Prime Factorization of 3355

What is the Prime Factorization of 3355?

Answer: Prime Factors of 3355: 5, 11, 61

Explanation of number 3355 Prime Factorization

Prime Factorization of 3355 it is expressing 3355 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 3355.

Since number 3355 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 3355, we have to iteratively divide 3355 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 3355:

The smallest Prime Number which can divide 3355 without a remainder is 5. So the first calculation step would look like:

3355 ÷ 5 = 671

Now we repeat this action until the result equals 1:

671 ÷ 11 = 61

61 ÷ 61 = 1

Now we have all the Prime Factors for number 3355. It is: 5, 11, 61

Prime Factor Tree of 3355

We may also express the prime factorization of 3355 as a Factor Tree:

Prime factors of 3355 factorization tree of 3355

Related Calculations

Prime Factorization Table

NumberPrime Factors
334022 × 5 × 167
334113, 257
33422, 3, 557
33433343
334424 × 11 × 19
33453, 5, 223
33462, 7, 239
33473347
334822 × 33 × 31
334917, 197
33502 × 52 × 67
33513, 1117
335223 × 419
33537, 479
33542, 3, 13, 43
5, 11, 61
335622 × 839
335732 × 373
33582, 23, 73
33593359
25 × 3 × 5 × 7
33613361
33622 × 412
33633, 19, 59
336422 × 292
33655, 673
33662 × 32 × 11 × 17
33677, 13, 37
336823 × 421
33693, 1123

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 3355? (The answer is: 5, 11, 61). Pick the number for factorization (e.g. '3355'). 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 3355?

Prime Factors of 3355: 5, 11, 61

How many prime factors does 3355 have?

Number 3355 has 3 Prime Factors