121 LearnersLast updated on May 26th, 2025
Factors of 618
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 618, how they are used in real life, and the tips to learn them quickly.
What are the Factors of 618?
The numbers that divide 618 evenly are known as factors of 618.
A factor of 618 is a number that divides the number without remainder.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, and 618.
Negative factors of 618: -1, -2, -3, -6, -103, -206, -309, and -618.
Prime factors of 618: 2, 3, and 103.
Prime factorization of 618: 2 × 3 × 103.
The sum of factors of 618: 1 + 2 + 3 + 6 + 103 + 206 + 309 + 618 = 1248
How to Find Factors of 618?
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 618. Identifying the numbers which are multiplied to get the number 618 is the multiplication method.
Step 1: Multiply 618 by 1, 618 × 1 = 618.
Step 2: Check for other numbers that give 618 after multiplying
2 × 309 = 618
3 × 206 = 618
6 × 103 = 618
Therefore, the positive factor pairs of 618 are: (1, 618), (2, 309), (3, 206), (6, 103). All these factor pairs result in 618. 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 in whole numbers as factors. Factors can be calculated by following a simple division method -
Step 1: Divide 618 by 1, 618 ÷ 1 = 618.
Step 2: Continue dividing 618 by the numbers until the remainder becomes 0.
618 ÷ 1 = 618
618 ÷ 2 = 309
618 ÷ 3 = 206
618 ÷ 6 = 103
Therefore, the factors of 618 are: 1, 2, 3, 6, 103, 206, 309, 618.
Prime Factors and Prime Factorization
The factors can be found by dividing it with a prime number. 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 618 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
618 ÷ 2 = 309
309 ÷ 3 = 103
103 ÷ 103 = 1
The prime factors of 618 are 2, 3, and 103.
The prime factorization of 618 is: 2 × 3 × 103.
Factor Tree
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 618 is divided by 2 to get 309.
Step 2: Now divide 309 by 3 to get 103.
Step 3: 103 is a prime number, so it cannot be divided further.
So, the prime factorization of 618 is: 2 × 3 × 103.
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 618: (1, 618), (2, 309), (3, 206), and (6, 103).
Negative factor pairs of 618: (-1, -618), (-2, -309), (-3, -206), and (-6, -103).
Common Mistakes and How to Avoid Them in Factors of 618
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 factors for every number. Always remember to include 1 and the number itself.
For example, in factors of 618, 1 and 618 are also factors.
Mistake 2
Missing Negative Factors
We have used only to mention positive factors every time. There are also negative factors, always check whether you have mentioned negative factors.
For example, the factors of 618 include -1, -2, -3, etc.
Mistake 3
Including the Fraction
Children might sometimes add fractions also as a factor. Only whole numbers can be a factor.
For example, thinking 1.5 as a factor, because 618/1.5 = 412, and it is not a whole number.
Mistake 4
Confusing Factors With Prime Numbers
Remember that factors can be any whole numbers, not only just primes.
For example, thinking all the factors of 618 are prime numbers. For example, 2 and 3 are the prime factors of 618, but it has other factors like 206, 309.
Mistake 5
Mistake in Factorization
Children might skip the steps in factorization and end up writing wrong factors.
For example, not breaking 618 as 2 × 3 × 103 and missing all the key factors.
Factors of 618 Examples
Problem 1
There are 6 groups and 618 pieces of candy. How will they divide it equally?
They will get 103 candies each.
Explanation
To divide the candies equally, we need to divide the total candies with the number of groups.
618/6 = 103
Problem 2
A rectangular plot has a length of 103 meters and the total area is 618 square meters. Find the width?
6 meters.
Explanation
To find the width of the plot, we use the formula,
Area = length × width
618 = 103 × width
To find the value of width, we need to shift 103 to the left side.
618/103 = width
Width = 6.
Problem 3
There are 206 students and 618 pencils. How many pencils will each student get?
Each student will get 3 pencils.
Explanation
To find the pencils each student will get, divide the total pencils by the number of students.
618/206 = 3
Problem 4
In a library, there are 309 books and 3 shelves. How many books are there on each shelf?
There are 103 books on each shelf.
Explanation
Dividing the books with the total shelves, we will get the number of books on each shelf.
618/3 = 206
Problem 5
618 pages need to be split across 2 sections of a book. How many pages will go in each section?
Each section will have 309 pages.
Explanation
Divide total pages by sections.
618/2 = 309
FAQs on Factors of 618
1.What are the factors of 618?
2.Mention the prime factors of 618.
3.Is 618 a multiple of 6?
4.Mention the factor pairs of 618?
5.What is the square of 618?
Important Glossaries for Factor of 618
- Factors: The numbers that divide the given number without leaving a remainder are called factors. For example, the factors of 618 are 1, 2, 3, 6, 103, 206, 309, and 618.
- Prime factors: The factors which are prime numbers. For example, 2, 3, and 103 are prime factors of 618.
- 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 618 are (1, 618), (2, 309), etc.
- Prime factorization: The process of expressing a number as the product of its prime factors. For example, the prime factorization of 618 is 2 × 3 × 103.
- Multiplication method: A method to find factor pairs by identifying numbers that multiply to give the original number. For example, using this method, (6, 103) is a factor pair of 618.
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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.
