Prime Factorization of 355

What is the Prime Factorization of 355?

Answer: Prime Factors of 355: 5, 71

Explanation of number 355 Prime Factorization

Prime Factorization of 355 it is expressing 355 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 355.

Since number 355 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 355, we have to iteratively divide 355 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 355:

The smallest Prime Number which can divide 355 without a remainder is 5. So the first calculation step would look like:

355 ÷ 5 = 71

Now we repeat this action until the result equals 1:

71 ÷ 71 = 1

Now we have all the Prime Factors for number 355. It is: 5, 71

Related Calculations

Prime Factorization Table

NumberPrime Factors
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
3555, 71
22 × 89
3, 7, 17
2, 179
359
23 × 32 × 5
192
2, 181
3 × 112
22 × 7 × 13
5, 73
2, 3, 61
367
24 × 23
32 × 41

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 355? (The answer is: 5, 71). Pick the number for factorization (e.g. '355'). 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 355?

Prime Factors of 355: 5, 71

How many prime factors does 355 have?

Number 355 has 2 Prime Factors