121 LearnersLast updated on May 26th, 2025
Factors of 244
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.
What are the Factors of 244?
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
How to Find Factors of 244?
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 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.
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 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.
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 factor tree
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.
Factor Tree
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).
Common Mistakes and How to Avoid Them in Factors of 244
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and 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 number. Always remember to include 1 and the number itself.
For example, in factors of 244, 1 and 244 are also factors.
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 244 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 244/1.5 does not result in 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 244 are prime numbers. For example, 2 and 61 are the prime factors of 244, but it has other factors like 4 and 122.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing the wrong factors.
For example, not breaking 244 as 2² × 61 and missing all the key factors.
Factors of 244 Examples
Problem 1
There are 4 teams and 244 apples. How will they divide them equally?
They will get 61 apples each.
Explanation
To divide the apples equally, we need to divide the total apples by the number of teams.
244/4 = 61
Problem 2
A rectangular garden has a length of 2 meters and a total area of 244 square meters. Find the width.
122 meters.
Explanation
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.
Problem 3
There are 122 boxes and 244 candies. How many candies will be in each box?
Each box will have 2 candies.
Explanation
To find the candies in each box, divide the total candies by the boxes.
244/122 = 2
Problem 4
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.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
244/2 = 122
Problem 5
244 books need to be arranged in 61 shelves. How many books will go on each shelf?
Each shelf will have 4 books.
Explanation
Divide total books by shelves.
244/61 = 4
FAQs on Factors of 244
1.What are the factors of 244?
2.Mention the prime factors of 244.
3.Is 244 a multiple of 4?
4.Mention the factor pairs of 244?
5.What is the square of 244?
6.How can children in Australia use numbers in everyday life to understand Factors of 244?
7.What are some fun ways kids in Australia can practice Factors of 244 with numbers?
8.What role do numbers and Factors of 244 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 244 skills?
Important Glossaries for Factor of 244
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 244 are 1, 2, 4, 61, 122, and 244.
- Prime factors: The factors which are prime numbers. For example, 2 and 61 are prime factors of 244.
- 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 244 are (1, 244), (2, 122), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 244 is 2² × 61.
- Negative factors: The negative counterparts of the positive factors of a number. For example, the negative factors of 244 are -1, -2, -4, -61, -122, and -244.
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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.
