100 LearnersLast updated on May 26th, 2025
Factors of 537
Factors are the numbers that divide any given number evenly without a 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 537, how they are used in real life, and tips to learn them quickly.
What are the Factors of 537?
The numbers that divide 537 evenly are known as factors of 537.
A factor of 537 is a number that divides the number without remainder.
The factors of 537 are 1, 3, 179, and 537.
Negative factors of 537: -1, -3, -179, and -537.
Prime factors of 537: 3 and 179.
Prime factorization of 537: 3 × 179.
The sum of factors of 537: 1 + 3 + 179 + 537 = 720
How to Find Factors of 537?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using 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 537. Identifying the numbers which are multiplied to get the number 537 is the multiplication method.
Step 1: Multiply 537 by 1, 537 × 1 = 537.
Step 2: Check for other numbers that give 537 after multiplying 3 × 179 = 537
Therefore, the positive factor pairs of 537 are: (1, 537) and (3, 179).
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 a simple division method -
Step 1: Divide 537 by 1, 537 ÷ 1 = 537.
Step 2: Continue dividing 537 by the numbers until the remainder becomes 0.
537 ÷ 1 = 537
537 ÷ 3 = 179
Therefore, the factors of 537 are: 1, 3, 179, 537.
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 factor tree
Using Prime Factorization: In this process, prime factors of 537 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
537 ÷ 3 = 179
179 is a prime number.
The prime factors of 537 are 3 and 179.
The prime factorization of 537 is: 3 × 179.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 537 is divided by 3 to get 179.
Since 179 is a prime number, it cannot be divided anymore.
So, the prime factorization of 537 is: 3 × 179.
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 537: (1, 537), (3, 179).
Negative factor pairs of 537: (-1, -537), (-3, -179).
Common Mistakes and How to Avoid Them in Factors of 537
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 537, 1 and 537 are also factors.
Factors of 537 Examples
Problem 1
There are 3 groups and 537 candies. How will they divide it equally?
They will get 179 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of groups.
537/3 = 179
Problem 2
A garden is rectangular, the length of the garden is 3 meters, and the total area is 537 square meters. Find the width.
179 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
537 = 3 × width
To find the value of width, we need to shift 3 to the left side.
537/3 = width
Width = 179.
Problem 3
There are 179 bags and 537 apples. How many apples will be in each bag?
Each bag will have 3 apples.
Explanation
To find the apples in each bag, divide the total apples with the bags.
537/179 = 3
Problem 4
In a classroom, there are 537 students, and 3 sections. How many students are there in each section?
There are 179 students in each section.
Explanation
Dividing the students with the total sections, we will get the number of students in each section.
537/3 = 179
Problem 5
537 books need to be arranged on 3 shelves. How many books will go on each shelf?
Each of the shelves has 179 books.
Explanation
Divide total books with shelves.
537/3 = 179
FAQs on Factors of 537
1.What are the factors of 537?
2.Mention the prime factors of 537.
3.Is 537 a multiple of 3?
4.Mention the factor pairs of 537?
5.What is the square of 537?
6.How can children in Qatar use numbers in everyday life to understand Factors of 537?
7.What are some fun ways kids in Qatar can practice Factors of 537 with numbers?
8.What role do numbers and Factors of 537 play in helping children in Qatar develop problem-solving skills?
9.How can families in Qatar create number-rich environments to improve Factors of 537 skills?
Important Glossaries for Factor of 537
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 537 are 1, 3, 179, and 537.
- Prime factors: The factors which are prime numbers. For example, 3 and 179 are prime factors of 537.
- 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 537 are (1, 537) and (3, 179).
- Prime factorization: The process of breaking down a number into its prime factors. For example, the prime factorization of 537 is 3 × 179.
- Negative factors: Factors that are negative. For example, the negative factors of 537 are -1, -3, -179, and -537.
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About BrightChamps in Qatar
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.
