Prime Factorization of 585

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 585?

Answer: Prime Factors of 585: 3, 3, 5, 13

or

32 × 5 × 13

Explanation of number 585 Prime Factorization

Prime Factorization of 585 it is expressing 585 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 585.

Since number 585 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 585, we have to iteratively divide 585 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 585:

The smallest Prime Number which can divide 585 without a remainder is 3. So the first calculation step would look like:

585 ÷ 3 = 195

Now we repeat this action until the result equals 1:

195 ÷ 3 = 65

65 ÷ 5 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 585. It is: 3, 3, 5, 13

Or you may also write it in exponential form: 32 × 5 × 13

Prime Factor Tree of 585

We may also express the prime factorization of 585 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 585? (The answer is: 3, 3, 5, 13). Pick the number for factorization (e.g. '585'). 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
5702, 3, 5, 19
571571
57222 × 11 × 13
5733, 191
5742, 7, 41
57552 × 23
57626 × 32
577577
5782 × 172
5793, 193
58022 × 5 × 29
5817, 83
5822, 3, 97
58311, 53
58423 × 73
58532 × 5 × 13
5862, 293
587587
58822 × 3 × 72
58919, 31
5902, 5, 59
5913, 197
59224 × 37
593593
5942 × 33 × 11
5955, 7, 17
59622 × 149
5973, 199
5982, 13, 23
599599

FAQ

What is the Prime Factorization of 585?

Prime Factors of 585: 3, 3, 5, 13

How many prime factors does 585 have?

Number 585 has 4 Prime Factors

What is the Prime Factorization of 585 in exponential form?

The Prime Factorization of the number 585 in the exponential form is: 32 × 5 × 13

See Also