Prime Factorization of 54

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 54?

Answer: Prime Factors of 54: 2, 3, 3, 3

or

2 × 33

Explanation of number 54 Prime Factorization

Prime Factorization of 54 it is expressing 54 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 54.

Since number 54 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 54, we have to iteratively divide 54 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 54:

The smallest Prime Number which can divide 54 without a remainder is 2. So the first calculation step would look like:

54 ÷ 2 = 27

Now we repeat this action until the result equals 1:

27 ÷ 3 = 9

9 ÷ 3 = 3

3 ÷ 3 = 1

Now we have all the Prime Factors for number 54. It is: 2, 3, 3, 3

Or you may also write it in exponential form: 2 × 33

Prime Factor Tree of 54

We may also express the prime factorization of 54 as a Factor Tree:

Related Calculations

See Also

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 54? (The answer is: 2, 3, 3, 3). Pick the number for factorization (e.g. '54'). 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
393, 13
4023 × 5
4141
422, 3, 7
4343
4422 × 11
4532 × 5
462, 23
4747
4824 × 3
4972
502 × 52
513, 17
5222 × 13
5353
542 × 33
555, 11
5623 × 7
573, 19
582, 29
5959
6022 × 3 × 5
6161
622, 31
6332 × 7
6426
655, 13
662, 3, 11
6767
6822 × 17

FAQ

What is the Prime Factorization of 54?

Prime Factors of 54: 2, 3, 3, 3

How many prime factors does 54 have?

Number 54 has 4 Prime Factors

What is the Prime Factorization of 54 in exponential form?

The Prime Factorization of the number 54 in the exponential form is: 2 × 33

See Also