101 LearnersLast updated on May 26th, 2025
Factors of 544
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 544, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 544?
The numbers that divide 544 evenly are known as factors of 544.
A factor of 544 is a number that divides the number without remainder.
The factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544.
Negative factors of 544: -1, -2, -4, -8, -16, -17, -32, -34, -68, -136, -272, and -544.
Prime factors of 544: 2 and 17.
Prime factorization of 544: 2^5 × 17.
The sum of factors of 544: 1 + 2 + 4 + 8 + 16 + 17 + 32 + 34 + 68 + 136 + 272 + 544 = 1134
How to Find Factors of 544?
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 544. Identifying the numbers which are multiplied to get the number 544 is the multiplication method.
Step 1: Multiply 544 by 1, 544 × 1 = 544.
Step 2: Check for other numbers that give 544 after multiplying
2 × 272 = 544
4 × 136 = 544
8 × 68 = 544
16 × 34 = 544
17 × 32 = 544
Therefore, the positive factor pairs of 544 are: (1, 544), (2, 272), (4, 136), (8, 68), (16, 34), (17, 32).
All these factor pairs result in 544.
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 simple division method -
Step 1: Divide 544 by 1, 544 ÷ 1 = 544.
Step 2: Continue dividing 544 by the numbers until the remainder becomes 0.
544 ÷ 1 = 544
544 ÷ 2 = 272
544 ÷ 4 = 136
544 ÷ 8 = 68
544 ÷ 16 = 34
544 ÷ 17 = 32
Therefore, the factors of 544 are: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544.
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 544 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
544 ÷ 2 = 272
272 ÷ 2 = 136
136 ÷ 2 = 68
68 ÷ 2 = 34
34 ÷ 2 = 17
17 ÷ 17 = 1
The prime factors of 544 are 2 and 17. The prime factorization of 544 is: 2^5 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 544 is divided by 2 to get 272.
Step 2: Now divide 272 by 2 to get 136.
Step 3: Then divide 136 by 2 to get 68.
Step 4: Divide 68 by 2 to get 34.
Step 5: Divide 34 by 2 to get 17.
Here, 17 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 544 is: 2^5 × 17.
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 544: (1, 544), (2, 272), (4, 136), (8, 68), (16, 34), (17, 32).
Negative factor pairs of 544: (-1, -544), (-2, -272), (-4, -136), (-8, -68), (-16, -34), (-17, -32).
Common Mistakes and How to Avoid Them in Factors of 544
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 544, 1 and 544 are also factors.
Factors of 544 Examples
Problem 1
A garden has 544 flowers and needs to be arranged in rows of equal numbers. If each row can have 17 flowers, how many rows will there be?
There will be 32 rows.
Explanation
To arrange the flowers equally in rows, we need to divide the total flowers by the number of flowers per row.
544/17 = 32
Problem 2
A rectangular plot has a length of 34 meters and a total area of 544 square meters. Find the width.
16 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
544 = 34 × width
To find the value of width, we need to shift 34 to the left side.
544/34 = width
Width = 16.
Problem 3
A bakery has 8 trays and 544 cookies. How many cookies will be on each tray?
Each tray will have 68 cookies.
Explanation
To find the cookies on each tray, divide the total cookies by the number of trays.
544/8 = 68
Problem 4
A classroom has 544 students and 16 groups. How many students are there in each group?
There are 34 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
544/16 = 34
Problem 5
544 books need to be arranged in a library in 4 different sections. How many books will go in each section?
Each section will have 136 books.
Explanation
Divide the total number of books by the number of sections.
544/4 = 136
FAQs on Factors of 544
1.What are the factors of 544?
2.Mention the prime factors of 544.
3.Is 544 a multiple of 8?
4.Mention the factor pairs of 544.
5.What is the square of 544?
Important Glossaries for Factor of 544
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 544 are 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, and 544.
- Prime factors: The factors which are prime numbers. For example, 2 and 17 are prime factors of 544.
- 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 544 are (1, 544), (2, 272), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 544 is 2^5 × 17.
- Multiple: A number that can be divided by another number without a remainder. For example, 544 is a multiple of 8.
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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.
