Prime Factorization of 6825

"Prime Factorization" Calculator

What is the Prime Factorization of 6,825?

Answer

Prime Factors of 6,825:

3, 5, 5, 7, 13

6825 = 3 × 5² × 7 × 13 · composite · 24 factors · 5 prime factors counting repeats

Division ladder

6825	3
2275	5
455	5
91	7
13	13
1

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

Second way — factor tree

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
6,735	3, 5, 449
6,745	5, 19, 71
6,750	2 × 3³ × 5³
6,755	5, 7, 193
6,760	2³ × 5 × 13²
6,765	3, 5, 11, 41
6,770	2, 5, 677
6,775	5² × 271
6,780	2² × 3 × 5 × 113
6,785	5, 23, 59
6,790	2, 5, 7, 97
6,795	3² × 5 × 151
6,800	2⁴ × 5² × 17
6,805	5, 1361
6,815	5, 29, 47
6,825	3 × 5² × 7 × 13
6,830	2, 5, 683
6,840	2³ × 3² × 5 × 19
6,855	3, 5, 457
6,860	2² × 5 × 7³
6,870	2, 3, 5, 229
6,875	5⁴ × 11
6,880	2⁵ × 5 × 43
6,885	3⁴ × 5 × 17
6,890	2, 5, 13, 53
6,895	5, 7, 197
6,910	2, 5, 691
6,915	3, 5, 461
6,920	2³ × 5 × 173
6,925	5² × 277

FAQ

What is the Prime Factorization of 6,825?

Prime Factors of 6,825: 3, 5, 5, 7, 13

How many prime factors does 6,825 have?

Number 6,825 has 5 prime factors counting repeats; 4 different: 3, 5, 7 and 13.

What is the Prime Factorization of 6,825 in exponential form?

The Prime Factorization of the number 6,825 in the exponential form is: 3 × 5² × 7 × 13