125 LearnersLast updated on May 26th, 2025
Factors of 348
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 348, how they are used in real life, and tips to learn them quickly.
What are the Factors of 348?
The numbers that divide 348 evenly are known as factors of 348.
A factor of 348 is a number that divides the number without remainder.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348.
Negative factors of 348: -1, -2, -3, -4, -6, -12, -29, -58, -87, -116, -174, and -348.
Prime factors of 348: 2, 3, and 29.
Prime factorization of 348: 22 × 3 × 29.
The sum of factors of 348: 1 + 2 + 3 + 4 + 6 + 12 + 29 + 58 + 87 + 116 + 174 + 348 = 840
How to Find Factors of 348?
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 348. Identifying the numbers which are multiplied to get the number 348 is the multiplication method.
Step 1: Multiply 348 by 1, 348 × 1 = 348.
Step 2: Check for other numbers that give 348 after multiplying
2 × 174 = 348
3 × 116 = 348
4 × 87 = 348
6 × 58 = 348
12 × 29 = 348
Therefore, the positive factor pairs of 348 are: (1, 348), (2, 174), (3, 116), (4, 87), (6, 58), (12, 29).
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 348 by 1, 348 ÷ 1 = 348.
Step 2: Continue dividing 348 by the numbers until the remainder becomes 0.
348 ÷ 1 = 348
348 ÷ 2 = 174
348 ÷ 3 = 116
348 ÷ 4 = 87
348 ÷ 6 = 58
348 ÷ 12 = 29
Therefore, the factors of 348 are: 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348.
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 348 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
348 ÷ 2 = 174
174 ÷ 2 = 87
87 ÷ 3 = 29
29 ÷ 29 = 1
The prime factors of 348 are 2, 3, and 29.
The prime factorization of 348 is: 2^2 × 3 × 29.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 348 is divided by 2 to get 174.
Step 2: Now divide 174 by 2 to get 87.
Step 3: Then divide 87 by 3 to get 29. Here, 29 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 348 is: 22 × 3 × 29.
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 348: (1, 348), (2, 174), (3, 116), (4, 87), (6, 58), (12, 29).
Negative factor pairs of 348: (-1, -348), (-2, -174), (-3, -116), (-4, -87), (-6, -58), (-12, -29).
Common Mistakes and How to Avoid Them in Factors of 348
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 348, 1 and 348 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 348 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 4.5 as a factor because 348/4.5 = 77.333, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 348 are prime numbers.
For example, 2, 3, and 29 are the prime factors of 348, but it has other factors like 4, 58.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 348 as 2^2 × 3 × 29 and missing all the key factors.
Factors of 348 Examples
Problem 1
There are 12 friends and 348 candies. How will they divide it equally?
They will get 29 candies each.
Explanation
To divide the candies equally, we need to divide the total candies by the number of friends.
348/12 = 29
Problem 2
A rectangle has a length of 6 meters and the total area is 348 square meters. Find the width.
58 meters.
Explanation
To find the width of the rectangle, we use the formula
Area = length × width
348 = 6 × width
To find the value of width, we need to shift 6 to the left side.
348/6 = width Width = 58.
Problem 3
There are 58 bags and 348 marbles. How many marbles will be in each bag?
Each bag will have 6 marbles.
Explanation
To find the marbles in each bag, divide the total marbles by the bags.
348/58 = 6
Problem 4
In a class, there are 348 students, and 29 groups. How many students are there in each group?
There are 12 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
348/29 = 12
Problem 5
348 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 116 books.
Explanation
Divide total books by shelves.
348/3 = 116
FAQs on Factors of 348
1.What are the factors of 348?
2.Mention the prime factors of 348.
3.Is 348 a multiple of 6?
4.Mention the factor pairs of 348?
5.What is the square of 348?
Important Glossaries for Factors of 348
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, and 348.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 29 are prime factors of 348.
- 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 348 are (1, 348), (2, 174), etc.
- Multiples: Numbers that can be divided by another number without leaving a remainder. For example, 348 is a multiple of 2.
- Division method: A method to find factors by dividing the number with integers and finding those that result in a whole number.
Explore More numbers
![Important Math Links Icon]()
Previous to Factors of 348
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.
