Prime Factorization of 18

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Prime Factors of

What is the Prime Factorization of 18?

Answer

Prime Factors of 18: 2, 3, 3

or

2 × 32

Explanation of number 18 Prime Factorization

Prime Factorization of 18 is expressing 18 as the product of prime factors. In other words, it is finding which prime numbers should be multiplied together to make 18.

Since number 18 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 18, we have to iteratively divide 18 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 18:

The smallest Prime Number which can divide 18 without a remainder is 2. So the first calculation step would look like:

18 ÷ 2 = 9

Now we repeat this action until the result equals 1:

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 18. It is: 2, 3, 3

Or you may also write it in exponential form: 2 × 32

Prime Factor Tree of 18

We may also express the prime factorization of 18 as a Factor Tree:

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About "Prime Factorization" Calculator

This calculator will perform a Prime Factorization of any given number and will show all its Prime Factors. For example, it can help you find out what is the Prime Factorization of 18? (The answer is: 2, 3, 3). Pick the number for factorization (e.g. '18'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
33
422
55
62, 3
77
823
932
102, 5
1111
1222 × 3
1313
142, 7
153, 5
1624
1717
182 × 32
1919
2022 × 5
213, 7
222, 11
2323
2423 × 3
2552
262, 13
2733
2822 × 7
2929
302, 3, 5
3131
3225

FAQ

What is the Prime Factorization of 18?

Prime Factors of 18: 2, 3, 3

How many prime factors does 18 have?

Number 18 has 3 Prime Factors

What is the Prime Factorization of 18 in exponential form?

The Prime Factorization of the number 18 in the exponential form is: 2 × 32

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