100 LearnersLast updated on May 26th, 2025
Factors of 482
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 482, how they are used in real life, and tips to learn them quickly.
What are the Factors of 482?
The numbers that divide 482 evenly are known as factors of 482.
A factor of 482 is a number that divides the number without a remainder.
The factors of 482 are 1, 2, 241, and 482.
Negative factors of 482: -1, -2, -241, and -482.
Prime factors of 482: 2 and 241.
Prime factorization of 482: 2 × 241. The sum of factors of 482: 1 + 2 + 241 + 482 = 726
How to Find Factors of 482?
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 482. Identifying the numbers which are multiplied to get the number 482 is the multiplication method.
Step 1: Multiply 482 by 1, 482 × 1 = 482.
Step 2: Check for other numbers that give 482 after multiplying
2 × 241 = 482
Therefore, the positive factor pairs of 482 are: (1, 482) and (2, 241).
All these factor pairs result in 482.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with the 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 482 by 1, 482 ÷ 1 = 482.
Step 2: Continue dividing 482 by the numbers until the remainder becomes 0.
482 ÷ 1 = 482
482 ÷ 2 = 241
Therefore, the factors of 482 are: 1, 2, 241, and 482.
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 a factor tree
Using Prime Factorization: In this process, prime factors of 482 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
482 ÷ 2 = 241
241 ÷ 241 = 1
The prime factors of 482 are 2 and 241.
The prime factorization of 482 is: 2 × 241.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following steps show -
Step 1: Firstly, 482 is divided by 2 to get 241.
Step 2: Now divide 241 by 241 to get 1.
Here, 241 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 482 is: 2 × 241.
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 482: (1, 482) and (2, 241).
Negative factor pairs of 482: (-1, -482) and (-2, -241).
Common Mistakes and How to Avoid Them in Factors of 482
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 word. Always remember to include 1 and the number itself.
For example, in factors of 482, 1 and 482 are also factors.
Factors of 482 Examples
Problem 1
There are 2 students and 482 pages in a book. How will they divide the pages equally?
They will get 241 pages each.
Explanation
To divide the pages equally, we need to divide the total pages by the number of students.
482/2 = 241
Problem 2
A rectangular garden has a length of 241 meters and a total perimeter of 482 meters. Find the width.
0 meters (This is a trick question as the length and perimeter do not correspond logically for a real rectangle).
Explanation
Since the perimeter is calculated as 2(length + width), the given numbers do not logically fit a real rectangle.
Problem 3
There are 241 boxes and 482 items. How many items will be in each box, assuming equal distribution?
Each box will have 2 items.
Explanation
To find the items in each box, divide the total items by the number of boxes.
482/241 = 2
Problem 4
In a theater, there are 482 seats, and 2 rows. How many seats are there in each row?
There are 241 seats in each row.
Explanation
Dividing the seats by the total rows, we will get the number of seats in each row.
482/2 = 241
Problem 5
482 books need to be stored in 2 libraries equally. How many books will go in each library?
Each of the libraries will have 241 books.
Explanation
Divide total books by the libraries.
482/2 = 241
FAQs on Factors of 482
1.What are the factors of 482?
2.Mention the prime factors of 482.
3.Is 482 a multiple of 2?
4.Mention the factor pairs of 482?
5.What is the square of 482?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 482?
7.What are some fun ways kids in United Kingdom can practice Factors of 482 with numbers?
8.What role do numbers and Factors of 482 play in helping children in United Kingdom develop problem-solving skills?
9.How can families in United Kingdom create number-rich environments to improve Factors of 482 skills?
Important Glossaries for Factor of 482
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 482 are 1, 2, 241, and 482.
- Prime factors: The factors which are prime numbers. For example, 2 and 241 are prime factors of 482.
- 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 482 are (1, 482), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 482 is 2 × 241.
- Multiples: Multiples of a number are obtained by multiplying the number by integers. For example, 482 is a multiple of 2.
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About BrightChamps in United Kingdom
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.
