113 LearnersLast updated on May 26th, 2025
Factors of 915
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 915, how they are used in real life, and tips to learn them quickly.
What are the Factors of 915?
The numbers that divide 915 evenly are known as factors of 915. A factor of 915 is a number that divides the number without remainder. The factors of 915 are 1, 3, 5, 15, 61, 183, 305, and 915.
Negative factors of 915: -1, -3, -5, -15, -61, -183, -305, and -915.
Prime factors of 915: 3, 5, and 61.
Prime factorization of 915: 3 × 5 × 61.
The sum of factors of 915: 1 + 3 + 5 + 15 + 61 + 183 + 305 + 915 = 1488
How to Find Factors of 915?
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 915. Identifying the numbers that are multiplied to get the number 915 is the multiplication method.
Step 1: Multiply 915 by 1, 915 × 1 = 915.
Step 2: Check for other numbers that give 915 after multiplying
3 × 305 = 915
5 × 183 = 915
15 × 61 = 915
Therefore, the positive factor pairs of 915 are: (1, 915), (3, 305), (5, 183), and (15, 61). All these factor pairs result in 915. 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 915 by 1, 915 ÷ 1 = 915.
Step 2: Continue dividing 915 by the numbers until the remainder becomes 0.
915 ÷ 1 = 915
915 ÷ 3 = 305
915 ÷ 5 = 183
915 ÷ 15 = 61
Therefore, the factors of 915 are: 1, 3, 5, 15, 61, 183, 305, 915.
Prime Factors and Prime Factorization
The factors can be found by dividing them 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 915 divide the number to break it down into the multiplication form of prime factors until the remainder becomes 1.
915 ÷ 3 = 305
305 ÷ 5 = 61
61 ÷ 61 = 1
The prime factors of 915 are 3, 5, and 61. The prime factorization of 915 is: 3 × 5 × 61.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 915 is divided by 3 to get 305.
Step 2: Now divide 305 by 5 to get 61. Step 3: 61 is a prime number and cannot be divided anymore. So, the prime factorization of 915 is: 3 × 5 × 61.
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 915: (1, 915), (3, 305), (5, 183), and (15, 61).
- Negative factor pairs of 915: (-1, -915), (-3, -305), (-5, -183), and (-15, -61).
Common Mistakes and How to Avoid Them in Factors of 915
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 915, 1 and 915 is also a factor.
Factors of 915 Examples
Problem 1
There are 15 friends and 915 candies. How will they divide it equally?
They will get 61 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of friends.
915 ÷ 15 = 61
Problem 2
A rectangular parking lot has a length of 61 meters and the total area is 915 square meters. Find the width?
15 meters.
Explanation
To find the width of the parking lot, we use the formula,
Area = length × width
915 = 61 × width
To find the value of width, we need to shift 61 to the left side.
915 ÷ 61 = width
Width = 15.
Problem 3
There are 305 chairs and 915 students. How many students will sit on each chair if each chair seats 3 students?
Each chair will seat 3 students.
Explanation
To find the number of students seated per chair, divide the total students by the total chairs.
915 ÷ 305 = 3
Problem 4
A school has 915 students and is divided into 5 classes. How many students are there in each class?
There are 183 students in each class.
Explanation
Dividing the students with the total classes, we will get the number of students in each class.
915 ÷ 5 = 183
Problem 5
915 books need to be arranged in 3 shelves. How many books will go on each shelf?
Each of the shelves has 305 books.
Explanation
Divide total books with shelves.
915 ÷ 3 = 305
FAQs on Factors of 915
1.What are the factors of 915?
2.Mention the prime factors of 915.
3.Is 915 a multiple of 15?
4.Mention the factor pairs of 915?
5.What is the square of 915?
Important Glossaries for Factors of 915
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 915 are 1, 3, 5, 15, 61, 183, 305, and 915.
- Prime factors: The factors which are prime numbers. For example, 3, 5, and 61 are prime factors of 915.
- 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 915 are (1, 915), (3, 305), etc.
- Prime factorization: Breaking down a number into its prime factors. For example, the prime factorization of 915 is 3 × 5 × 61.
- Negative factors: Factors that are negative counterparts of positive factors. For example, the negative factors of 915 are -1, -3, -5, -15, -61, -183, -305, and -915.
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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.
