Factors of 481
2026-02-28 01:20 Diff
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Last updated on December 12, 2025

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.

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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: 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.

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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?

Okay, lets begin

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

Well explained 👍

Problem 2

A rectangular garden has a length of 37 meters and a total area of 481 square meters. Find the width.

Okay, lets begin

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.

Well explained 👍

Problem 3

There are 481 candies and 13 bags. How many candies will be in each bag?

Okay, lets begin

Each bag will have 37 candies.

Explanation

To find the candies in each bag, divide the total candies by the bags.

481/13 = 37

Well explained 👍

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?

Okay, lets begin

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

Well explained 👍

Problem 5

A factory has 481 items and wants to pack them into 13 boxes equally. How many items will go in each box?

Okay, lets begin

Each box will have 37 items.

Explanation

Divide total items by boxes.

481/13 = 37

Well explained 👍

FAQs on Factors of 481

1.What are the factors of 481?

1, 13, 37, 481 are the factors of 481.

2.Mention the prime factors of 481.

The prime factors of 481 are 13 × 37.

3.Is 481 a multiple of 13?

4.Mention the factor pairs of 481?

(1, 481) and (13, 37) are the factor pairs of 481.

5.What is the square of 481?

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.