Prime Factorization of 819

"Prime Factorization" Calculator

What is the Prime Factorization of 819?

Answer

Prime Factors of 819:

3, 3, 7, 13

819 = 3² × 7 × 13 · composite · 12 factors · 4 prime factors counting repeats

Division ladder

819	3
273	3
91	7
13	13
1

Left: what is left; right: the smallest prime that divides it; 1 at the bottom.

Second way — factor tree

Related Calculations

See Also

Factors of a Number - List all Factors and Factor Pairs of a Number
Prime Number Checker - Find out whether a given number is Prime or not
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

Recalculate with different values ↑

Prime Factorization Table

Number	Prime Factors
804	2² × 3 × 67
805	5, 7, 23
806	2, 13, 31
807	3, 269
808	2³ × 101
809	809
810	2 × 3⁴ × 5
811	811
812	2² × 7 × 29
813	3, 271
814	2, 11, 37
815	5, 163
816	2⁴ × 3 × 17
817	19, 43
818	2, 409
819	3² × 7 × 13
820	2² × 5 × 41
821	821
822	2, 3, 137
823	823
824	2³ × 103
825	3 × 5² × 11
826	2, 7, 59
827	827
828	2² × 3² × 23
829	829
830	2, 5, 83
831	3, 277
832	2⁶ × 13
833	7² × 17

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 counting repeats; 3 different: 3, 7 and 13.

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