126 LearnersLast updated on May 26th, 2025
Factors of 1353
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.
What are the Factors of 1353?
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
How to Find Factors of 1353?
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 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.
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 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.
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 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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 1353
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 1353, 1 and 1353 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 1353 consist of -1, -3, -11, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 1353/1.5 = 902, 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 1353 are prime numbers.
For example, 3, 11, and 41 are the prime factors of 1353, but it has other factors like 33, 451.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 1353 as 3 × 11 × 41 and missing all the key factors.
Factors of 1353 Examples
Problem 1
There are 41 employees and 1353 tasks. How will they divide it equally?
They will handle 33 tasks each.
Explanation
To divide the tasks equally, we need to divide the total tasks with the number of employees.
1353/41 = 33
Problem 2
A rectangular garden has a length of 11 meters and a total area of 1353 square meters. Find the width?
123 meters.
Explanation
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.
Problem 3
There are 3 buses and 1353 passengers. How many passengers will be in each bus?
Each bus will have 451 passengers.
Explanation
To find the passengers in each bus, divide the total passengers by the buses.
1353/3 = 451
Problem 4
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.
Explanation
Dividing the participants with the total groups, we will get the number of participants in each group.
1353/11 = 123
Problem 5
1353 books need to be organized into 33 shelves. How many books will go on each shelf?
Each of the shelves has 41 books.
Explanation
Divide total books with shelves.
1353/33 = 41
FAQs on Factors of 1353
1.What are the factors of 1353?
2.Mention the prime factors of 1353.
3.Is 1353 a multiple of 3?
4.Mention the factor pairs of 1353?
5.What is the square of 1353?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 1353?
7.What are some fun ways kids in Bahrain can practice Factors of 1353 with numbers?
8.What role do numbers and Factors of 1353 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 1353 skills?
Important Glossaries for Factor of 1353
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1353 are 1, 3, 11, 33, 41, 123, 451, and 1353.
- Prime factors: The factors which are prime numbers. For example, 3, 11, and 41 are prime factors of 1353.
- 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 1353 are (1, 1353), (3, 451), etc.
- Prime factorization: The expression of a number as a product of its prime factors. For example, the prime factorization of 1353 is 3 × 11 × 41.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the target number, such as finding factor pairs of 1353 like (1, 1353).
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About BrightChamps in Bahrain
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.
