Prime Factorization of 804

What is the Prime Factorization of 804?

Answer: Prime Factors of 804: 2, 2, 3, 67

or

22 × 3 × 67

Explanation of number 804 Prime Factorization

Prime Factorization of 804 it is expressing 804 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 804.

Since number 804 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 804, we have to iteratively divide 804 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 804:

The smallest Prime Number which can divide 804 without a remainder is 2. So the first calculation step would look like:

804 ÷ 2 = 402

Now we repeat this action until the result equals 1:

402 ÷ 2 = 201

201 ÷ 3 = 67

67 ÷ 67 = 1

Now we have all the Prime Factors for number 804. It is: 2, 2, 3, 67

Or you may also write it in exponential form: 22 × 3 × 67

Prime Factor Tree of 804

We may also express the prime factorization of 804 as a Factor Tree:

Prime factors of 804 factorization tree of 804

Related Calculations

Prime Factorization Table

NumberPrime Factors
7893, 263
7902, 5, 79
7917, 113
23 × 32 × 11
13, 61
2, 397
3, 5, 53
79622 × 199
797797
7982, 3, 7, 19
79917, 47
25 × 52
32 × 89
8022, 401
80311, 73
22 × 3 × 67
5, 7, 23
8062, 13, 31
8073, 269
80823 × 101
809
2 × 34 × 5
811
22 × 7 × 29
8133, 271
2, 11, 37
8155, 163
24 × 3 × 17
19, 43
8182, 409

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 804? (The answer is: 2, 2, 3, 67). Pick the number for factorization (e.g. '804'). 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 804?

Prime Factors of 804: 2, 2, 3, 67

How many prime factors does 804 have?

Number 804 has 4 Prime Factors

What is the Prime Factorization of 804 in exponential form?

The Prime Factorization of the number 804 in the exponential form is: 22 × 3 × 67