102 LearnersLast updated on May 26th, 2025
Factors of 935
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 935, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 935?
The numbers that divide 935 evenly are known as factors of 935.
A factor of 935 is a number that divides the number without remainder.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, and 935.
Negative factors of 935: -1, -5, -11, -17, -55, -85, -187, and -935.
Prime factors of 935: 5, 11, and 17.
Prime factorization of 935: 5 × 11 × 17.
The sum of factors of 935: 1 + 5 + 11 + 17 + 55 + 85 + 187 + 935 = 1,296
How to Find Factors of 935?
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 935. Identifying the numbers which are multiplied to get the number 935 is the multiplication method.
Step 1: Multiply 935 by 1, 935 × 1 = 935.
Step 2: Check for other numbers that give 935 after multiplying
5 × 187 = 935
11 × 85 = 935
17 × 55 = 935
Therefore, the positive factor pairs of 935 are: (1, 935), (5, 187), (11, 85), and (17, 55).
All these factor pairs result in 935.
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 935 by 1, 935 ÷ 1 = 935.
Step 2: Continue dividing 935 by the numbers until the remainder becomes 0.
935 ÷ 1 = 935
935 ÷ 5 = 187
935 ÷ 11 = 85
935 ÷ 17 = 55
Therefore, the factors of 935 are: 1, 5, 11, 17, 55, 85, 187, 935.
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 935 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
935 ÷ 5 = 187
187 ÷ 11 = 17
17 ÷ 17 = 1
The prime factors of 935 are 5, 11, and 17.
The prime factorization of 935 is: 5 × 11 × 17.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 935 is divided by 5 to get 187.
Step 2: Now divide 187 by 11 to get 17.
Step 3: Here, 17 is the smallest prime number, that cannot be divided anymore.
So, the prime factorization of 935 is: 5 × 11 × 17.
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 935: (1, 935), (5, 187), (11, 85), and (17, 55).
Negative factor pairs of 935: (-1, -935), (-5, -187), (-11, -85), and (-17, -55).
Common Mistakes and How to Avoid Them in Factors of 935
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 word. Always remember to include 1 and the number itself.
For example, in factors of 935, 1 and 935 is also a factor.
Factors of 935 Examples
Problem 1
There are 5 teams and 935 participants. How will they divide it equally?
They will get 187 participants each.
Explanation
To divide the participants equally, we need to divide the total participants with the number of teams.
935/5 = 187
Problem 2
A library has a rectangular section, the length of the section is 17 meters and the total area is 935 square meters. Find the width?
55 meters.
Explanation
To find the width of the section, we use the formula,
Area = length × width
935 = 17 × width
To find the value of the width, we need to shift 17 to the left side.
935/17 = width Width = 55.
Problem 3
There are 11 buses and 935 students. How many students will be in each bus?
Each bus will have 85 students.
Explanation
To find the students in each bus, divide the total students with the buses.
935/11 = 85
Problem 4
In a school, there are 935 students, and 85 classes. How many students are there in each class?
There are 11 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
935/85 = 11
Problem 5
935 books need to be arranged in 17 shelves. How many books will go on each shelf?
Each of the shelves has 55 books.
Explanation
Divide total books with shelves.
935/17 = 55
FAQs on Factors of 935
1.What are the factors of 935?
2.Mention the prime factors of 935.
3.Is 935, a multiple of 11?
4.Mention the factor pairs of 935?
5.What is the square of 935?
Important Glossaries for Factor of 935
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 935 are 1, 5, 11, 17, 55, 85, 187, and 935.
- Prime factors: The factors which are prime numbers. For example, 5, 11, and 17 are prime factors of 935.
- 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 935 are (1, 935), (5, 187), etc.
- Prime factorization: Writing a number as a product of its prime factors. For example, the prime factorization of 935 is 5 × 11 × 17.
- Multiple: A number that can be divided by another number without leaving a remainder. For example, 935 is a multiple of 1, 5, 11, and 17.
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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.
