100 LearnersLast updated on May 26th, 2025
Factors of 1377
Factors are the numbers that divide any given number evenly without 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 1377, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1377?
The numbers that divide 1377 evenly are known as factors of 1377.
A factor of 1377 is a number that divides the number without remainder.
The factors of 1377 are 1, 3, 7, 21, 47, 141, 329, and 1377.
Negative factors of 1377: -1, -3, -7, -21, -47, -141, -329, and -1377.
Prime factors of 1377: 3, 7, and 47.
Prime factorization of 1377: 3 × 7 × 47.
The sum of factors of 1377: 1 + 3 + 7 + 21 + 47 + 141 + 329 + 1377 = 1926
How to Find Factors of 1377?
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 1377. Identifying the numbers which are multiplied to get the number 1377 is the multiplication method.
Step 1: Multiply 1377 by 1, 1377 × 1 = 1377.
Step 2: Check for other numbers that give 1377 after multiplying
3 × 459 = 1377
7 × 197 = 1377
21 × 65 = 1377
47 × 29 = 1377
Therefore, the positive factor pairs of 1377 are: (1, 1377), (3, 459), (7, 197), (21, 65), (47, 29).
All these factor pairs result in 1377.
For every positive factor, there is a negative factor.
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 the simple division method
Step 1: Divide 1377 by 1, 1377 ÷ 1 = 1377.
Step 2: Continue dividing 1377 by the numbers until the remainder becomes 0.
1377 ÷ 1 = 1377
1377 ÷ 3 = 459
1377 ÷ 7 = 197
1377 ÷ 21 = 65
1377 ÷ 47 = 29
Therefore, the factors of 1377 are: 1, 3, 7, 21, 47, 141, 329, 1377.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. We can find the prime factors using the following methods:
- Using prime factorization
- Using factor tree
Using Prime Factorization: In this process, prime factors of 1377 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1377 ÷ 3 = 459
459 ÷ 3 = 153
153 ÷ 3 = 51
51 ÷ 3 = 17
17 ÷ 17 = 1
The prime factors of 1377 are 3, 7, and 47.
The prime factorization of 1377 is: 3 × 7 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1377 is divided by 3 to get 459.
Step 2: Now divide 459 by 3 to get 153.
Step 3: Then divide 153 by 3 to get 51.
Step 4: Divide 51 by 3 to get 17. Here, 17 is a prime number that cannot be divided anymore.
So, the prime factorization of 1377 is: 3 × 7 × 47.
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 1377: (1, 1377), (3, 459), (7, 197), (21, 65), and (47, 29).
Negative factor pairs of 1377: (-1, -1377), (-3, -459), (-7, -197), (-21, -65), and (-47, -29).
Common Mistakes and How to Avoid Them in Factors of 1377
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1377, 1 and 1377 is also a factor.
Factors of 1377 Examples
Problem 1
There are 7 teams and 1377 people. How will they divide them equally?
They will get 197 people each.
Explanation
To divide the people equally, we need to divide the total people with the number of teams.
1377/7 = 197
Problem 2
A rectangular garden has a length of 47 meters and a total area of 1377 square meters. Find the width?
29 meters.
Explanation
To find the width of the garden, we use the formula, Area = length × width 1377 = 47 × width
To find the value of width, we need to shift 47 to the left side.
1377/47 = width
Width = 29.
Problem 3
A company has 21 departments and 1377 employees. How many employees will be in each department?
Each department will have 65 employees.
Explanation
To find the employees in each department, divide the total employees with the departments.
1377/21 = 65
Problem 4
In a library, there are 1377 books, and 3 sections. How many books are there in each section?
There are 459 books in each section.
Explanation
Dividing the books with the total sections, we will get the number of books in each section.
1377/3 = 459
Problem 5
1377 apples need to be packed in 47 boxes. How many apples will go in each box?
Each of the boxes has 29 apples.
Explanation
Divide total apples with boxes.
1377/47 = 29
FAQs on Factors of 1377
1.What are the factors of 1377?
2.Mention the prime factors of 1377.
3.Is 1377 a multiple of 21?
4.Mention the factor pairs of 1377?
5.What is the square of 1377?
6.How can children in United Arab Emirates use numbers in everyday life to understand Factors of 1377?
7.What are some fun ways kids in United Arab Emirates can practice Factors of 1377 with numbers?
8.What role do numbers and Factors of 1377 play in helping children in United Arab Emirates develop problem-solving skills?
9.How can families in United Arab Emirates create number-rich environments to improve Factors of 1377 skills?
Important Glossaries for Factors of 1377
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1377 are 1, 3, 7, 21, 47, 141, 329, and 1377.
- Prime factors: The factors which are prime numbers. For example, 3, 7, and 47 are prime factors of 1377.
- 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 1377 are (1, 1377), (3, 459), etc.
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 1377 is 3 × 7 × 47.
- Multiplication method: A technique used to find factor pairs by multiplying two numbers to get the original number. For example, 3 × 459 = 1377 is a way to find a factor pair of 1377.
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About BrightChamps in United Arab Emirates
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.
