101 LearnersLast updated on May 26th, 2025
Factors of 549
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 549, how they are used in real life, and tips to learn them quickly.
What are the Factors of 549?
The numbers that divide 549 evenly are known as factors of 549.
A factor of 549 is a number that divides the number without remainder.
The factors of 549 are 1, 3, 9, 61, 183, and 549.
Negative factors of 549: -1, -3, -9, -61, -183, and -549.
Prime factors of 549: 3 and 61.
Prime factorization of 549: 3 × 3 × 61.
The sum of factors of 549: 1 + 3 + 9 + 61 + 183 + 549 = 806
How to Find Factors of 549?
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 549. Identifying the numbers which are multiplied to get the number 549 is the multiplication method.
Step 1: Multiply 549 by 1, 549 × 1 = 549.
Step 2: Check for other numbers that give 549 after multiplying
3 × 183 = 549
9 × 61 = 549
Therefore, the positive factor pairs of 549 are: (1, 549), (3, 183), (9, 61).
All these factor pairs result in 549.
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 549 by 1, 549 ÷ 1 = 549.
Step 2: Continue dividing 549 by the numbers until the remainder becomes 0.
549 ÷ 1 = 549
549 ÷ 3 = 183
549 ÷ 9 = 61
Therefore, the factors of 549 are: 1, 3, 9, 61, 183, and 549.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 549 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
549 ÷ 3 = 183
183 ÷ 3 = 61
61 ÷ 61 = 1
The prime factors of 549 are 3 and 61.
The prime factorization of 549 is: 3 × 3 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 549 is divided by 3 to get 183.
Step 2: Now divide 183 by 3 to get 61.
Step 3: 61 is a prime number, so we stop here.
So, the prime factorization of 549 is: 3 × 3 × 61.
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 549: (1, 549), (3, 183), and (9, 61).
Negative factor pairs of 549: (-1, -549), (-3, -183), and (-9, -61).
Common Mistakes and How to Avoid Them in Factors of 549
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 549, 1 and 549 are also factors.
Factors of 549 Examples
Problem 1
There are 9 teams and 549 points. How will they divide it equally?
Each team will get 61 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
549/9 = 61
Problem 2
A wall is rectangular, the height of the wall is 3 meters and the total area is 549 square meters. Find the width?
183 meters.
Explanation
To find the width of the wall, we use the formula,
Area = height × width
549 = 3 × width
To find the value of the width, we need to shift 3 to the left side.
549/3 = width
Width = 183.
Problem 3
There are 27 boxes and 549 candies. How many candies will be in each box?
Each box will have 20 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
549/27 = 20.33 (Since candies cannot be in fractions, this division does not result in a whole number of candies per box, meaning there will be some leftover candies.)
Problem 4
In a class, there are 549 students, and there are 61 groups. How many students are there in each group?
There are 9 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
549/61 = 9
Problem 5
549 pages need to be arranged in 3 binders. How many pages will go in each binder?
Each of the binders will have 183 pages.
Explanation
Divide total pages by binders.
549/3 = 183
FAQs on Factors of 549
1.What are the factors of 549?
2.Mention the prime factors of 549.
3.Is 549 a multiple of 9?
4.Mention the factor pairs of 549?
5.What is the square of 549?
Important Glossaries for Factor of 549
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 549 are 1, 3, 9, 61, 183, and 549.
- Prime factors: The factors which are prime numbers. For example, 3 and 61 are prime factors of 549.
- 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 549 are (1, 549), (3, 183), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 549 is 3 × 3 × 61.
- Multiples: Numbers that can be divided by a given number without leaving a remainder. For example, 549 is a multiple of 9.
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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.
