118 LearnersLast updated on May 26th, 2025
Factors of 1371
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.
What are the Factors of 1371?
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
How to Find Factors of 1371?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 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.
Finding Factors Using Division Method
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.
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 a factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1371
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 1371, 1 and 1371 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 1371 consist of -1, -3, -457, etc.
Mistake 3
Including Fractions
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1371/1.5 = 914, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 1371 are prime numbers.
For example, 3 and 457 are the prime factors of 1371, but it has other factors like 1 and 1371.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1371 as 3 × 457 and missing all the key factors.
Factors of 1371 Examples
Problem 1
There are 3 teams and 1371 points. How will they divide it equally?
They will get 457 points each.
Explanation
To divide the points equally, we need to divide the total points with the number of teams.
1371/3 = 457
Problem 2
A rectangular garden has a length of 3 meters and a total area of 1371 square meters. Find the width.
457 meters.
Explanation
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.
Problem 3
There are 1371 apples and 3 baskets. How many apples will be in each basket?
Each basket will have 457 apples.
Explanation
To find the apples in each basket, divide the total apples with the baskets.
1371/3 = 457
Problem 4
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.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1371/3 = 457
Problem 5
1371 pages need to be printed in 3 printers. How many pages will each printer print?
Each of the printers will print 457 pages.
Explanation
Divide total pages with printers.
1371/3 = 457
FAQs on Factors of 1371
1.What are the factors of 1371?
2.Mention the prime factors of 1371.
3.Is 1371 a multiple of 3?
4.Mention the factor pairs of 1371?
5.What is the square of 1371?
Important Glossaries for Factors of 1371
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1371 are 1, 3, 457, and 1371.
- Prime factors: The factors which are prime numbers. For example, 3 and 457 are prime factors of 1371.
- 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 1371 are (1, 1371) and (3, 457).
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, 1371 = 3 × 457.
- Negative factors: Factors that are the negative equivalents of positive factors. For example, the negative factors of 1371 are -1, -3, -457, and -1371.
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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.
