Last updated on May 26th, 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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
Therefore, the factors of 381 are: 1, 3, 127, 381.
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 3 teams and 381 participants. How will they divide them equally?
They will get 127 participants each.
To divide the participants equally, we need to divide the total participants by the number of teams.
381/3 = 127
A banner is rectangular, the length of the banner is 3 meters and the total area is 381 square meters. Find the width.
127 meters.
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.
There are 127 boxes and 381 items. How many items will be in each box?
Each box will have 3 items.
To find the items in each box, divide the total items by the boxes.
381/127 = 3
In a tournament, there are 381 players and 3 divisions. How many players are there in each division?
There are 127 players in each division.
Dividing the players by the total divisions, we will get the number of players in each division.
381/3 = 127
381 chairs need to be arranged in 3 rows. How many chairs will go in each row?
Each of the rows has 127 chairs.
Divide total chairs by rows.
381/3 = 127
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.
: She loves to read number jokes and games.