122 LearnersLast updated on May 26th, 2025
Factors of 983
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 983, how they are used in real life, and tips to learn them quickly.
What are the Factors of 983?
The numbers that divide 983 evenly are known as factors of 983.
A factor of 983 is a number that divides the number without remainder.
The factors of 983 are 1 and 983.
Negative factors of 983: -1 and -983.
Prime factors of 983: 983.
Prime factorization of 983: 983 (since it is a prime number).
The sum of factors of 983: 1 + 983 = 984
How to Find Factors of 983?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 983. Since 983 is a prime number, the only multiplication pair is:
Step 1: Multiply 983 by 1, 983 × 1 = 983. Therefore, the positive factor pair of 983 is: (1, 983). For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number 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 983 by 1, 983 ÷ 1 = 983.
Step 2: Check other numbers from 2 up to 31 (since √983 ≈ 31.34) to see if they divide 983 evenly. None do, confirming 983 is prime. Therefore, the factors of 983 are: 1 and 983.
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: In this process, the prime factors of 983 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
However, 983 is already a prime number, so its prime factorization is simply 983 itself.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. For 983, since it is a prime number, the factor tree is very straightforward: 983 Here, 983 is the smallest prime number, and it cannot be divided anymore. So, the prime factorization of 983 is: 983.
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 983: (1, 983).
Negative factor pairs of 983: (-1, -983).
Common Mistakes and How to Avoid Them in Factors of 983
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every integer. Always remember to include 1 and the number itself.
For example, in factors of 983, 1 and 983 are also factors.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, so always check whether you have mentioned negative factors.
For example, the factors of 983 include -1 and -983.
Mistake 3
Including the Fraction
Sometimes, fractions might be mistakenly considered factors. Only whole numbers can be factors.
For example, thinking 983/2 = 491.5 as a factor is incorrect, as it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking 983 only has prime factors is correct, but it also has other factors: 1 and 983 itself.
Mistake 5
Mistake in Factorization
Skipping steps in factorization might lead to incorrect answers.
For example, not recognizing 983 as a prime number might cause confusion. Always verify by checking divisibility.
Factors of 983 Examples
Problem 1
There are 983 pieces of art and they need to be displayed in a gallery that can only display one piece per section. How many sections are needed?
983 sections are needed.
Explanation
To display the art pieces equally, each section will display 1 piece.
Therefore, 983 pieces require 983 sections.
Problem 2
A novel has 983 pages. If each chapter can only have one page, how many chapters does the novel have?
983 chapters.
Explanation
To determine the number of chapters, we use the number of pages directly, since each chapter has one page.
983 pages = 983 chapters.
Problem 3
A company has 983 employees and wants to give each one a unique badge number starting from 1. What is the highest badge number?
The highest badge number is 983.
Explanation
Since each employee gets a unique badge number starting from 1, the highest badge number will be equal to the number of employees, which is 983.
Problem 4
There are 983 data files to be backed up onto drives, and each drive can hold one file. How many drives are needed?
983 drives are needed.
Explanation
One data file per drive means you need the same number of drives as there are files.
Therefore, 983 drives are needed.
Problem 5
A marathon has 983 runners, and each runner receives a unique bib number. What is the range of bib numbers?
The range of bib numbers is from 1 to 983.
Explanation
Each runner gets a unique bib number starting from 1 up to the total number of runners.
Therefore, the range is 1 to 983.
FAQs on Factors of 983
1.What are the factors of 983?
2.Mention the prime factors of 983.
3.Is 983 a multiple of 2?
4.Mention the factor pairs of 983?
5.What is the square of 983?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 983?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 983 with numbers?
8.What role do numbers and Factors of 983 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 983 skills?
Important Glossaries for Factors of 983
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 983 are 1 and 983.
- Prime factors: The factors which are prime numbers. For example, 983 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 983 is (1, 983).
- Prime number: A number greater than 1 that has no divisors other than 1 and itself. For example, 983 is a prime number.
- Divisibility: The ability for one number to be divided by another without leaving a remainder. For example, 983 is only divisible by 1 and itself.
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About BrightChamps in United Arab Emirates
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.
