Prime Factorization of 819

What is the Prime Factorization of 819?

Answer: Prime Factors of 819: 3, 3, 7, 13

or

32 × 7 × 13

Explanation of number 819 Prime Factorization

Prime Factorization of 819 it is expressing 819 as the product of prime factors. In other words it is finding which prime numbers should be multiplied together to make 819.

Since number 819 is a Composite number (not Prime) we can do its Prime Factorization.

To get a list of all Prime Factors of 819, we have to iteratively divide 819 by the smallest prime number possible until the result equals 1.

Here is the complete solution of finding Prime Factors of 819:

The smallest Prime Number which can divide 819 without a remainder is 3. So the first calculation step would look like:

819 ÷ 3 = 273

Now we repeat this action until the result equals 1:

273 ÷ 3 = 91

91 ÷ 7 = 13

13 ÷ 13 = 1

Now we have all the Prime Factors for number 819. It is: 3, 3, 7, 13

Or you may also write it in exponential form: 32 × 7 × 13

Prime Factor Tree of 819

We may also express the prime factorization of 819 as a Factor Tree:

Prime factors of 819 factorization tree of 819

Prime Factorization Table

NumberPrime Factors
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
5, 163
24 × 3 × 17
19, 43
8182, 409
32 × 7 × 13
22 × 5 × 41
821
8222, 3, 137
823
23 × 103
3 × 52 × 11
8262, 7, 59
827827
82822 × 32 × 23
829
8302, 5, 83
8313, 277
26 × 13
83372 × 17

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 819? (The answer is: 3, 3, 7, 13). Pick the number for factorization (e.g. '819'). 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 819?

Prime Factors of 819: 3, 3, 7, 13

How many prime factors does 819 have?

Number 819 has 4 Prime Factors

What is the Prime Factorization of 819 in exponential form?

The Prime Factorization of the number 819 in the exponential form is: 32 × 7 × 13