100 LearnersLast updated on May 26th, 2025
Factors of 1453
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 1453, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 1453?
The numbers that divide 1453 evenly are known as factors of 1453.
A factor of 1453 is a number that divides the number without remainder.
The factors of 1453 are 1, 11, 13, 121, 143, and 1453.
Negative factors of 1453: -1, -11, -13, -121, -143, and -1453.
Prime factors of 1453: 11 and 13.
Prime factorization of 1453: 11 × 13 × 121.
The sum of factors of 1453: 1 + 11 + 13 + 121 + 143 + 1453 = 1742
How to Find Factors of 1453?
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 1453. Identifying the numbers which are multiplied to get the number 1453 is the multiplication method.
Step 1: Multiply 1453 by 1, 1453 × 1 = 1453.
Step 2: Check for other numbers that give 1453 after multiplying
11 × 131 = 1453
13 × 111.7692 = 1453 (not a whole number)
Therefore, the positive factor pairs of 1453 are: (1, 1453), (11, 131).
All these factor pairs result in 1453.
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 1453 by 1, 1453 ÷ 1 = 1453.
Step 2: Continue dividing 1453 by the numbers until the remainder becomes 0.
1453 ÷ 1 = 1453
1453 ÷ 11 = 131
1453 ÷ 13 = 111
.7692 (not a whole number)
Therefore, the factors of 1453 are: 1, 11, 13, 121, 143, 1453.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 1453 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1453 ÷ 11 = 131
131 ÷ 11 = 11.909 (not a whole number, stop here)
The prime factors of 1453 are 11 and 13.
The prime factorization of 1453 is: 11 × 13 × 121.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1453 is divided by 11 to get 131.
Step 2: Now divide 131 by 11, which is not wholly divisible.
So, the prime factorization of 1453 is: 11 × 13 × 121.
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 1453: (1, 1453), (11, 131).
Negative factor pairs of 1453: (-1, -1453), (-11, -131).
Common Mistakes and How to Avoid Them in Factors of 1453
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 word. Always remember to include 1 and the number itself.
For example, in factors of 1453, 1 and 1453 are also factors.
Factors of 1453 Examples
Problem 1
There are 11 friends and 1453 candies. How will they divide it equally?
They will get 131 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
1453/11 = 131
Problem 2
A rectangular garden has a length of 131 meters, and the total area is 1453 square meters. Find the width.
11 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
1453 = 131 × width
To find the value of width, we need to shift 131 to the left side.
1453/131 = width
Width = 11.
Problem 3
There are 13 shelves and 1453 books. How many books will be on each shelf?
Each shelf will have 111.769 books, which means they cannot be equally divided.
Explanation
To find the books on each shelf, divide the total books with the shelves.
1453/13 = 111.769 (not a whole number).
Problem 4
In a classroom, there are 1453 students, and they need to be divided into 11 groups. How many students are there in each group?
There are 131 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
1453/11 = 131
Problem 5
1453 apples need to be divided into 13 baskets. How many apples will go in each basket?
Each of the baskets will have 111.769 apples, which means they cannot be equally divided.
Explanation
Divide total apples with baskets.
1453/13 = 111.769 (not a whole number).
FAQs on Factors of 1453
1.What are the factors of 1453?
2.Mention the prime factors of 1453.
3.Is 1453 a multiple of 11?
4.Mention the factor pairs of 1453?
5.What is the square of 1453?
6.How can children in Vietnam use numbers in everyday life to understand Factors of 1453?
7.What are some fun ways kids in Vietnam can practice Factors of 1453 with numbers?
8.What role do numbers and Factors of 1453 play in helping children in Vietnam develop problem-solving skills?
9.How can families in Vietnam create number-rich environments to improve Factors of 1453 skills?
Important Glossaries for Factor of 1453
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 1453 are 1, 11, 13, 121, 143, and 1453.
- Prime factors: The factors which are prime numbers. For example, 11 and 13 are prime factors of 1453.
- 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 1453 are (1, 1453), (11, 131).
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number.
- Division method: A method to find factors by dividing the given number by possible divisors until a remainder of zero is found.
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About BrightChamps in Vietnam
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.
