102 LearnersLast updated on May 26th, 2025
Factors of 543
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 543, how they are used in real life, and tips to learn them quickly.
What are the Factors of 543?
The numbers that divide 543 evenly are known as factors of 543.
A factor of 543 is a number that divides the number without remainder.
The factors of 543 are 1, 3, 181, and 543.
Negative factors of 543: -1, -3, -181, and -543.
Prime factors of 543: 3 and 181.
Prime factorization of 543: 3 × 181.
The sum of factors of 543: 1 + 3 + 181 + 543 = 728
How to Find Factors of 543?
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 543. Identifying the numbers that are multiplied to get the number 543 is the multiplication method.
Step 1: Multiply 543 by 1, 543 × 1 = 543.
Step 2: Check for other numbers that give 543 after multiplying 3 × 181 = 543
Therefore, the positive factor pairs of 543 are: (1, 543) and (3, 181).
All these factor pairs result in 543.
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 543 by 1, 543 ÷ 1 = 543.
Step 2: Continue dividing 543 by the numbers until the remainder becomes 0.
543 ÷ 1 = 543
543 ÷ 3 = 181
Therefore, the factors of 543 are: 1, 3, 181, 543.
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 543 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
543 ÷ 3 = 181
181 ÷ 181 = 1
The prime factors of 543 are 3 and 181.
The prime factorization of 543 is: 3 × 181.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 543 is divided by 3 to get 181.
Step 2: Now divide 181 by 181 to get 1.
So, the prime factorization of 543 is: 3 × 181.
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 543: (1, 543) and (3, 181).
Negative factor pairs of 543: (-1, -543) and (-3, -181).
Common Mistakes and How to Avoid Them in Factors of 543
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 whole number. Always remember to include 1 and the number itself.
For example, in factors of 543, 1 and 543 are also factors.
Factors of 543 Examples
Problem 1
There are 3 friends and 543 apples. How will they divide it equally?
They will get 181 apples each.
Explanation
To divide the apples equally, we need to divide the total apples with the number of friends.
543/3 = 181
Problem 2
A garden is rectangular, the length of the garden is 3 meters and the total area is 543 square meters. Find the width?
181 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
543 = 3 × width
To find the value of width, we need to shift 3 to the left side.
543/3 = width
Width = 181.
Problem 3
There are 9 baskets and 543 oranges. How many oranges will be in each basket?
Each basket will have 60 oranges, with 3 oranges remaining.
Explanation
To find the oranges in each basket, divide the total oranges with the number of baskets.
543/9 = 60 R3
Problem 4
In a class, there are 543 students and 3 projects. How many students are there in each project?
There are 181 students in each project.
Explanation
Dividing the students with the total projects, we will get the number of students in each project.
543/3 = 181
Problem 5
543 books need to be arranged in 9 shelves. How many books will go on each shelf?
Each of the shelves will have 60 books, with 3 books remaining.
Explanation
Divide total books with shelves.
543/9 = 60 R3
FAQs on Factors of 543
1.What are the factors of 543?
2.Mention the prime factors of 543.
3.Is 543 a multiple of 3?
4.Mention the factor pairs of 543?
5.What is the square of 543?
Important Glossaries for Factor of 543
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 543 are 1, 3, 181, and 543.
- Prime factors: The factors which are prime numbers. For example, 3 and 181 are prime factors of 543.
- 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 543 are (1, 543) and (3, 181).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 543 is 3 × 181.
- Multiple: A number that can be divided by another number without a remainder. For instance, 543 is a multiple of 3.
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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.
