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 items equally, arranging things, etc. In this topic, we will learn about the factors of 244, how they are used in real life, and tips to learn them quickly.
The numbers that divide 244 evenly are known as factors of 244.
A factor of 244 is a number that divides the number without remainder.
The factors of 244 are 1, 2, 4, 61, 122, and 244.
Negative factors of 244: -1, -2, -4, -61, -122, and -244
Prime factors of 244: 2 and 61.
Prime factorization of 244: 2² × 61.
The sum of factors of 244: 1 + 2 + 4 + 61 + 122 + 244 = 434
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 244. Identifying the numbers which are multiplied to get the number 244 is the multiplication method.
Step 1: Multiply 244 by 1, 244 × 1 = 244.
Step 2: Check for other numbers that give 244 after multiplying
2 × 122 = 244
4 × 61 = 244
Therefore, the positive factor pairs of 244 are: (1, 244), (2, 122), and (4, 61).
All these factor pairs result in 244. 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 244 by 1, 244 ÷ 1 = 244.
Step 2: Continue dividing 244 by the numbers until the remainder becomes 0.
244 ÷ 1 = 244
244 ÷ 2 = 122
244 ÷ 4 = 61
Therefore, the factors of 244 are: 1, 2, 4, 61, 122, and 244.
The factors can be found by dividing them with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 244 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
244 ÷ 2 = 122
122 ÷ 2 = 61
61 ÷ 61 = 1
The prime factors of 244 are 2 and 61.
The prime factorization of 244 is: 2² × 61.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 244 is divided by 2 to get 122.
Step 2: Now divide 122 by 2 to get 61. Here, 61 is a prime number, that cannot be divided anymore. So, the prime factorization of 244 is: 2² × 61.
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 244: (1, 244), (2, 122), and (4, 61).
Negative factor pairs of 244: (-1, -244), (-2, -122), and (-4, -61).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and ways to avoid them.
There are 4 teams and 244 apples. How will they divide them equally?
They will get 61 apples each.
To divide the apples equally, we need to divide the total apples by the number of teams.
244/4 = 61
A rectangular garden has a length of 2 meters and a total area of 244 square meters. Find the width.
122 meters.
To find the width of the garden, we use the formula, Area = length × width
244 = 2 × width
To find the value of width, we need to shift 2 to the left side.
244/2 = width
Width = 122.
There are 122 boxes and 244 candies. How many candies will be in each box?
Each box will have 2 candies.
To find the candies in each box, divide the total candies by the boxes.
244/122 = 2
In a class, there are 244 students, and they need to form 2 groups. How many students are there in each group?
There are 122 students in each group.
Dividing the students by the total groups, we will get the number of students in each group.
244/2 = 122
244 books need to be arranged in 61 shelves. How many books will go on each shelf?
Each shelf will have 4 books.
Divide total books by shelves.
244/61 = 4
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.