Prime Factorization of 341

What is the Prime Factorization of 341?

Answer: Prime Factors of 341: 11, 31

Explanation of number 341 Prime Factorization

Prime Factorization of 341 it is expressing 341 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 341.

Since number 341 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 341, we have to iteratively divide 341 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 341:

The smallest Prime Number which can divide 341 without a remainder is 11. So the first calculation step would look like:

341 ÷ 11 = 31

Now we repeat this action until the result equals 1:

31 ÷ 31 = 1

Now we have all the Prime Factors for number 341. It is: 11, 31

Prime Factor Tree of 341

We may also express the prime factorization of 341 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 341? (The answer is: 11, 31). Pick the number for factorization (e.g. '341'). 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
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
2, 3, 59
5, 71

FAQ

What is the Prime Factorization of 341?

Prime Factors of 341: 11, 31

How many prime factors does 341 have?

Number 341 has 2 Prime Factors