Prime Factorization of 27

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Prime Factors of

What is the Prime Factorization of 27?

Answer: Prime Factors of 27: 3, 3, 3

or

33

Explanation of number 27 Prime Factorization

Prime Factorization of 27 it is expressing 27 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 27.

Since number 27 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 27, we have to iteratively divide 27 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 27:

The smallest Prime Number which can divide 27 without a remainder is 3. So the first calculation step would look like:

27 ÷ 3 = 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 27. It is: 3, 3, 3

Or you may also write it in exponential form: 33

Prime Factor Tree of 27

We may also express the prime factorization of 27 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 27? (The answer is: 3, 3, 3). Pick the number for factorization (e.g. '27'). 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
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
333, 11
342, 17
355, 7
3622 × 32
3737
382, 19
393, 13
4023 × 5
4141

FAQ

What is the Prime Factorization of 27?

Prime Factors of 27: 3, 3, 3

How many prime factors does 27 have?

Number 27 has 3 Prime Factors

What is the Prime Factorization of 27 in exponential form?

The Prime Factorization of the number 27 in the exponential form is: 33

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