118 LearnersLast updated on May 26th, 2025
Factors of 230
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 230, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 230?
The numbers that divide 230 evenly are known as factors of 230.
A factor of 230 is a number that divides the number without remainder.
The factors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230.
Negative factors of 230: -1, -2, -5, -10, -23, -46, -115, and -230.
Prime factors of 230: 2, 5, and 23.
Prime factorization of 230: 2 × 5 × 23.
The sum of factors of 230: 1 + 2 + 5 + 10 + 23 + 46 + 115 + 230 = 432
How to Find Factors of 230?
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 230. Identifying the numbers which are multiplied to get the number 230 is the multiplication method.
Step 1: Multiply 230 by 1, 230 × 1 = 230.
Step 2: Check for other numbers that give 230 after multiplying
2 × 115 = 230
5 × 46 = 230
10 × 23 = 230
Therefore, the positive factor pairs of 230 are: (1, 230), (2, 115), (5, 46), (10, 23).
All these factor pairs result in 230.
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 230 by 1, 230 ÷ 1 = 230.
Step 2: Continue dividing 230 by the numbers until the remainder becomes 0.
230 ÷ 1 = 230
230 ÷ 2 = 115
230 ÷ 5 = 46
230 ÷ 10 = 23
Therefore, the factors of 230 are: 1, 2, 5, 10, 23, 46, 115, 230.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 230 divide the number to break it down in the multiplication form of prime factors until the remainder becomes 1.
230 ÷ 2 = 115
115 ÷ 5 = 23
23 ÷ 23 = 1
The prime factors of 230 are 2, 5, and 23.
The prime factorization of 230 is: 2 × 5 × 23.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 230 is divided by 2 to get 115.
Step 2: Now divide 115 by 5 to get 23.
Step 3: As 23 is a prime number, it cannot be divided further.
So, the prime factorization of 230 is: 2 × 5 × 23.
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 230: (1, 230), (2, 115), (5, 46), (10, 23).
Negative factor pairs of 230: (-1, -230), (-2, -115), (-5, -46), (-10, -23).
Common Mistakes and How to Avoid Them in Factors of 230
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 230, 1 and 230 is also a factor.
Mistake 2
Missing Negative Factors
We often mention only positive factors. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 230 consist of -1, -2, -5, etc.
Mistake 3
Including a Fraction
Children might sometimes add fractions as factors. Only whole numbers can be factors.
For example, thinking 1.5 as a factor, because 230/1.5 = 153.333, 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 230 are prime numbers. For example, 2, 5, and 23 are the prime factors of 230, but it has other factors like 10, 46.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 230 as 2 × 5 × 23 and missing all the key factors.
Factors of 230 Examples
Problem 1
There are 10 teams and 230 points. How will they divide it equally?
Each team will get 23 points.
Explanation
To divide the points equally, we need to divide the total points by the number of teams.
230/10 = 23
Problem 2
A banner is rectangular, the length of the banner is 5 meters and the total area is 230 square meters. Find the width?
46 meters.
Explanation
To find the width of the banner, we use the formula, Area = length × width
230 = 5 × width
To find the value of width, we need to shift 5 to the left side.
230/5 = width
Width = 46.
Problem 3
There are 23 boxes and 230 items. How many items will be in each box?
Each box will have 10 items.
Explanation
To find the items in each box, divide the total items by the boxes.
230/23 = 10
Problem 4
In a class, there are 230 students, and 2 groups. How many students are there in each group?
There are 115 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
230/2 = 115
Problem 5
230 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 46 books.
Explanation
Divide total books by shelves.
230/5 = 46
FAQs on Factors of 230
1.What are the factors of 230?
2.Mention the prime factors of 230.
3.Is 230 a multiple of 23?
4.Mention the factor pairs of 230?
5.What is the square of 230?
6.How can children in India use numbers in everyday life to understand Factors of 230?
7.What are some fun ways kids in India can practice Factors of 230 with numbers?
8.What role do numbers and Factors of 230 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 230 skills?
Important Glossaries for Factor of 230
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 230 are 1, 2, 5, 10, 23, 46, 115, and 230.
- Prime factors: The factors which are prime numbers. For example, 2, 5, and 23 are prime factors of 230.
- 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 230 are (1, 230), (2, 115), etc.
- Prime factorization: The process of expressing a number as a product of its prime factors. For example, 230 is 2 × 5 × 23.
- Multiples: The result of multiplying a number by an integer. For example, 230 is a multiple of 23.
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About BrightChamps in India
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.
