Prime Factorization of 584

What is the Prime Factorization of 584?

Answer: Prime Factors of 584: 2, 2, 2, 73

or

23 × 73

Explanation of number 584 Prime Factorization

Prime Factorization of 584 it is expressing 584 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 584.

Since number 584 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 584, we have to iteratively divide 584 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 584:

The smallest Prime Number which can divide 584 without a remainder is 2. So the first calculation step would look like:

584 ÷ 2 = 292

Now we repeat this action until the result equals 1:

292 ÷ 2 = 146

146 ÷ 2 = 73

73 ÷ 73 = 1

Now we have all the Prime Factors for number 584. It is: 2, 2, 2, 73

Or you may also write it in exponential form: 23 × 73

Prime Factor Tree of 584

We may also express the prime factorization of 584 as a Factor Tree:

Prime factors of 584 factorization tree of 584

Prime Factorization Table

NumberPrime Factors
569
2, 3, 5, 19
571
22 × 11 × 13
3, 191
5742, 7, 41
52 × 23
26 × 32
577
2 × 172
5793, 193
22 × 5 × 29
5817, 83
2, 3, 97
58311, 53
23 × 73
32 × 5 × 13
5862, 293
587
22 × 3 × 72
19, 31
2, 5, 59
5913, 197
59224 × 37
593
2 × 33 × 11
5, 7, 17
59622 × 149
5973, 199
5982, 13, 23

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 584? (The answer is: 2, 2, 2, 73). Pick the number for factorization (e.g. '584'). 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 584?

Prime Factors of 584: 2, 2, 2, 73

How many prime factors does 584 have?

Number 584 has 4 Prime Factors

What is the Prime Factorization of 584 in exponential form?

The Prime Factorization of the number 584 in the exponential form is: 23 × 73