100 LearnersLast updated on May 26th, 2025
Factors of 981
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 981, how they are used in real life, and tips to learn them quickly.
What are the Factors of 981?
The numbers that divide 981 evenly are known as factors of 981.
A factor of 981 is a number that divides the number without a remainder.
The factors of 981 are 1, 3, 9, 109, 327, and 981.
Negative factors of 981: -1, -3, -9, -109, -327, and -981.
Prime factors of 981: 3 and 109.
Prime factorization of 981: 3² × 109.
The sum of factors of 981: 1 + 3 + 9 + 109 + 327 + 981 = 1430
How to Find Factors of 981?
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 981. Identifying the numbers which are multiplied to get the number 981 is the multiplication method.
Step 1: Multiply 981 by 1, 981 × 1 = 981.
Step 2: Check for other numbers that give 981 after multiplying 3 × 327 = 981 9 × 109 = 981
Therefore, the positive factor pairs of 981 are: (1, 981), (3, 327), (9, 109).
All these factor pairs result in 981.
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 the simple division method
Step 1: Divide 981 by 1, 981 ÷ 1 = 981.
Step 2: Continue dividing 981 by the numbers until the remainder becomes 0.
981 ÷ 1 = 981
981 ÷ 3 = 327
981 ÷ 9 = 109
Therefore, the factors of 981 are: 1, 3, 9, 109, 327, 981.
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 981 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
981 ÷ 3 = 327
327 ÷ 3 = 109
109 ÷ 109 = 1
The prime factors of 981 are 3 and 109.
The prime factorization of 981 is: 3² × 109.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 981 is divided by 3 to get 327.
Step 2: Now divide 327 by 3 to get 109.
Step 3: Here, 109 is a prime number, that cannot be divided anymore. So, the prime factorization of 981 is: 3² × 109.
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 981: (1, 981), (3, 327), (9, 109).
Negative factor pairs of 981: (-1, -981), (-3, -327), (-9, -109).
Common Mistakes and How to Avoid Them in Factors of 981
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 981, 1 and 981 are also factors.
Factors of 981 Examples
Problem 1
A team of 9 people has 981 candies. How will they divide it equally?
They will get 109 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of people.
981/9 = 109
Problem 2
A rectangular hall has a length of 3 meters and a total area of 981 square meters. Find its width.
327 meters.
Explanation
To find the width of the hall, we use the formula
Area = length × width
981 = 3 × width
To find the value of width, we need to shift 3 to the left side.
981/3 = width
Width = 327.
Problem 3
There are 3 sections in a library with a total of 981 books. How many books are in each section?
Each section will have 327 books.
Explanation
To find the books in each section, divide the total books by the number of sections.
981/3 = 327
Problem 4
In a competition, there are 327 participants and 3 teams. How many participants are in each team?
There are 109 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
327/3 = 109
Problem 5
981 trees need to be planted in 9 rows. How many trees will go in each row?
Each row will have 109 trees.
Explanation
Divide total trees by the number of rows.
981/9 = 109
FAQs on Factors of 981
1.What are the factors of 981?
2.Mention the prime factors of 981.
3.Is 981 a multiple of 9?
4.Mention the factor pairs of 981?
5.What is the square of 981?
6.How can children in Qatar use numbers in everyday life to understand Factors of 981?
7.What are some fun ways kids in Qatar can practice Factors of 981 with numbers?
8.What role do numbers and Factors of 981 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 981 skills?
Important Glossaries for Factor of 981
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 981 are 1, 3, 9, 109, 327, and 981.
- Prime factors: The factors which are prime numbers. For example, 3 and 109 are prime factors of 981.
- 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 981 are (1, 981), (3, 327), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 981 is expressed as 3² × 109.
- Divisibility: The ability of one number to be divided by another without a remainder. For example, 9 is a factor of 981 because 981 can be divided by 9 without a remainder.
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About BrightChamps in Qatar
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.
