What is a prime factor of 18

18 is a composite number. 18 = 1 x 18, 2 x 9, or 3 x 6. Factors of 18: 1, 2, 3, 6, 9, 18. Prime factorization: 18 = 2 x 3 x 3, which can also be written 18 = 2 x 3².

Índice Show

Factors of 18
How to Factorise 18
Factors of 18 in Pairs
Prime factorization of 18
Common factors of 18

When 18 is a clue in the FIND THE FACTORS puzzles, use either 2 x 9 or 3 x 6. Only one set of factors will work for any particular puzzle.

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In mathematics, factors are two whole numbers that can be multiplied to create a product. In the case of this post, the product is 18.

So, what are the factors of 18?

Factors of 18

There are many numbers that you can multiply to make 18. The 6 factors for 18 are:

How to Factorise 18

To find the factors, divide 18 by all whole numbers starting with 1. Stop when the result is smaller than the number you are dividing by. Only results that include whole numbers are factors.

Rules:

Even numbers are always divisible by 2
If a number ends in 0 or 5, it is divisible by 5

Factors of 18 in Pairs

Factor pairs are the two numbers that can be multiplied to make the product, 18. All factor pairs for 18 are as follows:

1 × 18= 18
2 × 9= 18
3 × 6= 18

These positive factors are the most commonly accepted answer; however, there are also negative factors of 18.

The negative factors of 18 are: -1, -2, -3, -6,-9, -18

The negative factor pairs are:

-1 × -18= 18
-2 × -9= 18
-3 ×- 6= 18

Prime factorization of 18

To understand prime factors, you must know about prime numbers. A prime number is a number that is greater than 1 and cannot be divided into smaller numbers. (They can only be divided by 1 and the number itself.)

Prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, etc.

Prime factorization is when a product is broken down into all of its prime factors.

The prime factorization of 18 is:

To get this number, we start with the smallest prime factor that 18 is divisible by: 2.

18 divided by 2 is 9 (9 is not a prime number)
9 divided by 3 is 3 (3 is a prime number)

It can also be written as exponents.

The prime factors of 18 are: 2 x 3 x 3 = 2 × 32 = 18

Common factors of 18

The common factors of two (or more) numbers are the factors that the numbers have in common. For example:

The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 27 are: 1, 3, 9, 27

Their common factors are: 1, 3 and 9

The greatest common factor is the largest of the common factors.

What is the greatest common factor of 18 and 24?

The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The greatest common factor is: 6

What is the greatest common factor of 18 and 12?

The factors of 18 are: 1, 2, 3, 6, 9, 18
The factors of 12 are: 1, 2, 3, 4, 6, 8, 12

The greatest common factor is: 6

FAQ

What are all the factors of 18?

Factors of 18 are: 1, 2, 3, 6, 9, and 18.

What are the factors of 24?

Here we have a collection of all the information you may need about the Prime Factors of 18. We will give you the definition of Prime Factors of 18, show you how to find the Prime Factors of 18 (Prime Factorization of 18) by creating a Prime Factor Tree of 18, tell you how many Prime Factors of 18 there are, and we will show you the Product of Prime Factors of 18.

Prime Factors of 18 definition

First note that prime numbers are all positive integers that can only be evenly divided by 1 and itself. Prime Factors of 18 are all the prime numbers that when multiplied together equal 18.
How to find the Prime Factors of 18 The process of finding the Prime Factors of 18 is called Prime Factorization of 18. To get the Prime Factors of 18, you divide 18 by the smallest prime number possible. Then you take the result from that and divide that by the smallest prime number. Repeat this process until you end up with 1. This Prime Factorization process creates what we call the Prime Factor Tree of 18. See illustration below.

All the prime numbers that are used to divide in the Prime Factor Tree are the Prime Factors of 18. Here is the math to illustrate: 18 ÷ 2 = 99 ÷ 3 = 33 ÷ 3 = 1 Again, all the prime numbers you used to divide above are the Prime Factors of 18. Thus, the Prime Factors of 18 are: 2, 3, 3.
How many Prime Factors of 18? When we count the number of prime numbers above, we find that 18 has a total of 3 Prime Factors.

Product of Prime Factors of 18

The Prime Factors of 18 are unique to 18. When you multiply all the Prime Factors of 18 together it will result in 18. This is called the Product of Prime Factors of 18. The Product of Prime Factors of 18 is: 2 × 3 × 3 = 18

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Prime Factors of 19

We hope this step-by-step tutorial to teach you about Prime Factors of 18 was helpful. Do you want a test? If so, try to find the Prime Factors of the next number on our list and then check your answer here. Copyright | Privacy Policy | Disclaimer | Contact