100 LearnersLast updated on May 26th, 2025
Factors of 2535
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 2535, how they are used in real life, and tips to learn them quickly.
What are the Factors of 2535?
The numbers that divide 2535 evenly are known as factors of 2535.
A factor of 2535 is a number that divides the number without leaving a remainder.
The factors of 2535 are 1, 3, 5, 15, 169, 507, 845, and 2535.
Negative factors of 2535: -1, -3, -5, -15, -169, -507, -845, and -2535.
Prime factors of 2535: 3, 5, and 169.
Prime factorization of 2535: 3 × 5 × 169.
The sum of factors of 2535: 1 + 3 + 5 + 15 + 169 + 507 + 845 + 2535 = 4080
How to Find Factors of 2535?
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 2535. Identifying the numbers which are multiplied to get the number 2535 is the multiplication method.
Step 1: Multiply 2535 by 1, 2535 × 1 = 2535.
Step 2: Check for other numbers that give 2535 after multiplying
3 × 845 = 2535
5 × 507 = 2535
15 × 169 = 2535
Therefore, the positive factor pairs of 2535 are: (1, 2535), (3, 845), (5, 507), and (15, 169).
All these factor pairs result in 2535.
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given number with whole numbers until the remainder becomes zero and listing out the numbers which result in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 2535 by 1, 2535 ÷ 1 = 2535.
Step 2: Continue dividing 2535 by the numbers until the remainder becomes 0.
2535 ÷ 1 = 2535
2535 ÷ 3 = 845
2535 ÷ 5 = 507
2535 ÷ 15 = 169
Therefore, the factors of 2535 are: 1, 3, 5, 15, 169, 507, 845, 2535.
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 2535 divide the number to break it down into the multiplication form of prime factors till the remainder becomes 1.
2535 ÷ 3 = 845
845 ÷ 5 = 169
169 ÷ 13 = 13
13 ÷ 13 = 1
The prime factors of 2535 are 3, 5, and 13.
The prime factorization of 2535 is: 3 × 5 × 13 × 13.
Factor Tree
The factor tree is a graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 2535 is divided by 3 to get 845.
Step 2: Now divide 845 by 5 to get 169.
Step 3: Then divide 169 by 13 to get 13.
Step 4: Divide 13 by 13 to get 1.
Here, 13 is a prime number, that cannot be divided anymore.
So, the prime factorization of 2535 is: 3 × 5 × 13 × 13.
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 2535: (1, 2535), (3, 845), (5, 507), and (15, 169).
Negative factor pairs of 2535: (-1, -2535), (-3, -845), (-5, -507), and (-15, -169).
Common Mistakes and How to Avoid Them in Factors of 2535
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
People 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 2535, 1 and 2535 are also factors.
Factors of 2535 Examples
Problem 1
There are 15 teams and 2535 players. How will they distribute the players equally?
They will get 169 players each.
Explanation
To distribute the players equally, we need to divide the total players by the number of teams.
2535/15 = 169
Problem 2
A park is rectangular, the length of the park is 15 meters and the total area is 2535 square meters. Find the width?
169 meters.
Explanation
To find the width of the park, we use the formula,
Area = length × width
2535 = 15 × width
To find the value of width, we need to shift 15 to the left side.
2535/15 = width
Width = 169.
Problem 3
There are 507 bags and 2535 candies. How many candies will be in each bag?
Each bag will have 5 candies.
Explanation
To find the candies in each bag, divide the total candies by the bags.
2535/507 = 5
Problem 4
In a class, there are 2535 students, and 3 groups. How many students are there in each group?
There are 845 students in each group.
Explanation
Dividing the students by the total groups, we will get the number of students in each group.
2535/3 = 845
Problem 5
2535 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 507 books.
Explanation
Divide total books by shelves.
2535/5 = 507
FAQs on Factors of 2535
1.What are the factors of 2535?
2.Mention the prime factors of 2535.
3.Is 2535 a multiple of 5?
4.Mention the factor pairs of 2535?
5.What is the square of 2535?
6.How can children in India use numbers in everyday life to understand Factors of 2535?
7.What are some fun ways kids in India can practice Factors of 2535 with numbers?
8.What role do numbers and Factors of 2535 play in helping children in India develop problem-solving skills?
9.How can families in India create number-rich environments to improve Factors of 2535 skills?
Important Glossaries for Factors of 2535
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 2535 are 1, 3, 5, 15, 169, 507, 845, and 2535.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 13 are prime factors of 2535.
- 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 2535 are (1, 2535), (3, 845), etc.
- Multiplication method: A method to find factors by identifying pairs of numbers that multiply to give the original number.
- Division method: A method to find factors by dividing the original number by whole numbers to find which divisions leave no remainder.
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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
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