100 LearnersLast updated on May 26th, 2025
Factors of 853
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 853, how they are used in real life, and tips to learn them quickly.
What are the Factors of 853?
The numbers that divide 853 evenly are known as factors of 853.
A factor of 853 is a number that divides the number without a remainder.
The factors of 853 are 1, 853.
Negative factors of 853: -1, -853.
Prime factors of 853: 853 (since 853 is a prime number).
The sum of factors of 853: 1 + 853 = 854
How to Find Factors of 853?
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 853.
Since 853 is a prime number, its only factor pairs are 1 and 853.
Therefore, the positive factor pair of 853 is: (1, 853).
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 853 by 1, 853 ÷ 1 = 853.
Step 2: Continue dividing 853 by other numbers, but since it's prime, only 1 and 853 divide it evenly.
Therefore, the factors of 853 are: 1, 853.
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: Since 853 is a prime number, it cannot be broken down further into other prime factors.
The prime factorization of 853 is just 853.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 853 is a prime number, the factor tree will simply have 853 itself without any branches. So, the prime factorization of 853 is 853.
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 pair of 853: (1, 853).
Negative factor pair of 853: (-1, -853).
Common Mistakes and How to Avoid Them in Factors of 853
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 853, 1 and 853 is also a factor.
Factors of 853 Examples
Problem 1
There are 853 apples and 1 basket. How will they fit?
All 853 apples will fit in the basket.
Explanation
To fit all the apples, we need to consider the total number of apples and baskets.
853/1 = 853
Problem 2
A piece of land is rectangular with a length of 1 meter and a total area of 853 square meters. What is the width?
853 meters.
Explanation
To find the width of the land, use the formula, Area = length × width
853 = 1 × width
To find the value of width, divide the area by the length.
853/1 = width
Width = 853.
Problem 3
There is 1 classroom and 853 chairs. How many chairs will be in the classroom?
All 853 chairs will be in the classroom.
Explanation
To find the number of chairs in the classroom, divide the total chairs by the number of classrooms.
853/1 = 853
Problem 4
In a stadium, there are 853 seats, and 1 section. How many seats are there in each section?
There are 853 seats in the section.
Explanation
Dividing the seats by the number of sections gives the number of seats per section.
853/1 = 853
Problem 5
853 files need to be stored in 1 cabinet. How many files will go in the cabinet?
All 853 files will go in the cabinet.
Explanation
Divide total files by the number of cabinets.
853/1 = 853
FAQs on Factors of 853
1.What are the factors of 853?
2.Mention the prime factors of 853.
3.Is 853 a multiple of 2?
4.Mention the factor pairs of 853?
5.What is the square of 853?
Important Glossaries for Factors of 853
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 853 are 1 and 853.
- Prime factors: The factors which are prime numbers. For example, 853 is a prime factor of itself.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number are called factor pairs. For example, the factor pair of 853 is (1, 853).
- Prime number: A number greater than 1 that has no positive divisors other than 1 and itself. For example, 853 is a prime number.
- Multiple: A multiple of a number is the product of that number and an integer. For example, 853 is not a multiple of 2.
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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.
