100 LearnersLast updated on May 26th, 2025
Factors of 863
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 863, how they are used in real life, and tips to learn them quickly.
What are the Factors of 863?
The numbers that divide 863 evenly are known as factors of 863.
A factor of 863 is a number that divides the number without remainder.
The factors of 863 are 1 and 863, as 863 is a prime number.
Negative factors of 863: -1 and -863.
Since 863 is a prime number, it does not have any other prime factors or prime factorization apart from 1 and 863 itself.
The sum of factors of 863: 1 + 863 = 864
How to Find Factors of 863?
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 863. Since 863 is a prime number, the only multiplication pair is 1 × 863.
Therefore, the positive factor pairs of 863 are: (1, 863).
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 can be calculated by following a simple division method
Step 1: Divide 863 by 1, 863 ÷ 1 = 863.
Step 2: Check for other numbers that leave a remainder of 0.
Since 863 is a prime number, no other divisions result in integer results except 863 ÷ 1 and 863 ÷ 863.
Therefore, the factors of 863 are: 1 and 863.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. For a prime number like 863, the prime factorization doesn't break it into smaller prime factors since it is already a prime number.
The only prime factors of 863 are 1 and 863 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. Since 863 is a prime number, it cannot be broken down further. Therefore, it is represented simply as 1 × 863.
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 863: (1, 863).
Negative factor pairs of 863: (-1, -863).
Common Mistakes and How to Avoid Them in Factors of 863
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 863, 1 and 863 are factors.
Factors of 863 Examples
Problem 1
There are 863 apples and 1 basket. How will you arrange them?
All 863 apples will go into the basket.
Explanation
To arrange the apples, use the factor 1, as 863 ÷ 1 = 863.
Problem 2
A narrow garden is 1 meter wide and has an area of 863 square meters. What is its length?
863 meters.
Explanation
To find the length of the garden, use the formula, Area = length × width
863 = length × 1
Length = 863.
Problem 3
There are 863 students and 1 bus. How many students will each bus carry?
Each bus will carry 863 students.
Explanation
With only 1 bus, all students must be carried by it, as 863 ÷ 1 = 863.
Problem 4
There are 863 cards and 1 person. How many cards will each person receive?
The person will receive 863 cards.
Explanation
Since there's only 1 person, they receive all cards:
863 ÷ 1 = 863.
Problem 5
There are 863 books to be placed on 1 shelf. How many books will be on the shelf?
There will be 863 books on the shelf.
Explanation
With only 1 shelf, all books go there:
863 ÷ 1 = 863.
FAQs on Factors of 863
1.What are the factors of 863?
2.Mention the prime factors of 863.
3.Is 863 a multiple of 2?
4.Mention the factor pairs of 863?
5.What is the square of 863?
Important Glossaries for Factor of 863
- Factors: The numbers that divide a given number without leaving a remainder are called factors. For example, the factors of 863 are 1 and 863.
- Prime number: A number that has no other divisors than 1 and itself. For example, 863 is a prime number.
- Factor pairs: Two numbers in a pair that are multiplied to give the original number. For example, the factor pair of 863 is (1, 863).
- Negative factors: The negative counterparts of positive factors. For example, -1 and -863 are negative factors of 863.
- Factorization: The process of breaking down a number into its factors. For example, the factorization of 863 is simply 1 and 863, as it is a prime number.
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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.
