Factors of 381
2026-02-28 11:06 Diff
https://brightchamps.com/en-us/math/numbers/factors-of-381

248 Learners

Last updated on December 12, 2025

Factors are the numbers that divide any given number evenly without 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 381, how they are used in real life, and the tips to learn them quickly.

What are the Factors of 381?

The numbers that divide 381 evenly are known as factors of 381. A factor of 381 is a number that divides the number without remainder.

The factors of 381 are 1, 3, 127, and 381.

Negative factors of 381: -1, -3, -127, and -381.

Prime factors of 381: 3 and 127.

Prime factorization of 381: 3 × 127.

The sum of factors of 381: 1 + 3 + 127 + 381 = 512

How to Find Factors of 381?

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 381. Identifying the numbers which are multiplied to get the number 381 is the multiplication method.

Step 1: Multiply 381 by 1, 381 × 1 = 381.

Step 2: Check for other numbers that give 381 after multiplying  

3 × 127 = 381

Therefore, the positive factor pairs of 381 are: (1, 381) and (3, 127). All these factor pairs result in 381. For every positive factor, there is a negative factor.

Explore Our Programs

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 381 by 1, 381 ÷ 1 = 381.

Step 2: Continue dividing 381 by the numbers until the remainder becomes 0.

  • 381 ÷ 1 = 381
     
  • 381 ÷ 3 = 127

Therefore, the factors of 381 are: 1, 3, 127, 381.

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 381 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.

381 ÷ 3 = 127

127 is a prime number, so we stop here. The prime factors of 381 are 3 and 127.

The prime factorization of 381 is: 3 × 127.

Factor Tree

The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows 

Step 1: Firstly, 381 is divided by 3 to get 127.

Step 2: Since 127 is a prime number, it cannot be divided further. So, the prime factorization of 381 is: 3 × 127.

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 381: (1, 381) and (3, 127).

Negative factor pairs of 381: (-1, -381) and (-3, -127).

Common Mistakes and How to Avoid Them in Factors of 381

Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.

Download Worksheets

Problem 1

There are 3 teams and 381 participants. How will they divide them equally?

Okay, lets begin

They will get 127 participants each.

Explanation

To divide the participants equally, we need to divide the total participants by the number of teams.

381/3 = 127

Well explained 👍

Problem 2

A banner is rectangular, the length of the banner is 3 meters and the total area is 381 square meters. Find the width.

Okay, lets begin

127 meters.

Explanation

To find the width of the banner, we use the formula,   

Area = length × width     

381 = 3 × width     

To find the value of width, we need to shift 3 to the left side.     

381/3 = width     

Width = 127.

Well explained 👍

Problem 3

There are 127 boxes and 381 items. How many items will be in each box?

Okay, lets begin

Each box will have 3 items.

Explanation

To find the items in each box, divide the total items by the boxes.     

381/127 = 3

Well explained 👍

Problem 4

In a tournament, there are 381 players and 3 divisions. How many players are there in each division?

Okay, lets begin

There are 127 players in each division.

Explanation

Dividing the players by the total divisions, we will get the number of players in each division.     

381/3 = 127

Well explained 👍

Problem 5

381 chairs need to be arranged in 3 rows. How many chairs will go in each row?

Okay, lets begin

Each of the rows has 127 chairs.

Explanation

Divide total chairs by rows.     

381/3 = 127

Well explained 👍

FAQs on Factors of 381

1.What are the factors of 381?

1, 3, 127, 381 are the factors of 381.

2.Mention the prime factors of 381.

The prime factors of 381 are 3 × 127.

3.Is 381 a multiple of 3?

4.Mention the factor pairs of 381?

(1, 381) and (3, 127) are the factor pairs of 381.

5.What is the square of 381?

Important Glossaries for Factor of 381

  • Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 381 are 1, 3, 127, and 381.
  • Prime factors: The factors which are prime numbers. For example, 3 and 127 are prime factors of 381.
  • 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 381 are (1, 381) and (3, 127).
  • Prime factorization: The expression of a number as a product of its prime factors. For 381, it is 3 × 127.
  • Negative factors: These are negative numbers that divide the original number completely. For example, the negative factors of 381 are -1, -3, -127, and -381.

What Are Numbers? 🔢 | Fun Explanation with 🎯 Real-Life Examples for Kids | ✨BrightCHAMPS Math

▶

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.