100 LearnersLast updated on May 26th, 2025
Factors of 1437
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 1437, how they are used in real life, and tips to learn them quickly.
What are the Factors of 1437?
The numbers that divide 1437 evenly are known as factors of 1437.
A factor of 1437 is a number that divides the number without remainder.
The factors of 1437 are 1, 3, 479, and 1437.
Negative factors of 1437: -1, -3, -479, and -1437.
Prime factors of 1437: 3 and 479.
Prime factorization of 1437: 3 × 479.
The sum of factors of 1437: 1 + 3 + 479 + 1437 = 1920
How to Find Factors of 1437?
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 1437. Identifying the numbers which are multiplied to get the number 1437 is the multiplication method.
Step 1: Multiply 1437 by 1, 1437 × 1 = 1437.
Step 2: Check for other numbers that give 1437 after multiplying
3 × 479 = 1437
Therefore, the positive factor pairs of 1437 are: (1, 1437), (3, 479).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers with 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 1437 by 1, 1437 ÷ 1 = 1437.
Step 2: Continue dividing 1437 by the numbers until the remainder becomes 0.
1437 ÷ 1 = 1437
1437 ÷ 3 = 479
Therefore, the factors of 1437 are: 1, 3, 479, and 1437.
Prime Factors and Prime Factorization
The factors can be found by dividing them with prime numbers. 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 1437 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
1437 ÷ 3 = 479
479 is a prime number.
The prime factors of 1437 are 3 and 479.
The prime factorization of 1437 is: 3 × 479.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1437 is divided by 3 to get 479.
Here, 479 is a prime number and cannot be divided further.
So, the prime factorization of 1437 is: 3 × 479.
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 1437: (1, 1437), (3, 479).
Negative factor pairs of 1437: (-1, -1437), (-3, -479).
Common Mistakes and How to Avoid Them in Factors of 1437
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
People 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 1437, 1 and 1437 are also factors.
Factors of 1437 Examples
Problem 1
There are 3 groups of students and a total of 1437 candies. How will they divide it equally?
They will get 479 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of groups.
1437 ÷ 3 = 479
Problem 2
A rectangular garden has a width of 3 meters and a total area of 1437 square meters. Find the length?
479 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
1437 = length × 3
To find the value of length, we need to shift 3 to the left side.
1437 ÷ 3 = length
Length = 479.
Problem 3
There are 479 books and 1437 pages. How many pages are in each book?
Each book will have 3 pages.
Explanation
To find the pages in each book, divide the total pages by the number of books.
1437 ÷ 479 = 3
Problem 4
A company has 1437 employees and 3 departments. How many employees are there in each department?
There are 479 employees in each department.
Explanation
Dividing the employees by the total departments, we will get the number of employees in each department.
1437 ÷ 3 = 479
Problem 5
1437 chairs need to be arranged in 3 rows. How many chairs will go in each row?
Each of the rows has 479 chairs.
Explanation
Divide total chairs by rows.
1437 ÷ 3 = 479
FAQs on Factors of 1437
1.What are the factors of 1437?
2.Mention the prime factors of 1437.
3.Is 1437 a multiple of 3?
4.Mention the factor pairs of 1437?
5.What is the square of 1437?
6.How can children in Canada use numbers in everyday life to understand Factors of 1437?
7.What are some fun ways kids in Canada can practice Factors of 1437 with numbers?
8.What role do numbers and Factors of 1437 play in helping children in Canada develop problem-solving skills?
9.How can families in Canada create number-rich environments to improve Factors of 1437 skills?
Important Glossaries for Factor of 1437
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1437 are 1, 3, 479, and 1437.
- Prime factors: The factors which are prime numbers. For example, 3 and 479 are prime factors of 1437.
- 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 1437 are (1, 1437) and (3, 479).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 1437 is 3 × 479.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the original number. For example, using the multiplication method to find factor pairs of 1437.
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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.
