Prime Factorization of 867

What is the Prime Factorization of 867?

Answer: Prime Factors of 867: 3, 17, 17

or

3 × 172

Explanation of number 867 Prime Factorization

Prime Factorization of 867 it is expressing 867 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 867.

Since number 867 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 867, we have to iteratively divide 867 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 867:

The smallest Prime Number which can divide 867 without a remainder is 3. So the first calculation step would look like:

867 ÷ 3 = 289

Now we repeat this action until the result equals 1:

289 ÷ 17 = 17

17 ÷ 17 = 1

Now we have all the Prime Factors for number 867. It is: 3, 17, 17

Or you may also write it in exponential form: 3 × 172

Prime Factor Tree of 867

We may also express the prime factorization of 867 as a Factor Tree:

Related Calculations

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 867? (The answer is: 3, 17, 17). Pick the number for factorization (e.g. '867'). 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
85222 × 3 × 71
853
8542, 7, 61
32 × 5 × 19
85623 × 107
857
2, 3, 11, 13
859859
86022 × 5 × 43
8613, 7, 41
8622, 431
863
25 × 33
8655, 173
8662, 433
3 × 172
86822 × 7 × 31
11, 79
2, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
53 × 7
87622 × 3 × 73
877
8782, 439
8793, 293
24 × 5 × 11
881

FAQ

What is the Prime Factorization of 867?

Prime Factors of 867: 3, 17, 17

How many prime factors does 867 have?

Number 867 has 3 Prime Factors

What is the Prime Factorization of 867 in exponential form?

The Prime Factorization of the number 867 in the exponential form is: 3 × 172