106 LearnersLast updated on May 26th, 2025
Factors of 438
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing the items equally, arranging things, etc. In this topic, we will learn about the factors of 438, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 438?
The numbers that divide 438 evenly are known as factors of 438.
A factor of 438 is a number that divides the number without remainder.
The factors of 438 are 1, 2, 3, 6, 73, 146, 219, and 438.
Negative factors of 438: -1, -2, -3, -6, -73, -146, -219, and -438.
Prime factors of 438: 2, 3, and 73.
Prime factorization of 438: 2 × 3 × 73.
The sum of factors of 438: 1 + 2 + 3 + 6 + 73 + 146 + 219 + 438 = 888
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How to Find Factors of 438?
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 438. Identifying the numbers which are multiplied to get the number 438 is the multiplication method.
Step 1: Multiply 438 by 1, 438 × 1 = 438.
Step 2: Check for other numbers that give 438 after multiplying
2 × 219 = 438
3 × 146 = 438
6 × 73 = 438
Therefore, the positive factor pairs of 438 are: (1, 438), (2, 219), (3, 146), (6, 73). All these factor pairs result in 438.
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 the simple division method
Step 1: Divide 438 by 1, 438 ÷ 1 = 438.
Step 2: Continue dividing 438 by the numbers until the remainder becomes 0.
438 ÷ 1 = 438
438 ÷ 2 = 219
438 ÷ 3 = 146
438 ÷ 6 = 73
Therefore, the factors of 438 are: 1, 2, 3, 6, 73, 146, 219, 438.
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 438 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
438 ÷ 2 = 219
219 ÷ 3 = 73
73 is a prime number
The prime factors of 438 are 2, 3, and 73.
The prime factorization of 438 is: 2 × 3 × 73.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 438 is divided by 2 to get 219.
Step 2: Now divide 219 by 3 to get 73.
Here, 73 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 438 is: 2 × 3 × 73.
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 438: (1, 438), (2, 219), (3, 146), and (6, 73).
Negative factor pairs of 438: (-1, -438), (-2, -219), (-3, -146), and (-6, -73).
Common Mistakes and How to Avoid Them in Factors of 438
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 438, 1 and 438 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 438 consist of -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 438/1.5 = 292, 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 438 are prime numbers.
For example, 2, 3, and 73 are the prime factors of 438, but it has other factors like 6, 219.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 438 as 2 × 3 × 73 and missing all the key factors.
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Factors of 438 Examples
Problem 1
A class has 3 tables and 438 cupcakes. How will they arrange them equally among the tables?
Each table will have 146 cupcakes.
Explanation
To divide the cupcakes equally, we need to divide the total cupcakes by the number of tables.
438/3 = 146
Problem 2
A garden is rectangular, the width of the garden is 6 meters and the total area is 438 square meters. Find the length?
73 meters.
Explanation
To find the length of the garden, we use the formula,
Area = length × width
438 = length × 6
To find the value of length, we need to shift 6 to the left side.
438/6 = length
Length = 73.
Problem 3
There are 438 apples and 219 baskets. How many apples will be in each basket?
Each basket will have 2 apples.
Explanation
To find the apples in each basket, divide the total apples by the baskets.
438/219 = 2
Problem 4
In an auditorium, there are 438 seats and 73 rows. How many seats are there in each row?
There are 6 seats in each row.
Explanation
Dividing the seats by the total rows, we will get the number of seats in each row.
438/73 = 6
Problem 5
438 pages need to be divided into 146 sections. How many pages will go in each section?
Each section will have 3 pages.
Explanation
Divide total pages by sections.
438/146 = 3
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FAQs on Factors of 438
1.What are the factors of 438?
2.Mention the prime factors of 438.
3.Is 438 a multiple of 6?
4.Mention the factor pairs of 438?
5.What is the square of 438?
6.How can children in United States use numbers in everyday life to understand Factors of 438?
7.What are some fun ways kids in United States can practice Factors of 438 with numbers?
8.What role do numbers and Factors of 438 play in helping children in United States develop problem-solving skills?
9.How can families in United States create number-rich environments to improve Factors of 438 skills?
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Important Glossaries for Factor of 438
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 438 are 1, 2, 3, 6, 73, 146, 219, and 438.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 73 are prime factors of 438.
- 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 438 are (1, 438), (2, 219), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to the given number. For example, 2 × 219 = 438.
- Division method: A method to find factors by dividing the number by whole numbers until the remainder is zero. For example, 438 ÷ 3 = 146.
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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.
