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 341, how they are used in real life, and tips to learn them quickly.
The numbers that divide 341 evenly are known as factors of 341.
A factor of 341 is a number that divides the number without remainder.
The factors of 341 are 1, 11, 31, and 341.
Negative factors of 341: -1, -11, -31, and -341.
Prime factors of 341: 11 and 31.
Prime factorization of 341: 11 × 31.
The sum of factors of 341: 1 + 11 + 31 + 341 = 384
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 341. Identifying the numbers which are multiplied to get the number 341 is the multiplication method.
Step 1: Multiply 341 by 1, 341 × 1 = 341.
Step 2: Check for other numbers that give 341 after multiplying. 11 × 31 = 341
Therefore, the positive factor pairs of 341 are: (1, 341) and (11, 31).
All these factor pairs result in 341.
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 341 by 1, 341 ÷ 1 = 341.
Step 2: Continue dividing 341 by the numbers until the remainder becomes 0.
341 ÷ 1 = 341
341 ÷ 11 = 31
341 ÷ 31 = 11
Therefore, the factors of 341 are: 1, 11, 31, 341.
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 341 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
341 ÷ 11 = 31
31 ÷ 31 = 1
The prime factors of 341 are 11 and 31.
The prime factorization of 341 is: 11 × 31.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 341 is divided by 11 to get 31.
Step 2: Now divide 31 by 31 to get 1. Here, 31 is the smallest prime number, that cannot be divided anymore. So, the prime factorization of 341 is: 11 × 31.
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 341: (1, 341) and (11, 31).
Negative factor pairs of 341: (-1, -341) and (-11, -31).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A charity event has 31 tables and 341 chairs. How many chairs will each table get if they are distributed equally?
Each table will get 11 chairs.
To divide the chairs equally, we need to divide the total chairs by the number of tables.
341/31 = 11
A farmer has a field with a length of 31 meters and a total area of 341 square meters. Find the width.
11 meters.
To find the width of the field, we use the formula
Area = length × width
341 = 31 × width
To find the value of width, we need to shift 31 to the left side.
341/31 = width Width = 11.
There are 11 bags and 341 marbles. How many marbles will be in each bag?
Each bag will have 31 marbles.
To find the marbles in each bag, divide the total marbles by the bags.
341/11 = 31
In a class, there are 341 students, and they are divided into 31 groups. How many students are there in each group?
There are 11 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
341/31 = 11
A library has 341 books arranged on 11 shelves. How many books will be on each shelf?
Each of the shelves will have 31 books.
Divide total books by shelves.
341/11 = 31
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.