Prime Factorization of 873

"Prime Factorization" Calculator

Prime Factors of

What is the Prime Factorization of 873?

Answer: Prime Factors of 873: 3, 3, 97

or

32 × 97

Explanation of number 873 Prime Factorization

Prime Factorization of 873 it is expressing 873 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 873.

Since number 873 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 873, we have to iteratively divide 873 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 873:

The smallest Prime Number which can divide 873 without a remainder is 3. So the first calculation step would look like:

873 ÷ 3 = 291

Now we repeat this action until the result equals 1:

291 ÷ 3 = 97

97 ÷ 97 = 1

Now we have all the Prime Factors for number 873. It is: 3, 3, 97

Or you may also write it in exponential form: 32 × 97

Prime Factor Tree of 873

We may also express the prime factorization of 873 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 873? (The answer is: 3, 3, 97). Pick the number for factorization (e.g. '873'). After that hit the 'Calculate' button.
Prime factors are the positive integers having only two factors - 1 and the number itself

"Prime Factorization" Calculator

Prime Factors of

Prime Factorization Table

NumberPrime Factors
8582, 3, 11, 13
859859
86022 × 5 × 43
8613, 7, 41
8622, 431
863863
86425 × 33
8655, 173
8662, 433
8673 × 172
86822 × 7 × 31
86911, 79
8702, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
87553 × 7
87622 × 3 × 73
877877
8782, 439
8793, 293
88024 × 5 × 11
881881
8822 × 32 × 72
883883
88422 × 13 × 17
8853, 5, 59
8862, 443
887887

FAQ

What is the Prime Factorization of 873?

Prime Factors of 873: 3, 3, 97

How many prime factors does 873 have?

Number 873 has 3 Prime Factors

What is the Prime Factorization of 873 in exponential form?

The Prime Factorization of the number 873 in the exponential form is: 32 × 97

See Also