100 LearnersLast updated on May 26th, 2025
Factors of 607
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 607, how they are used in real life, and tips to learn them quickly.
What are the Factors of 607?
The numbers that divide 607 evenly are known as factors of 607.
A factor of 607 is a number that divides the number without remainder.
The factors of 607 are 1 and 607.
Negative factors of 607: -1 and -607.
Prime factors of 607: 607.
Since 607 is a prime number, its only prime factor is itself.
The sum of factors of 607: 1 + 607 = 608
How to Find Factors of 607?
Factors can be found using different methods. Mentioned below are some commonly used methods:
- Finding factors using multiplication
- Finding factors using the 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 607.
Since 607 is a prime number, the only multiplication pair is 1 × 607.
Therefore, the positive factor pairs of 607 are: (1, 607).
For every positive factor, there is a negative factor.
Finding Factors Using Division Method
Dividing the given numbers 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 607 by 1, 607 ÷ 1 = 607.
Step 2: Continue dividing 607 by other numbers until the remainder becomes 0.
Since 607 is a prime number, other divisions will not yield whole numbers.
Therefore, the factors of 607 are: 1 and 607.
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 607 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
Since 607 is a prime number, it cannot be broken down further.
The prime factorization of 607 is: 607.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors.
However, since 607 is a prime number, it cannot be factored further using a factor tree. So, the prime factorization of 607 is: 607.
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 607: (1, 607).
Negative factor pairs of 607: (-1, -607).
Common Mistakes and How to Avoid Them in Factors of 607
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 607, 1 and 607 are also factors.
Factors of 607 Examples
Problem 1
A classroom has 607 chairs and 1 row. How will they arrange the chairs?
They will have 607 chairs in one row.
Explanation
To arrange the chairs equally, we need to divide the total chairs by the number of rows.
607/1 = 607
Problem 2
A narrow path is 607 meters long and is to be divided into 1-meter sections. How many sections will there be?
There will be 607 sections.
Explanation
To find the number of sections, we divide the total length by the section length.
607/1 = 607
Problem 3
A company has 607 employees and 1 building. How many employees will work in the building?
All 607 employees will work in the building.
Explanation
To find the number of employees per building, divide the total employees by the number of buildings.
607/1 = 607
Problem 4
607 books need to be stored in 1 library. How many books will go into the library?
All 607 books will go into the library.
Explanation
Divide the total books by the number of libraries.
607/1 = 607
Problem 5
A designer has 607 tiles and 1 design. How many tiles will be used in the design?
All 607 tiles will be used in the design.
Explanation
To determine the number of tiles per design, divide the total tiles by the number of designs.
607/1 = 607
FAQs on Factors of 607
1.What are the factors of 607?
2.Mention the prime factors of 607.
3.Is 607 a multiple of 2?
4.Mention the factor pairs of 607?
5.What is the square of 607?
Important Glossaries for Factors of 607
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 607 are 1 and 607.
- Prime factors: The factors which are prime numbers. For example, 607 is the only prime factor of itself.
- 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 607 are (1, 607).
- Prime number: A number that has no other divisors other than 1 and itself. For example, 607 is a prime number.
- Multiples: The result of multiplying a number by an integer. For example, 607 is not a multiple of 2.
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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.
