Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 12 friends and 348 candies. How will they divide it equally?
They will get 29 candies each.
To divide the candies equally, we need to divide the total candies by the number of friends.
348/12 = 29
A rectangle has a length of 6 meters and the total area is 348 square meters. Find the width.
58 meters.
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.
There are 58 bags and 348 marbles. How many marbles will be in each bag?
Each bag will have 6 marbles.
To find the marbles in each bag, divide the total marbles by the bags.
348/58 = 6
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.
Dividing the students with the total groups, we will get the number of students in each group.
348/29 = 12
348 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 116 books.
Divide total books by shelves.
348/3 = 116
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.
: She loves to read number jokes and games.