127 LearnersLast updated on May 26th, 2025
Factors of 226
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 226, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 226?
The numbers that divide 226 evenly are known as factors of 226.
A factor of 226 is a number that divides the number without remainder.
The factors of 226 are 1, 2, 113, and 226.
Negative factors of 226: -1, -2, -113, and -226.
Prime factors of 226: 2 and 113.
Prime factorization of 226: 2 × 113.
The sum of factors of 226: 1 + 2 + 113 + 226 = 342
How to Find Factors of 226?
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 226. Identifying the numbers which are multiplied to get the number 226 is the multiplication method.
Step 1: Multiply 226 by 1, 226 × 1 = 226.
Step 2: Check for other numbers that give 226 after multiplying
2 × 113 = 226
Therefore, the positive factor pairs of 226 are: (1, 226) and (2, 113).
All these factor pairs result in 226.
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 a simple division method -
Step 1: Divide 226 by 1, 226 ÷ 1 = 226.
Step 2: Continue dividing 226 by the numbers until the remainder becomes 0.
226 ÷ 1 = 226
226 ÷ 2 = 113
Therefore, the factors of 226 are: 1, 2, 113, 226.
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 226 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
226 ÷ 2 = 113
113 ÷ 113 = 1
The prime factors of 226 are 2 and 113.
The prime factorization of 226 is: 2 × 113.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 226 is divided by 2 to get 113.
Step 2: Now divide 113 by itself to get 1.
Here, 113 is a prime number and cannot be divided anymore.
So, the prime factorization of 226 is: 2 × 113.
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 226: (1, 226) and (2, 113).
Negative factor pairs of 226: (-1, -226) and (-2, -113).
Common Mistakes and How to Avoid Them in Factors of 226
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 number. Always remember to include 1 and the number itself.
For example, in factors of 226, 1 and 226 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 226 consist of -1, -2, 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 226/1.5 = 150.666, 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 226 are prime numbers.
For example, 2 and 113 are the prime factors of 226, but it has other factors like 1 and 226.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 226 as 2 × 113 and missing all the key factors.
Factors of 226 Examples
Problem 1
There are 113 students and 226 apples. How will they distribute them equally?
Each student will get 2 apples.
Explanation
To distribute the apples equally, we need to divide the total apples by the number of students.
226/113 = 2
Problem 2
A rectangular garden has a length of 113 meters and a total area of 226 square meters. Find the width.
2 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
226 = 113 × width
To find the value of width, we need to shift 113 to the left side.
226/113 = width
Width = 2.
Problem 3
There are 2 crates and 226 oranges. How many oranges will be in each crate?
Each crate will have 113 oranges.
Explanation
To find the oranges in each crate, divide the total oranges by the crates.
226/2 = 113
Problem 4
In a class, there are 226 students, and they are to be divided into groups of 2. How many students are there in each group?
There are 113 groups.
Explanation
Dividing the students with the number of students per group, we will get the number of groups.
226/2 = 113
Problem 5
226 books need to be arranged in 113 shelves. How many books will go on each shelf?
Each of the shelves has 2 books.
Explanation
Divide total books by shelves.
226/113 = 2
FAQs on Factors of 226
1.What are the factors of 226?
2.Mention the prime factors of 226.
3.Is 226 a multiple of 2?
4.Mention the factor pairs of 226.
5.What is the square of 226?
6.How can children in Singapore use numbers in everyday life to understand Factors of 226?
7.What are some fun ways kids in Singapore can practice Factors of 226 with numbers?
8.What role do numbers and Factors of 226 play in helping children in Singapore develop problem-solving skills?
9.How can families in Singapore create number-rich environments to improve Factors of 226 skills?
Important Glossaries for Factors of 226
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 226 are 1, 2, 113, and 226.
- Prime factors: The factors which are prime numbers. For example, 2 and 113 are prime factors of 226.
- 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 226 are (1, 226) and (2, 113).
- Multiplication method: A method to find factors by identifying multiplication pairs that result in the given number.
- Division method: A method to find factors by dividing the number by whole numbers until a remainder of zero is achieved.
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About BrightChamps in Singapore
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.
