100 LearnersLast updated on May 26th, 2025
Factors of 484
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 484, how they are used in real life, and tips to learn them quickly.
What are the Factors of 484?
The numbers that divide 484 evenly are known as factors of 484.
A factor of 484 is a number that divides the number without a remainder.
The factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484.
Negative factors of 484: -1, -2, -4, -11, -22, -44, -121, -242, and -484.
Prime factors of 484: 2 and 11.
Prime factorization of 484: 22 × 112.
The sum of factors of 484: 1 + 2 + 4 + 11 + 22 + 44 + 121 + 242 + 484 = 931
How to Find Factors of 484?
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 484. Identifying the numbers which are multiplied to get the number 484 is the multiplication method.
Step 1: Multiply 484 by 1, 484 × 1 = 484.
Step 2: Check for other numbers that give 484 after multiplying
2 × 242 = 484
4 × 121 = 484
11 × 44 = 484
22 × 22 = 484
Therefore, the positive factor pairs of 484 are: (1, 484), (2, 242), (4, 121), (11, 44), and (22, 22).
All these factor pairs result in 484.
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 a simple division method -
Step 1: Divide 484 by 1, 484 ÷ 1 = 484.
Step 2: Continue dividing 484 by the numbers until the remainder becomes 0.
484 ÷ 1 = 484
484 ÷ 2 = 242
484 ÷ 4 = 121
484 ÷ 11 = 44
484 ÷ 22 = 22
Therefore, the factors of 484 are: 1, 2, 4, 11, 22, 44, 121, 242, 484.
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, prime factors of 484 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
484 ÷ 2 = 242
242 ÷ 2 = 121
121 ÷ 11 = 11
11 ÷ 11 = 1
The prime factors of 484 are 2 and 11.
The prime factorization of 484 is: 22 × 112.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 484 is divided by 2 to get 242.
Step 2: Now divide 242 by 2 to get 121.
Step 3: Then divide 121 by 11 to get 11.
Here, 11 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 484 is: 22 × 112.
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 484: (1, 484), (2, 242), (4, 121), (11, 44), and (22, 22).
Negative factor pairs of 484: (-1, -484), (-2, -242), (-4, -121), (-11, -44), and (-22, -22).
Common Mistakes and How to Avoid Them in Factors of 484
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 484, 1 and 484 are also factors.
Factors of 484 Examples
Problem 1
There are 11 teams in a tournament and 484 players. How will they be distributed equally among the teams?
Each team will have 44 players.
Explanation
To distribute the players equally, we need to divide the total players by the number of teams.
484/11 = 44
Problem 2
A rectangular garden has a length of 22 meters and a total area of 484 square meters. What is the width?
22 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
484 = 22 × width
To find the value of width, divide both sides by 22.
484/22 = width
Width = 22.
Problem 3
There are 4 containers and 484 marbles. How many marbles will be in each container?
Each container will have 121 marbles.
Explanation
To find the marbles in each container, divide the total marbles by the containers.
484/4 = 121
Problem 4
In a school, there are 484 students, and 121 seats in the auditorium. How many students can be seated in each seat?
Each seat will have 4 students.
Explanation
Dividing the students with the total seats, we will get the number of students per seat.
484/121 = 4
Problem 5
484 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each shelf will have 242 books.
Explanation
Divide total books by shelves.
484/2 = 242
FAQs on Factors of 484
1.What are the factors of 484?
2.Mention the prime factors of 484.
3.Is 484 a multiple of 22?
4.Mention the factor pairs of 484?
5.What is the square of 484?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 484?
7.What are some fun ways kids in Bahrain can practice Factors of 484 with numbers?
8.What role do numbers and Factors of 484 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 484 skills?
Important Glossaries for Factor of 484
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, and 484.
- Prime Factors: The factors which are prime numbers. For example, 2 and 11 are prime factors of 484. c
- 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 484 are (1, 484), (2, 242), etc.
- Prime Factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 484 is 22 × 112.
- Multiple: A number that can be divided by another number without a remainder. For example, 484 is a multiple of 22.
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About BrightChamps in Bahrain
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.
