Prime Factorization of 339

What is the Prime Factorization of 339?

Answer: Prime Factors of 339: 3, 113

Explanation of number 339 Prime Factorization

Prime Factorization of 339 it is expressing 339 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 339.

Since number 339 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 339, we have to iteratively divide 339 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 339:

The smallest Prime Number which can divide 339 without a remainder is 3. So the first calculation step would look like:

339 ÷ 3 = 113

Now we repeat this action until the result equals 1:

113 ÷ 113 = 1

Now we have all the Prime Factors for number 339. It is: 3, 113

Prime Factor Tree of 339

We may also express the prime factorization of 339 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 339? (The answer is: 3, 113). Pick the number for factorization (e.g. '339'). 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
22 × 34
52 × 13
2, 163
3, 109
23 × 41
7, 47
2, 3, 5, 11
331
22 × 83
32 × 37
2, 167
5, 67
24 × 3 × 7
337
2 × 132
3, 113
22 × 5 × 17
11, 31
2 × 32 × 19
73
23 × 43
3, 5, 23
2, 173
347
22 × 3 × 29
349
2 × 52 × 7
33 × 13
25 × 11
353

FAQ

What is the Prime Factorization of 339?

Prime Factors of 339: 3, 113

How many prime factors does 339 have?

Number 339 has 2 Prime Factors