843 ÷ 3 = 281
Therefore, the factors of 843 are: 1, 3, 281, 843.
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 843 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
843 ÷ 3 = 281
281 is a prime number.
The prime factors of 843 are 3 and 281.
The prime factorization of 843 is: 3 × 281.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 843 is divided by 3 to get 281.
Step 2: 281 is a prime number and cannot be divided further. So, the prime factorization of 843 is: 3 × 281.
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 843: (1, 843) and (3, 281).
- Negative factor pairs of 843: (-1, -843) and (-3, -281).
Common Mistakes and How to Avoid Them in Factors of 843
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 843, 1 and 843 are also factors.
Factors of 843 Examples
Problem 1
There are 3 teams and 843 apples. How will they divide it equally?
They will get 281 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
843/3 = 281
Problem 2
A banner is rectangular, the length of the banner is 3 meters and the total area is 843 square meters. Find the width?
281 meters.
Explanation
To find the width of the banner, we use the formula,
Area = length × width
843 = 3 × width
To find the value of width, we need to shift 3 to the left side.
843/3 = width
Width = 281.
Problem 3
There are 281 pages in a book and 843 students. How many students will receive one page each?
Each student will receive one page.
Explanation
To find out how many students receive a page each, divide the total number of pages by the number of students.
843/281 = 3
Problem 4
In a marathon, there are 843 participants, and 3 groups. How many participants are in each group?
There are 281 participants in each group.
Explanation
Dividing the participants by the total groups, we will get the number of participants in each group.
843/3 = 281
Problem 5
843 flowers need to be arranged in 3 vases. How many flowers will go into each vase?
Each of the vases has 281 flowers.
Explanation
Divide the total flowers by the number of vases.
843/3 = 281
FAQs on Factors of 843
1.What are the factors of 843?
2.Mention the prime factors of 843.
3.Is 843 a multiple of 3?
4.Mention the factor pairs of 843?
5.What is the square of 843?
Important Glossaries for Factor of 843
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 843 are 1, 3, 281, and 843.
- Prime factors: The factors which are prime numbers. For example, 3 and 281 are prime factors of 843.
- 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 843 are (1, 843) and (3, 281).
- Prime factorization: The process of breaking down a number into its prime factors, e.g., 843 = 3 × 281.
- Multiples: Numbers that can be divided by a given number without a remainder. For example, 843 is a multiple of 3.
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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.
Fun Fact
: She loves to read number jokes and games.
