Last updated on May 26th, 2025
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.
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
Factors can be found using different methods. Mentioned below are some commonly used methods:
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.
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.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
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.
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).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
A class has 3 tables and 438 cupcakes. How will they arrange them equally among the tables?
Each table will have 146 cupcakes.
To divide the cupcakes equally, we need to divide the total cupcakes by the number of tables.
438/3 = 146
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.
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.
There are 438 apples and 219 baskets. How many apples will be in each basket?
Each basket will have 2 apples.
To find the apples in each basket, divide the total apples by the baskets.
438/219 = 2
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.
Dividing the seats by the total rows, we will get the number of seats in each row.
438/73 = 6
438 pages need to be divided into 146 sections. How many pages will go in each section?
Each section will have 3 pages.
Divide total pages by sections.
438/146 = 3
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.
: She loves to read number jokes and games.