143 LearnersLast updated on May 29th, 2025
Factors of 883
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 883, how they are used in real life, and tips to learn them quickly.
What are the Factors of 883?
The numbers that divide 883 evenly are known as factors of 883.
A factor of 883 is a number that divides the number without remainder.
The factors of 883 are 1 and 883.
Negative factors of 883: -1 and -883.
Since 883 is a prime number, it does not have any prime factors other than itself and 1.
Sum of factors of 883: 1 + 883 = 884
How to Find Factors of 883?
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 883. Since 883 is a prime number, the only pairs are:
Step 1: Multiply 883 by 1, 883 × 1 = 883.
Therefore, the positive factor pair of 883 is: (1, 883).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number by 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 this simple division method:
Step 1: Divide 883 by 1, 883 ÷ 1 = 883.
Step 2: Check if 883 can be divided by any other number without a remainder.
Since 883 is a prime number, it cannot be divided by any other number than 1 and 883 itself.
Therefore, the factors of 883 are: 1 and 883.
Prime Factors and Prime Factorization
The factors can be found by dividing it by prime numbers.
For 883, since it is a prime number, the only prime factor is 883 itself.
Using Prime Factorization: In this process, since 883 is a prime number, it cannot be broken down further into other prime numbers.
Therefore, the prime factorization of 883 is simply 883.
Factor Tree
A factor tree is a graphical representation of breaking down any number into prime factors.
Since 883 is a prime number, it cannot be broken down further.
Therefore, the factor tree for 883 is trivial, as it only includes the number 883 itself.
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 883: (1, 883).
Negative factor pairs of 883: (-1, -883).
Common Mistakes and How to Avoid Them in Factors of 883
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 factors. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 883, 1 and 883 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 883 include -1 and -883.
Mistake 3
Including the Fraction
Children might sometimes mistakenly consider fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor because 883/1.5 is not a whole number would be incorrect.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only primes.
For example, thinking all the factors of 883 are prime numbers.
In fact, for 883, the only factors are 1 and 883 itself, as it is a prime number.
Mistake 5
Mistake in Factorization
Children might skip steps in factorization and end up with incorrect factors.
For example, forgetting that 883 cannot be broken down into other factors since it is a prime number.
Factors of 883 Examples
Problem 1
A school has 883 students and wants to form a single line for a parade. How many students will be in the line?
All 883 students will be in the line.
Explanation
Since they want to form a single line, all students will be included in the line, which totals 883 students.
Problem 2
A new library has 883 books, and they want to create a book club with each member getting one book. How many members will there be if each gets one book?
There will be 883 members.
Explanation
Since each member gets one book, there will be 883 members, as there are 883 books.
Problem 3
An event has 883 chairs and they want to arrange them in a single long row. How many chairs will there be in each row?
There will be 883 chairs in the row.
Explanation
Since they want a single long row, all 883 chairs will be in that one row.
Problem 4
A company has 883 employees and wants to split them into groups of one for individual tasks. How many groups will there be?
There will be 883 groups.
Explanation
Since each group consists of one employee, there will be 883 groups.
Problem 5
There are 883 identical items and these need to be packaged individually. How many packages will be needed?
883 packages will be needed.
Explanation
Since each item is packaged individually, 883 packages will be needed for 883 items.
FAQs on Factors of 883
1.What are the factors of 883?
2.Mention the prime factors of 883.
3.Is 883 a multiple of any number other than 1 and 883?
4.Mention the factor pairs of 883?
5.Is 883 a prime number?
Important Glossaries for Factors of 883
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 883 are 1 and 883.
- Prime factors: The factors which are prime numbers. For example, 883 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 883 is (1, 883).
- Prime number: A number that is only divisible by 1 and itself. For example, 883 is a prime number.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number. For example, for 883, the multiplication method gives us (1, 883).
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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.
