Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without a remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 1371, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1371 evenly are known as factors of 1371.
A factor of 1371 is a number that divides the number without a remainder.
The factors of 1371 are 1, 3, 457, and 1371.
Negative factors of 1371: -1, -3, -457, and -1371.
Prime factors of 1371: 3 and 457.
Prime factorization of 1371: 3 × 457.
The sum of factors of 1371: 1 + 3 + 457 + 1371 = 1832
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 1371. Identifying the numbers which are multiplied to get the number 1371 is the multiplication method.
Step 1: Multiply 1371 by 1, 1371 × 1 = 1371.
Step 2: Check for other numbers that give 1371 after multiplying
3 × 457 = 1371
Therefore, the positive factor pairs of 1371 are: (1, 1371) and (3, 457).
For every positive factor, there is a negative factor.
Dividing the given numbers by 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 1371 by 1, 1371 ÷ 1 = 1371.
Step 2: Continue dividing 1371 by the numbers until the remainder becomes 0.
1371 ÷ 1 = 1371
1371 ÷ 3 = 457
Therefore, the factors of 1371 are: 1, 3, 457, 1371.
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 1371 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1371 ÷ 3 = 457
457 ÷ 457 = 1
The prime factors of 1371 are 3 and 457.
The prime factorization of 1371 is: 3 × 457.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1371 is divided by 3 to get 457.
Step 2: Now divide 457 by 457 to get 1. So, the prime factorization of 1371 is: 3 × 457.
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 1371: (1, 1371) and (3, 457).
Negative factor pairs of 1371: (-1, -1371) and (-3, -457).
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 1371 points. How will they divide it equally?
They will get 457 points each.
To divide the points equally, we need to divide the total points with the number of teams.
1371/3 = 457
A rectangular garden has a length of 3 meters and a total area of 1371 square meters. Find the width.
457 meters.
To find the width of the garden, we use the formula,
Area = length × width
1371 = 3 × width
To find the value of width, we need to shift 3 to the left side.
1371/3 = width
Width = 457.
There are 1371 apples and 3 baskets. How many apples will be in each basket?
Each basket will have 457 apples.
To find the apples in each basket, divide the total apples with the baskets.
1371/3 = 457
In a class, there are 1371 students and each student needs to form 3 groups. How many students are there in each group?
There are 457 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1371/3 = 457
1371 pages need to be printed in 3 printers. How many pages will each printer print?
Each of the printers will print 457 pages.
Divide total pages with printers.
1371/3 = 457
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.