Prime Factorization of 828

"Prime Factorization" Calculator

What is the prime factorization of 828?

Answer

Prime Factors of 828:

2, 2, 3, 3, 23

828 = 2² × 3² × 23 · composite · 18 factors · 5 prime factors counting repeats

Division ladder

828	2
414	2
207	3
69	3
23	23
1

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

Second way — factor tree

Related Calculations

828 to hex

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
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
832	2⁶ × 13
833	7² × 17
834	2, 3, 139
835	5, 167
836	2² × 11 × 19
837	3³ × 31
838	2, 419
839	839
840	2³ × 3 × 5 × 7
841	29²
842	2, 421
843	3, 281

FAQ

What is the prime factorization of 828?

Prime Factors of 828: 2, 2, 3, 3, 23

How many prime factors does 828 have?

Number 828 has 5 prime factors counting repeats; 3 different: 2, 3 and 23.

What is the prime factorization of 828 in exponential form?

The prime factorization of the number 828 in the exponential form is: 2² × 3² × 23