Prime Factorization of 540

What is the Prime Factorization of 540?

Answer: Prime Factors of 540: 2, 2, 3, 3, 3, 5

or

22 × 33 × 5

Explanation of number 540 Prime Factorization

Prime Factorization of 540 it is expressing 540 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 540.

Since number 540 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 540, we have to iteratively divide 540 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 540:

The smallest Prime Number which can divide 540 without a remainder is 2. So the first calculation step would look like:

540 ÷ 2 = 270

Now we repeat this action until the result equals 1:

270 ÷ 2 = 135

135 ÷ 3 = 45

45 ÷ 3 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1

Now we have all the Prime Factors for number 540. It is: 2, 2, 3, 3, 3, 5

Or you may also write it in exponential form: 22 × 33 × 5

Prime Factor Tree of 540

We may also express the prime factorization of 540 as a Factor Tree:

Prime factors of 540 factorization tree of 540

Prime Factorization Table

NumberPrime Factors
3 × 52 × 7
2, 263
17, 31
24 × 3 × 11
232
2, 5, 53
32 × 59
22 × 7 × 19
53313, 41
5342, 3, 89
5, 107
23 × 67
3, 179
5382, 269
72 × 11
22 × 33 × 5
541
2, 271
3, 181
25 × 17
5, 109
2, 3, 7, 13
547
22 × 137
54932 × 61
2 × 52 × 11
19, 29
23 × 3 × 23
7, 79
5542, 277

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 540? (The answer is: 2, 2, 3, 3, 3, 5). Pick the number for factorization (e.g. '540'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

FAQ

What is the Prime Factorization of 540?

Prime Factors of 540: 2, 2, 3, 3, 3, 5

How many prime factors does 540 have?

Number 540 has 6 Prime Factors

What is the Prime Factorization of 540 in exponential form?

The Prime Factorization of the number 540 in the exponential form is: 22 × 33 × 5