Prime Factorization of 684

What is the Prime Factorization of 684?

Answer: Prime Factors of 684: 2, 2, 3, 3, 19

or

22 × 32 × 19

Explanation of number 684 Prime Factorization

Prime Factorization of 684 it is expressing 684 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 684.

Since number 684 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 684, we have to iteratively divide 684 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 684:

The smallest Prime Number which can divide 684 without a remainder is 2. So the first calculation step would look like:

684 ÷ 2 = 342

Now we repeat this action until the result equals 1:

342 ÷ 2 = 171

171 ÷ 3 = 57

57 ÷ 3 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 684. It is: 2, 2, 3, 3, 19

Or you may also write it in exponential form: 22 × 32 × 19

Prime Factor Tree of 684

We may also express the prime factorization of 684 as a Factor Tree:

Prime factors of 684 factorization tree of 684

Related Calculations

Prime Factorization Table

NumberPrime Factors
6693, 223
2, 5, 67
67111, 61
25 × 3 × 7
673
2, 337
33 × 52
22 × 132
677
2, 3, 113
6797, 97
23 × 5 × 17
3, 227
6822, 11, 31
683
22 × 32 × 19
6855, 137
2 × 73
6873, 229
24 × 43
13, 53
2, 3, 5, 23
691691
69222 × 173
32 × 7 × 11
6942, 347
6955, 139
69623 × 3 × 29
17, 41
6982, 349

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 684? (The answer is: 2, 2, 3, 3, 19). Pick the number for factorization (e.g. '684'). 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 684?

Prime Factors of 684: 2, 2, 3, 3, 19

How many prime factors does 684 have?

Number 684 has 5 Prime Factors

What is the Prime Factorization of 684 in exponential form?

The Prime Factorization of the number 684 in the exponential form is: 22 × 32 × 19