107 LearnersLast updated on May 26th, 2025
Factors of 655
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 655, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 655?
The numbers that divide 655 evenly are known as factors of 655. A factor of 655 is a number that divides the number without remainder. The factors of 655 are 1, 5, 131, and 655.
Negative factors of 655: -1, -5, -131, and -655.
Prime factors of 655: 5 and 131.
Prime factorization of 655: 5 × 131.
The sum of factors of 655: 1 + 5 + 131 + 655 = 792
How to Find Factors of 655?
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 655. Identifying the numbers which are multiplied to get the number 655 is the multiplication method.
Step 1: Multiply 655 by 1, 655 × 1 = 655.
Step 2: Check for other numbers that give 655 after multiplying 5 × 131 = 655
Therefore, the positive factor pairs of 655 are: (1, 655) and (5, 131). All these factor pairs result in 655. 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 655 by 1, 655 ÷ 1 = 655.
Step 2: Continue dividing 655 by the numbers until the remainder becomes 0.
655 ÷ 1 = 655
655 ÷ 5 = 131
Therefore, the factors of 655 are: 1, 5, 131, 655.
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 655 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
655 ÷ 5 = 131
131 ÷ 131 = 1
The prime factors of 655 are 5 and 131. The prime factorization of 655 is: 5 × 131.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 655 is divided by 5 to get 131.
Step 2: 131 is a prime number and cannot be divided further except by itself. So, the prime factorization of 655 is: 5 × 131.
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 655: (1, 655) and (5, 131).
- Negative factor pairs of 655: (-1, -655) and (-5, -131).
Common Mistakes and How to Avoid Them in Factors of 655
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 655, 1 and 655 are also factors.
Factors of 655 Examples
Problem 1
There are 5 teams and 655 points to distribute. How will they distribute it equally?
They will get 131 points each.
Explanation
To distribute the points equally, we need to divide the total points by the number of teams.
655/5 = 131
Problem 2
A rectangular garden has a length of 131 meters and a total area of 655 square meters. Find the width.
5 meters.
Explanation
To find the width of the garden, we use the formula,
Area = length × width
655 = 131 × width
To find the value of width, we need to shift 131 to the left side.
655/131 = width
Width = 5.
Problem 3
There are 1,310 students and 655 buses. How many students will be in each bus if they distribute evenly?
Each bus will have 2 students.
Explanation
To find the students in each bus, divide the total students by the buses.
1310/655 = 2
Problem 4
In a competition, there are 655 participants, and each team has 1 participant. How many teams are there?
There are 655 teams.
Explanation
Dividing the participants by the total teams, we will get the number of participants in each team.
655/1 = 655
Problem 5
655 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 131 books.
Explanation
Divide total books by shelves.
655/5 = 131
FAQs on Factors of 655
1.What are the factors of 655?
2.Mention the prime factors of 655.
3.Is 655 a multiple of 5?
4.Mention the factor pairs of 655.
5.What is the square of 655?
Important Glossaries for Factors of 655
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 655 are 1, 5, 131, and 655.
- Prime factors: The factors which are prime numbers. For example, 5 and 131 are prime factors of 655.
- 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 655 are (1, 655), (5, 131).
- Prime factorization: The expression of a number as the product of its prime factors. For example, the prime factorization of 655 is 5 × 131.
- Division method: A method to find factors by dividing the given number by whole numbers until the remainder is zero.
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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.
