208 LearnersLast updated on May 26th, 2025
Factors of 452
Factors are the numbers that divide any given number evenly without a 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 452, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 452?
The numbers that divide 452 evenly are known as factors of 452.
A factor of 452 is a number that divides the number without a remainder.
The factors of 452 are 1, 2, 4, 113, 226, and 452.
Negative factors of 452: -1, -2, -4, -113, -226, and -452.
Prime factors of 452: 2 and 113.
Prime factorization of 452: 2² × 113.
The sum of factors of 452: 1 + 2 + 4 + 113 + 226 + 452 = 798
How to Find Factors of 452?
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 452. Identifying the numbers which are multiplied to get the number 452 is the multiplication method.
Step 1: Multiply 452 by 1, 452 × 1 = 452.
Step 2: Check for other numbers that give 452 after multiplying
2 × 226 = 452
4 × 113 = 452
Therefore, the positive factor pairs of 452 are: (1, 452), (2, 226), (4, 113). All these factor pairs result in 452.
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 452 by 1, 452 ÷ 1 = 452.
Step 2: Continue dividing 452 by the numbers until the remainder becomes 0.
452 ÷ 1 = 452
452 ÷ 2 = 226
452 ÷ 4 = 113
Therefore, the factors of 452 are: 1, 2, 4, 113, 226, 452.
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 the factor tree
Using Prime Factorization: In this process, prime factors of 452 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
452 ÷ 2 = 226
226 ÷ 2 = 113
113 ÷ 113 = 1
The prime factors of 452 are 2 and 113.
The prime factorization of 452 is: 2² × 113.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 452 is divided by 2 to get 226.
Step 2: Now divide 226 by 2 to get 113. Here, 113 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 452 is: 2² × 113.
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 452: (1, 452), (2, 226), (4, 113).
Negative factor pairs of 452: (-1, -452), (-2, -226), (-4, -113).
Common Mistakes and How to Avoid Them in Factors of 452
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 452, 1 and 452 is also a factor.
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 452 consist of -1, -2, -4, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 452/1.5 = 301.333, 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 452 are prime numbers.
For example, 2 and 113 are the prime factors of 452, but it has other factors like 4, 226.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 452 as 2² × 113 and missing all the key factors.
Factors of 452 Examples
Problem 1
There are 2 teams and 452 candies. How will they divide them equally?
They will get 226 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of teams.
452/2 = 226
Problem 2
A field is rectangular, the length of the field is 4 meters and the total area is 452 square meters. Find the width?
113 meters.
Explanation
To find the width of the field, we use the formula,
Area = length × width
452 = 4 × width
To find the value of width, we need to shift 4 to the left side.
452/4 = width
Width = 113.
Problem 3
There are 4 boxes and 452 apples. How many apples will be in each box?
Each box will have 113 apples.
Explanation
To find the apples in each box, divide the total apples by the boxes.
452/4 = 113
Problem 4
In a class, there are 452 students, and 113 groups. How many students are there in each group?
There are 4 students in each group.
Explanation
Dividing the students with the total groups, we will get the number of students in each group.
452/113 = 4
Problem 5
452 books need to be arranged in 2 shelves. How many books will go on each shelf?
Each of the shelves has 226 books.
Explanation
Divide total books with shelves.
452/2 = 226
FAQs on Factors of 452
1.What are the factors of 452?
2.Mention the prime factors of 452.
3.Is 452 a multiple of 4?
4.Mention the factor pairs of 452?
5.What is the square of 452?
6.How can children in Thailand use numbers in everyday life to understand Factors of 452?
7.What are some fun ways kids in Thailand can practice Factors of 452 with numbers?
8.What role do numbers and Factors of 452 play in helping children in Thailand develop problem-solving skills?
9.How can families in Thailand create number-rich environments to improve Factors of 452 skills?
Important Glossaries for Factors of 452
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 452 are 1, 2, 4, 113, 226, and 452.
- Prime factors: The factors which are prime numbers. For example, 2 and 113 are prime factors of 452.
- 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 452 are (1, 452), (2, 226), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 452 is 2² × 113.
- Negative factors: Factors that are negative numbers. For example, the negative factors of 452 are -1, -2, -4, -113, -226, and -452.
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About BrightChamps in Thailand
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.
