124 LearnersLast updated on May 26th, 2025
Factors of 235
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 235, how they are used in real life, and tips to learn them quickly.
What are the Factors of 235?
The numbers that divide 235 evenly are known as factors of 235.
A factor of 235 is a number that divides the number without remainder.
The factors of 235 are 1, 5, 47, and 235.
Negative factors of 235: -1, -5, -47, and -235.
Prime factors of 235: 5 and 47.
Prime factorization of 235: 5 × 47.
The sum of factors of 235: 1 + 5 + 47 + 235 = 288
How to Find Factors of 235?
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 235. Identifying the numbers which are multiplied to get the number 235 is the multiplication method.
Step 1: Multiply 235 by 1, 235 × 1 = 235.
Step 2: Check for other numbers that give 235 after multiplying 5 × 47 = 235
Therefore, the positive factor pairs of 235 are: (1, 235) and (5, 47). All these factor pairs result in 235. 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 235 by 1, 235 ÷ 1 = 235.
Step 2: Continue dividing 235 by the numbers until the remainder becomes 0.
235 ÷ 1 = 235
235 ÷ 5 = 47
Therefore, the factors of 235 are: 1, 5, 47, 235.
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 235 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
235 ÷ 5 = 47
47 ÷ 47 = 1
The prime factors of 235 are 5 and 47.
The prime factorization of 235 is: 5 × 47.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 235 is divided by 5 to get 47.
Step 2: 47 is a prime number and cannot be divided further.
So, the prime factorization of 235 is: 5 × 47.
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 235: (1, 235) and (5, 47).
Negative factor pairs of 235: (-1, -235) and (-5, -47).
Common Mistakes and How to Avoid Them in Factors of 235
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 235, 1 and 235 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 235 consist of -1, -5, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions as factors. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 235/1.5 = 156.666…, 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 235 are prime numbers. For example, 5 and 47 are the prime factors of 235, but it has other factors like 1 and 235.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 235 as 5 × 47 and missing all the key factors.
Factors of 235 Examples
Problem 1
There are 5 teams and 235 points. How will they distribute the points equally?
Each team will get 47 points.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
235/5 = 47
Problem 2
A garden plot is rectangular, the length of the plot is 47 meters and the total area is 235 square meters. Find the width?
5 meters.
Explanation
To find the width of the plot, we use the formula, Area = length × width
235 = 47 × width
To find the value of width, we need to shift 47 to the left side.
235/47 = width
Width = 5.
Problem 3
There are 47 rows and 235 plants. How many plants will be in each row?
Each row will have 5 plants.
Explanation
To find the plants in each row, divide the total plants by the number of rows.
235/47 = 5
Problem 4
In a class, there are 235 students, and 5 groups. How many students are there in each group?
There are 47 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
235/5 = 47
Problem 5
235 books need to be arranged in 47 shelves. How many books will go on each shelf?
Each of the shelves has 5 books.
Explanation
Divide total books by shelves.
235/47 = 5
FAQs on Factors of 235
1.What are the factors of 235?
2.Mention the prime factors of 235.
3.Is 235 a multiple of 5?
4.Mention the factor pairs of 235?
5.What is the square of 235?
6.How can children in Australia use numbers in everyday life to understand Factors of 235?
7.What are some fun ways kids in Australia can practice Factors of 235 with numbers?
8.What role do numbers and Factors of 235 play in helping children in Australia develop problem-solving skills?
9.How can families in Australia create number-rich environments to improve Factors of 235 skills?
Important Glossaries for Factors of 235
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 235 are 1, 5, 47, and 235.
- Prime factors: The factors which are prime numbers. For example, 5 and 47 are prime factors of 235.
- 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 235 are (1, 235) and (5, 47).
- Prime factorization: Expressing a number as the product of its prime factors. For example, 235 as 5 × 47.
- Negative factors: The negative counterparts of positive factors. For example, -1, -5, -47, and -235 are negative factors of 235.
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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.
