Prime Factorization of 690

What is the Prime Factorization of 690?

Answer: Prime Factors of 690: 2, 3, 5, 23

Explanation of number 690 Prime Factorization

Prime Factorization of 690 it is expressing 690 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 690.

Since number 690 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 690, we have to iteratively divide 690 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 690:

The smallest Prime Number which can divide 690 without a remainder is 2. So the first calculation step would look like:

690 ÷ 2 = 345

Now we repeat this action until the result equals 1:

345 ÷ 3 = 115

115 ÷ 5 = 23

23 ÷ 23 = 1

Now we have all the Prime Factors for number 690. It is: 2, 3, 5, 23

Prime Factor Tree of 690

We may also express the prime factorization of 690 as a Factor Tree:

Prime factors of 690 factorization tree of 690

Related Calculations

Prime Factorization Table

NumberPrime Factors
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
6993, 233
22 × 52 × 7
701
2 × 33 × 13
19, 37
26 × 11

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 690? (The answer is: 2, 3, 5, 23). Pick the number for factorization (e.g. '690'). 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 690?

Prime Factors of 690: 2, 3, 5, 23

How many prime factors does 690 have?

Number 690 has 4 Prime Factors