What are the factors of 18? The factors of 18 are 1, 2, 3, 6, 9, 18 and the distinct factors of 18 are also 1, 2, 3, 6, 9, 18, because the factors of 18 and distinct factors of 18 are similar. Factors of 18 are 1, 2, 3, 6, 9, 18. Negative factors of 18 are just the factors with negative sign.
The numbers which give the original number 18 when multiplied together in pairs are known as the factors of 18. Actually, these are the numbers which completely divide the original number. By the multiplication method we can calculate the factors of 24, 12, 45, 8, 9 etc. These are known as the multiplication factors. 18 have prime factors and it is the composite number. With the help of division methods we fill find the prime factorization of 18.
Prime Factorization of 18
The number 18 is actually a composite number. Here we find the prime factors of it.

The first step of finding the prime factor is to divide the number 18 with the smallest prime factor 2.
18÷2 = 9

Now we will examine whether 9 can be further divided by 2 or not.
9÷2 = 4.5
The value comes in fraction. However, the factors should be a whole number. That’s why we will move to the next prime number 3. 
Now, divide 9 by 3.
9÷3 = 3

Again divide 3 by 3
3÷ 3 = 1
We cannot proceed with the division method further because we have received 1 at the end. So, 2 × 3 × 3 are the prime factors of 18 we can also write them as 2 × 3 where 3 and 2 both are prime numbers.
What is the greatest common factor of 18?
By comparing the prime factorization of the two numbers and taking the highest common prime factor the greatest common factor of two numbers can be determined. The gcf is 1 if there is no common factor. This is also referred to as a greatest common factor and is part of the common prime factors of two numbers. It is the greatest factor the two numbers share as a prime factor. Of any pair of integers the least common factor is 1.
How to calculate the factors of 18?
The numbers that can divide 18 without remainder are the factors. Every number is divisible by 1 and itself.
Calculating factors of 18
18/1 = 18 gives remainder 0 and so are divisible by 1
18/2 = 9 gives remainder 0 and so are divisible by 2
18/3 = 6 gives remainder 0 and so are divisible by 3
18/6 = 3 gives remainder 0 and so are divisible by 6
18/9 = 2 gives remainder 0 and so are divisible by 9
18/18 = 1 gives remainder 0 and so are divisible by 18
Other Integer Numbers that divides with remainder are 4, 5, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17. As they divides with remainder so cannot be factors of 18. Only integers and whole numbers can be converted to factors.
Factors of 18 that add up to numbers
Factors of 18 that add up to 39 =1 + 2 + 3 + 6 + 9 + 18
Factors of 18 that add up to 3 = 1 + 2
Factors of 18 that add up to 6 = 1 + 2 + 3
Factors of 18 that add up to 12 = 1 + 2 + 3 + 6
Factor of 18 in pairs
1 x 18, 2 x 9, 3 x 6, 6 x 3, 9 x 2, 18 x 1
1 and 18 are a factor pair of 18 since 1 x 18= 18
2 and 9 are a factor pair of 18 since 2 x 9= 18
3 and 6 are a factor pair of 18 since 3 x 6= 18
6 and 3 are a factor pair of 18 since 6 x 3= 18
9 and 2 are a factor pair of 18 since 9 x 2= 18
18 and 1 are a factor pair of 18 since 18 x 1= 18
By finding the numbers that can divide 18without remainder we get the factors of 18 or alternatively numbers that can multiply together to equal the target number being converted.
In considering numbers than can divide 18 without remainders. So we start with 1, then check 2, 3,4,5,6,7,8,9, etc and 18.
We can get factors by dividing 18 with numbers smallest to it in value to find the one that will not leave remainder. Factors are the numbers that divide without remainders.
Whole numbers or integers are the factors that are multiplied together to produce a given number. The whole numbers or integers multiplied are factors of the given number. If x multiplied by y = z then x and y are factors of z.
If for example we want to evaluate the factors of 20. We will have to evaluate combination of numbers that when it is multiplied together will give 20. Example here is 4 and 5 because when we multiplied them, it will give us 20. So the factors of the given number 20 are 4 and 5. Also 2 and 10, 1 and 20 are factors of 20 because 2 x 10 = 20 and 1 x 20 = 20. So, 1, 2, 4, 5, 10, 20 are the factors of the given number 20.
Using this tool to calculate the factors, we will enter positive integers, because to calculate factors of a number the calculator will only allow positive values. We enter the positive value if we need to calculate negative numbers, get the factors and we duplicate the answer ourselves with all the given positive factors as negatives like as 4 and 5 as factors of number 20. On the other hand this calculator will give us both positive factors and negative integers for numbers. For example 2 , 3,4 etc.
Factors are like division in mathematics, because they gives all numbers that divide evenly into a number with no remainder. Example is number 8. It is evenly divisible by 4 and 2, which means that both 4 and 2 are factors of number 8.
Multiples of 18
Multiples of 18 are all the numbers which can be divided by 18. These multiples leave no remainder and quotient when divided by 18 and these are natural number.
As factors sometimes multiples are misunderstood, which is not right. The numbers which give the original number 18 when multiplied together in pairs are known as the factors of 18.
Whereas multiples are all the numbers which could be written in the form of np, where n is the series of natural number and p is the number of which we need multiples.
We get the whole number when we divide the multiples of a number by the original number, Let us see some examples:
54÷18 = 3
126÷18 = 7
180 ÷ 18 = 10

List of the multiples of 18 are

18,36,54,72,90,108,126,144,162,180,198,216,234,252,270,….
Multiple of 18 is any number that can be denoted in the form of 18n where n is any number.
For instance 36, 60, 180, and 10 are the multiples of 18 for the following reasons.
18  =  18  ×  1 

36  =  18  ×  2 
180  =  18  ×  10 
72  =  18  ×  4 
These values are obtained by subtracting or adding the original value many times so these values are called multiples.
Multiples of 18 Chart
Multiplication:  Multiples of 18: 

18 x 1  18 
18 x 2  36 
18 x 3  54 
18 x 4  72 
18 x 5  90 
18 x 6  108 
18 x 7  126 
18 x 8  144 
18 x 9  162 
18 x 10  180 
18 x 11  198 
18 x 12  216 
18 x 13  234 
18 x 14  252 
18 x 15  270 
18 x 16  288 
18 x 17  306 
18 x 18  324 
18 x 19  342 
18 x 20  360 
How to find the multiple of 18?
We need to multiply 18 by required number to find the multiple of 18. Suppose we have to find the third multiple of 18, then;
18 x 3 = 54
Likewise, we can find the other multiples also. Here are some examples which you can practice.
Find the fifth multiple of 18
Find the 10th multiple of 18
Find the 25th multiple of 18
What is a factor tree?
A diagram that is used to determine the prime factors of a natural number greater than one is known as a factor tree.
Example
The number 20 can be written as 4× 5. 4 then can be written as 2 × 2. In different ways the number 20 can be factored.
Frequently Asked Questions
Here are some frequently asked questions regarding factors of 18.
Q1. What are the common factors of 24 and 18?
The greatest factor that divides both numbers is known as the greatest common factor. First list the prime factors of each number to find the greatest common factor. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
Q2. What are the common factors of 12 18 and 24?
For 12, 18, and 24 the common factors are following:
Factors for 12: 1, 2, 3, 4, 6, and 12.
Factors for 18: 1, 2, 3, 6, 9, and 18.
Factors for 24: 1, 2, 3, 4, 6, 8, 12, and 24.
It’s also commonly known as:
Greatest Common Denominator (GCD)
Highest Common Factor (HCF)
Greatest Common Divisor (GCD)
Q3. What are the six factors of 18?
The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.
Q4. What is the factor of 23?
The factors of 23 are 1 and 23. 23 has only two factors because it is a prime number. Factor pairs of the number 23 are the natural numbers but not a fraction or decimal number.
Q5. What is the highest common factor of 15 and 20?
The biggest common factor number is the GCF number. So the greatest common factor of 15 and 20 is 5.
Q6. What are factors of 120?
All factors of 120 include 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, and 120.
Q7. What are factors of 25?
Factors Of 25
Factors of 25: 1, 5, and 25.
Prime factorisation of 25: 52
Q8. What are the factors of 19?
The 19 is a prime number because only factors of 19 are 1 and 19. That is, 19 is divisible by only 1 and 19, so it is prime.
Q9. How many factors does 18 have?
Number 18 has 6 factors: 1, 2, 3, 6, 9, 18. More particularly shown as pairs…
(18) (29) (36) (63) (92) (181).
Conclusion
What are the factors of 18? The factors of 18 are 1, 2, 3, 6, 9, 18. The numbers which give the original number 18 when multiplied together in pairs are known as the factors of 18. 2 × 3 × 3 are the prime factors of 18. Number 18 has 6 factors which can be shown as pair. The greatest common factor of the 18 is 1. By finding the numbers that can divide 18without remainder we get the factors of 18. The whole numbers or integers multiplied are factors of the given number. Multiples of 18 are all the numbers which can be divided by 18.
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