Prime Factorization of 873

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

Related Calculations

Prime Factorization Table

NumberPrime Factors
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
2, 3, 5, 29
87113, 67
87223 × 109
87332 × 97
8742, 19, 23
53 × 7
87622 × 3 × 73
877
8782, 439
3, 293
24 × 5 × 11
881
2 × 32 × 72
883883
22 × 13 × 17
8853, 5, 59
2, 443
887

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

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