Prime Factorization of 855

What is the Prime Factorization of 855?

Answer: Prime Factors of 855: 3, 3, 5, 19

or

32 × 5 × 19

Explanation of number 855 Prime Factorization

Prime Factorization of 855 it is expressing 855 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 855.

Since number 855 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 855, we have to iteratively divide 855 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 855:

The smallest Prime Number which can divide 855 without a remainder is 3. So the first calculation step would look like:

855 ÷ 3 = 285

Now we repeat this action until the result equals 1:

285 ÷ 3 = 95

95 ÷ 5 = 19

19 ÷ 19 = 1

Now we have all the Prime Factors for number 855. It is: 3, 3, 5, 19

Or you may also write it in exponential form: 32 × 5 × 19

Prime Factor Tree of 855

We may also express the prime factorization of 855 as a Factor Tree:

Prime factors of 855 factorization tree of 855

Related Calculations

Prime Factorization Table

NumberPrime Factors
23 × 3 × 5 × 7
292
8422, 421
8433, 281
84422 × 211
5 × 132
2 × 32 × 47
7 × 112
84824 × 53
8493, 283
2 × 52 × 17
23, 37
85222 × 3 × 71
853
2, 7, 61
32 × 5 × 19
85623 × 107
857
2, 3, 11, 13
859859
22 × 5 × 43
8613, 7, 41
8622, 431
863
25 × 33
5, 173
8662, 433
3 × 172
86822 × 7 × 31
11, 79

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 855? (The answer is: 3, 3, 5, 19). Pick the number for factorization (e.g. '855'). 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 855?

Prime Factors of 855: 3, 3, 5, 19

How many prime factors does 855 have?

Number 855 has 4 Prime Factors

What is the Prime Factorization of 855 in exponential form?

The Prime Factorization of the number 855 in the exponential form is: 32 × 5 × 19