Prime Factorization of 588

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Prime Factors of

What is the Prime Factorization of 588?

Answer: Prime Factors of 588: 2, 2, 3, 7, 7

or

22 × 3 × 72

Explanation of number 588 Prime Factorization

Prime Factorization of 588 it is expressing 588 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 588.

Since number 588 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 588, we have to iteratively divide 588 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 588:

The smallest Prime Number which can divide 588 without a remainder is 2. So the first calculation step would look like:

588 ÷ 2 = 294

Now we repeat this action until the result equals 1:

294 ÷ 2 = 147

147 ÷ 3 = 49

49 ÷ 7 = 7

7 ÷ 7 = 1

Now we have all the Prime Factors for number 588. It is: 2, 2, 3, 7, 7

Or you may also write it in exponential form: 22 × 3 × 72

Prime Factor Tree of 588

We may also express the prime factorization of 588 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 588? (The answer is: 2, 2, 3, 7, 7). Pick the number for factorization (e.g. '588'). 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
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
60023 × 3 × 52
601601
6022, 7, 43

FAQ

What is the Prime Factorization of 588?

Prime Factors of 588: 2, 2, 3, 7, 7

How many prime factors does 588 have?

Number 588 has 5 Prime Factors

What is the Prime Factorization of 588 in exponential form?

The Prime Factorization of the number 588 in the exponential form is: 22 × 3 × 72

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