102 LearnersLast updated on May 26th, 2025
Factors of 481
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 481, how they are used in real life, and tips to learn them quickly.
What are the Factors of 481?
The numbers that divide 481 evenly are known as factors of 481.
A factor of 481 is a number that divides the number without remainder.
The factors of 481 are 1, 13, 37, and 481.
Negative factors of 481: -1, -13, -37, and -481.
Prime factors of 481: 13 and 37.
Prime factorization of 481: 13 × 37. The sum of factors of 481: 1 + 13 + 37 + 481 = 532
How to Find Factors of 481?
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 481. Identifying the numbers which are multiplied to get the number 481 is the multiplication method.
Step 1: Multiply 481 by 1, 481 × 1 = 481.
Step 2: Check for other numbers that give 481 after multiplying
13 × 37 = 481
Therefore, the positive factor pairs of 481 are: (1, 481) and (13, 37).
All these factor pairs result in 481.
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 481 by 1, 481 ÷ 1 = 481.
Step 2: Continue dividing 481 by the numbers until the remainder becomes 0.
481 ÷ 1 = 481
481 ÷ 13 = 37
481 ÷ 37 = 13
Therefore, the factors of 481 are: 1, 13, 37, 481.
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 481 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
481 ÷ 13 = 37
37 ÷ 37 = 1
The prime factors of 481 are 13 and 37.
The prime factorization of 481 is: 13 × 37.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 481 is divided by 13 to get 37.
Step 2: Now divide 37 by 37 to get 1.
Here, 37 is a prime number, that cannot be divided anymore.
So, the prime factorization of 481 is: 13 × 37.
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 481: (1, 481) and (13, 37).
Negative factor pairs of 481: (-1, -481) and (-13, -37).
Common Mistakes and How to Avoid Them in Factors of 481
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 481, 1 and 481 are also factors.
Factors of 481 Examples
Problem 1
A library has 481 books and wants to arrange them in sections with equal numbers of books. If each section can hold 13 books, how many sections will there be?
There will be 37 sections.
Explanation
To divide the books equally into sections, we need to divide the total books by the number of books per section.
481/13 = 37
Problem 2
A rectangular garden has a length of 37 meters and a total area of 481 square meters. Find the width.
13 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
481 = 37 × width
To find the value of width, we need to shift 37 to the left side.
481/37 = width
Width = 13.
Problem 3
There are 481 candies and 13 bags. How many candies will be in each bag?
Each bag will have 37 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
481/13 = 37
Problem 4
In a group of 481 students, they need to be divided into teams of 37 students each. How many teams will there be?
There will be 13 teams.
Explanation
Dividing the students by the total number of students per team, we will get the number of teams.
481/37 = 13
Problem 5
A factory has 481 items and wants to pack them into 13 boxes equally. How many items will go in each box?
Each box will have 37 items.
Explanation
Divide total items by boxes.
481/13 = 37
FAQs on Factors of 481
1.What are the factors of 481?
2.Mention the prime factors of 481.
3.Is 481 a multiple of 13?
4.Mention the factor pairs of 481?
5.What is the square of 481?
6.How can children in United Kingdom use numbers in everyday life to understand Factors of 481?
7.What are some fun ways kids in United Kingdom can practice Factors of 481 with numbers?
8.What role do numbers and Factors of 481 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 481 skills?
Important Glossaries for Factor of 481
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 481 are 1, 13, 37, and 481.
- Prime factors: The factors which are prime numbers. For example, 13 and 37 are prime factors of 481.
- 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 481 are (1, 481) and (13, 37).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 481 is 13 × 37.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, for 481, the multiplication method finds the pairs (1, 481) and (13, 37).
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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.
