Prime Factorization of 685

What is the Prime Factorization of 685?

Answer: Prime Factors of 685: 5, 137

Explanation of number 685 Prime Factorization

Prime Factorization of 685 it is expressing 685 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 685.

Since number 685 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 685, we have to iteratively divide 685 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 685:

The smallest Prime Number which can divide 685 without a remainder is 5. So the first calculation step would look like:

685 ÷ 5 = 137

Now we repeat this action until the result equals 1:

137 ÷ 137 = 1

Now we have all the Prime Factors for number 685. It is: 5, 137

Prime Factor Tree of 685

We may also express the prime factorization of 685 as a Factor Tree:

Prime factors of 685 factorization tree of 685

Related Calculations

Prime Factorization Table

NumberPrime Factors
2, 5, 67
67111, 61
25 × 3 × 7
673
2, 337
33 × 52
22 × 132
677
2, 3, 113
7, 97
23 × 5 × 17
3, 227
2, 11, 31
683
22 × 32 × 19
5, 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
2, 349
6993, 233

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 685? (The answer is: 5, 137). Pick the number for factorization (e.g. '685'). 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 685?

Prime Factors of 685: 5, 137

How many prime factors does 685 have?

Number 685 has 2 Prime Factors