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 1353, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1353 evenly are known as factors of 1353.
A factor of 1353 is a number that divides the number without remainder.
The factors of 1353 are 1, 3, 11, 33, 41, 123, 451, and 1353.
Negative factors of 1353: -1, -3, -11, -33, -41, -123, -451, and -1353.
Prime factors of 1353: 3, 11, 41.
Prime factorization of 1353: 3 × 11 × 41.
The sum of factors of 1353: 1 + 3 + 11 + 33 + 41 + 123 + 451 + 1353 = 2016
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 1353. Identifying the numbers which are multiplied to get the number 1353 is the multiplication method.
Step 1: Multiply 1353 by 1, 1353 × 1 = 1353.
Step 2: Check for other numbers that give 1353 after multiplying
3 × 451 = 1353
11 × 123 = 1353
33 × 41 = 1353
Therefore, the positive factor pairs of 1353 are: (1, 1353), (3, 451), (11, 123), (33, 41).
All these factor pairs result in 1353.
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 1353 by 1, 1353 ÷ 1 = 1353.
Step 2: Continue dividing 1353 by the numbers until the remainder becomes 0.
1353 ÷ 1 = 1353
1353 ÷ 3 = 451
1353 ÷ 11 = 123
1353 ÷ 33 = 41
Therefore, the factors of 1353 are: 1, 3, 11, 33, 41, 123, 451, 1353.
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 1353 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1353 ÷ 3 = 451
451 ÷ 11 = 41
41 ÷ 41 = 1
The prime factors of 1353 are 3, 11, and 41.
The prime factorization of 1353 is: 3 × 11 × 41.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 1353 is divided by 3 to get 451.
Step 2: Now divide 451 by 11 to get 41. Step 3: Here, 41 is a prime number, so it cannot be divided further. So, the prime factorization of 1353 is: 3 × 11 × 41.
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 1353: (1, 1353), (3, 451), (11, 123), and (33, 41).
Negative factor pairs of 1353: (-1, -1353), (-3, -451), (-11, -123), and (-33, -41).
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 41 employees and 1353 tasks. How will they divide it equally?
They will handle 33 tasks each.
To divide the tasks equally, we need to divide the total tasks with the number of employees.
1353/41 = 33
A rectangular garden has a length of 11 meters and a total area of 1353 square meters. Find the width?
123 meters.
To find the width of the garden, we use the formula,
Area = length × width
1353 = 11 × width
To find the value of width, we need to shift 11 to the left side.
1353/11 = width
Width = 123.
There are 3 buses and 1353 passengers. How many passengers will be in each bus?
Each bus will have 451 passengers.
To find the passengers in each bus, divide the total passengers by the buses.
1353/3 = 451
In a conference, there are 1353 participants and 11 groups. How many participants are there in each group?
There are 123 participants in each group.
Dividing the participants with the total groups, we will get the number of participants in each group.
1353/11 = 123
1353 books need to be organized into 33 shelves. How many books will go on each shelf?
Each of the shelves has 41 books.
Divide total books with shelves.
1353/33 = 41
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.