Prime Factorization of 639

What is the Prime Factorization of 639?

Answer: Prime Factors of 639: 3, 3, 71

or

32 × 71

Explanation of number 639 Prime Factorization

Prime Factorization of 639 it is expressing 639 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 639.

Since number 639 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 639, we have to iteratively divide 639 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 639:

The smallest Prime Number which can divide 639 without a remainder is 3. So the first calculation step would look like:

639 ÷ 3 = 213

Now we repeat this action until the result equals 1:

213 ÷ 3 = 71

71 ÷ 71 = 1

Now we have all the Prime Factors for number 639. It is: 3, 3, 71

Or you may also write it in exponential form: 32 × 71

Prime Factor Tree of 639

We may also express the prime factorization of 639 as a Factor Tree:

See Also

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 639? (The answer is: 3, 3, 71). Pick the number for factorization (e.g. '639'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

Prime Factorization Table

NumberPrime Factors
24 × 3 × 13
54
2, 313
3, 11, 19
62822 × 157
17, 37
2 × 32 × 5 × 7
631
23 × 79
6333, 211
6342, 317
6355, 127
22 × 3 × 53
72 × 13
2, 11, 29
32 × 71
27 × 5
641
2, 3, 107
643
64422 × 7 × 23
3, 5, 43
6462, 17, 19
647
23 × 34
11, 59
2 × 52 × 13
6513, 7, 31
65222 × 163
653

FAQ

What is the Prime Factorization of 639?

Prime Factors of 639: 3, 3, 71

How many prime factors does 639 have?

Number 639 has 3 Prime Factors

What is the Prime Factorization of 639 in exponential form?

The Prime Factorization of the number 639 in the exponential form is: 32 × 71