123 LearnersLast updated on May 26th, 2025
Factors of 453
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 453, how they are used in real life, and tips to learn them quickly.
What are the Factors of 453?
The numbers that divide 453 evenly are known as factors of 453.
A factor of 453 is a number that divides the number without remainder.
The factors of 453 are 1, 3, 151, and 453.
Negative factors of 453: -1, -3, -151, and -453.
Prime factors of 453: 3 and 151.
Prime factorization of 453: 3 × 151.
The sum of factors of 453: 1 + 3 + 151 + 453 = 608
How to Find Factors of 453?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 453. Identifying the numbers which are multiplied to get the number 453 is the multiplication method.
Step 1: Multiply 453 by 1, 453 × 1 = 453.
Step 2: Check for other numbers that give 453 after multiplying 3 × 151 = 453
Therefore, the positive factor pairs of 453 are: (1, 453) and (3, 151). All these factor pairs result in 453.
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 a whole number as factors. Factors can be calculated by following a simple division method
Step 1: Divide 453 by 1, 453 ÷ 1 = 453.
Step 2: Continue dividing 453 by the numbers until the remainder becomes 0.
453 ÷ 1 = 453
453 ÷ 3 = 151
Therefore, the factors of 453 are: 1, 3, 151, and 453.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 453 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
453 ÷ 3 = 151
151 is a prime number and cannot be further divided by any other number except 1 and 151 itself.
The prime factors of 453 are 3 and 151.
The prime factorization of 453 is: 3 × 151.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 453 is divided by 3 to get 151.
Step 2: 151 is a prime number and cannot be divided further.
So, the prime factorization of 453 is: 3 × 151.
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 453: (1, 453) and (3, 151).
Negative factor pairs of 453: (-1, -453) and (-3, -151).
Common Mistakes and How to Avoid Them in Factors of 453
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
People might forget to add the given number itself and 1 as a factor. The number itself and 1 are factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 453, 1 and 453 are also factors.
Mistake 2
Missing Negative Factors
We often only mention positive factors. There are also negative factors; always check whether you have mentioned negative factors.
For example, the factors of 453 include -1, -3, -151, etc.
Mistake 3
Including the Fraction
People might sometimes mistakenly think that fractions can be factors. Only whole numbers can be factors.
For example, thinking 1.5 is a factor because 453/1.5 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 453 are prime numbers.
For example, 3 and 151 are the prime factors of 453, but it has other factors like 1 and 453.
Mistake 5
Mistake in Factorization
People might skip steps in factorization and end up writing wrong factors.
For example, not breaking 453 as 3 × 151 and missing key factors.
Factors of 453 Examples
Problem 1
There are 3 teams and 453 marbles. How will they divide it equally?
They will get 151 marbles each.
Explanation
To divide the marbles equally, we need to divide the total marbles by the number of teams.
453/3 = 151
Problem 2
A field is rectangular, the length of the field is 3 meters and the total area is 453 square meters. Find the width.
151 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
453 = 3 × width
To find the value of width, we need to divide 453 by 3.
453/3 = width
Width = 151.
Problem 3
There are 151 baskets and 453 apples. How many apples will be in each basket?
Each basket will have 3 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
453/151 = 3
Problem 4
In a class, there are 453 students, and 3 groups. How many students are there in each group?
There are 151 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
453/3 = 151
Problem 5
453 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 151 books.
Explanation
Divide total books by shelves.
453/3 = 151
FAQs on Factors of 453
1.What are the factors of 453?
2.Mention the prime factors of 453.
3.Is 453 a multiple of 3?
4.Mention the factor pairs of 453?
5.What is the square of 453?
6.How can children in Bahrain use numbers in everyday life to understand Factors of 453?
7.What are some fun ways kids in Bahrain can practice Factors of 453 with numbers?
8.What role do numbers and Factors of 453 play in helping children in Bahrain develop problem-solving skills?
9.How can families in Bahrain create number-rich environments to improve Factors of 453 skills?
Important Glossaries for Factor of 453
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 453 are 1, 3, 151, and 453.
- Prime factors: The factors which are prime numbers. For example, 3 and 151 are prime factors of 453.
- 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 453 are (1, 453) and (3, 151).
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, the prime factorization of 453 is 3 × 151.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 453 are -1, -3, -151, and -453.
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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.
