100 LearnersLast updated on May 26th, 2025
Factors of 548
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 548, how they are used in real life, and tips to learn them quickly.
What are the Factors of 548?
The numbers that divide 548 evenly are known as factors of 548.
A factor of 548 is a number that divides the number without remainder.
The factors of 548 are 1, 2, 4, 137, 274, and 548.
Negative factors of 548: -1, -2, -4, -137, -274, and -548.
Prime factors of 548: 2 and 137.
Prime factorization of 548: 2 × 2 × 137.
The sum of factors of 548: 1 + 2 + 4 + 137 + 274 + 548 = 966
How to Find Factors of 548?
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 548. Identifying the numbers which are multiplied to get the number 548 is the multiplication method.
Step 1: Multiply 548 by 1, 548 × 1 = 548.
Step 2: Check for other numbers that give 548 after multiplying
2 × 274 = 548
4 × 137 = 548
Therefore, the positive factor pairs of 548 are: (1, 548), (2, 274), (4, 137).
All these factor pairs result in 548.
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 the simple division method -
Step 1: Divide 548 by 1, 548 ÷ 1 = 548.
Step 2: Continue dividing 548 by the numbers until the remainder becomes 0.
548 ÷ 1 = 548
548 ÷ 2 = 274
548 ÷ 4 = 137
Therefore, the factors of 548 are: 1, 2, 4, 137, 274, 548.
Prime Factors and Prime Factorization
The factors can be found by dividing 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 548 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
548 ÷ 2 = 274
274 ÷ 2 = 137
137 is a prime number.
The prime factors of 548 are 2 and 137.
The prime factorization of 548 is: 2 × 2 × 137.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 548 is divided by 2 to get 274.
Step 2: Now divide 274 by 2 to get 137.
Step 3: 137 is a prime number and cannot be divided further.
So, the prime factorization of 548 is: 2 × 2 × 137.
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 548: (1, 548), (2, 274), (4, 137).
Negative factor pairs of 548: (-1, -548), (-2, -274), (-4, -137).
Common Mistakes and How to Avoid Them in Factors of 548
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 548, 1 and 548 are also factors.
Factors of 548 Examples
Problem 1
There are 548 apples, and they need to be packed into boxes that can hold 137 apples each. How many boxes are needed?
4 boxes are needed.
Explanation
To pack the apples equally, divide the total apples by the number of apples each box can hold.
548/137 = 4
Problem 2
A rectangular plot has a width of 4 meters and a total area of 548 square meters. Find the length.
137 meters.
Explanation
To find the length of the plot, we use the formula,
Area = length × width
548 = length × 4
To find the value of length, divide 548 by 4.
548/4 = length
Length = 137.
Problem 3
A company has 548 items to distribute evenly into 2 warehouses. How many items will each warehouse receive?
Each warehouse will receive 274 items.
Explanation
To find the items each warehouse will receive, divide the total items by the number of warehouses.
548/2 = 274
Problem 4
In a competition, there are 548 participants and 137 teams. How many participants are there in each team?
There are 4 participants in each team.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
548/137 = 4
Problem 5
548 books need to be arranged in 4 shelves. How many books will go on each shelf?
Each of the shelves has 137 books.
Explanation
Divide total books by shelves.
548/4 = 137
FAQs on Factors of 548
1.What are the factors of 548?
2.Mention the prime factors of 548.
3.Is 548 a multiple of 4?
4.Mention the factor pairs of 548?
5.What is the square of 548?
Important Glossaries for Factor of 548
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 548 are 1, 2, 4, 137, 274, and 548.
- Prime factors: The factors which are prime numbers. For example, 2 and 137 are prime factors of 548.
- 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 548 are (1, 548), (2, 274), (4, 137).
- Prime factorization: The expression of a number as a product of its prime factors. The prime factorization of 548 is 2 × 2 × 137.
- Multiplication method: A method of finding factors by identifying pairs of numbers that multiply to the given number.
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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.
