Prime Factorization of 825

"Prime Factorization" Calculator

What is the Prime Factorization of 825?

Answer

Prime Factors of 825:

3, 5, 5, 11

825 = 3 × 5² × 11 · composite · 12 factors · 4 prime factors counting repeats

Division ladder

825	3
275	5
55	5
11	11
1

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

Second way — factor tree

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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
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
834	2, 3, 139
835	5, 167
836	2² × 11 × 19
837	3³ × 31
838	2, 419
839	839

FAQ

What is the Prime Factorization of 825?

Prime Factors of 825: 3, 5, 5, 11

How many prime factors does 825 have?

Number 825 has 4 prime factors counting repeats; 3 different: 3, 5 and 11.

What is the Prime Factorization of 825 in exponential form?

The Prime Factorization of the number 825 in the exponential form is: 3 × 5² × 11