Last updated on May 26th, 2025
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 444, how they are used in real life, and tips to learn them quickly.
The numbers that divide 444 evenly are known as factors of 444.
A factor of 444 is a number that divides the number without a remainder.
The factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444.
Negative factors of 444: -1, -2, -3, -4, -6, -12, -37, -74, -111, -148, -222, and -444.
Prime factors of 444: 2, 3, and 37.
Prime factorization of 444: 2 × 2 × 3 × 37.
The sum of factors of 444: 1 + 2 + 3 + 4 + 6 + 12 + 37 + 74 + 111 + 148 + 222 + 444 = 1064
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 444. Identifying the numbers which are multiplied to get the number 444 is the multiplication method.
Step 1: Multiply 444 by 1, 444 × 1 = 444.
Step 2: Check for other numbers that give 444 after multiplying
2 × 222 = 444
3 × 148 = 444
4 × 111 = 444
6 × 74 = 444
12 × 37 = 444
Therefore, the positive factor pairs of 444 are: (1, 444), (2, 222), (3, 148), (4, 111), (6, 74), (12, 37).
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 a simple division method
Step 1: Divide 444 by 1, 444 ÷ 1 = 444.
Step 2: Continue dividing 444 by the numbers until the remainder becomes 0.
444 ÷ 1 = 444
444 ÷ 2 = 222
444 ÷ 3 = 148
444 ÷ 4 = 111
444 ÷ 6 = 74
444 ÷ 12 = 37
Therefore, the factors of 444 are: 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, and 444.
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 444 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
444 ÷ 2 = 222
222 ÷ 2 = 111
111 ÷ 3 = 37
37 ÷ 37 = 1
The prime factors of 444 are 2, 3, and 37.
The prime factorization of 444 is: 2 × 2 × 3 × 37.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows
Step 1: Firstly, 444 is divided by 2 to get 222.
Step 2: Now divide 222 by 2 to get 111.
Step 3: Then divide 111 by 3 to get 37. Here, 37 is the smallest prime number that cannot be divided anymore.
So, the prime factorization of 444 is: 2 × 2 × 3 × 37.
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 444: (1, 444), (2, 222), (3, 148), (4, 111), (6, 74), and (12, 37).
Negative factor pairs of 444: (-1, -444), (-2, -222), (-3, -148), (-4, -111), (-6, -74), and (-12, -37).
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 company has 444 units of product and wants to distribute them equally among 12 departments. How many units will each department get?
Each department will get 37 units.
To distribute the units equally, we need to divide the total units with the number of departments.
444/12 = 37
A playground is rectangular, the length of the playground is 37 meters, and the total area is 444 square meters. Find the width?
12 meters.
To find the width of the playground, we use the formula,
Area = length × width
444 = 37 × width
To find the value of width, we need to shift 37 to the left side.
444/37 = width
Width = 12.
There are 6 trucks and 444 boxes. How many boxes will be loaded in each truck?
Each truck will have 74 boxes.
To find the boxes in each truck, divide the total boxes with the trucks.
444/6 = 74
In a school, there are 444 students and 4 classes. How many students are there in each class?
There are 111 students in each class.
Dividing the students with the total classes, we will get the number of students in each class.
444/4 = 111
444 plants need to be arranged in 3 rows. How many plants will go in each row?
Each of the rows has 148 plants.
Divide total plants with rows.
444/3 = 148
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.