Prime Factorization of 3825

"Prime Factorization" Calculator

What is the prime factorization of 3,825?

Answer

Prime Factors of 3,825:

3, 3, 5, 5, 17

3825 = 3² × 5² × 17 · composite · 18 factors · 5 prime factors counting repeats

Division ladder

3825	3
1275	3
425	5
85	5
17	17
1

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

Second way — factor tree

Related Calculations

3825 in roman numerals

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
3,725	5² × 149
3,730	2, 5, 373
3,740	2² × 5 × 11 × 17
3,745	5, 7, 107
3,750	2 × 3 × 5⁴
3,755	5, 751
3,765	3, 5, 251
3,775	5² × 151
3,780	2² × 3³ × 5 × 7
3,785	5, 757
3,795	3, 5, 11, 23
3,800	2³ × 5² × 19
3,805	5, 761
3,810	2, 3, 5, 127
3,815	5, 7, 109
3,825	3² × 5² × 17
3,830	2, 5, 383
3,840	2⁸ × 3 × 5
3,845	5, 769
3,850	2 × 5² × 7 × 11
3,855	3, 5, 257
3,865	5, 773
3,870	2 × 3² × 5 × 43
3,875	5³ × 31
3,880	2³ × 5 × 97
3,885	3, 5, 7, 37
3,890	2, 5, 389
3,900	2² × 3 × 5² × 13
3,905	5, 11, 71
3,915	3³ × 5 × 29

FAQ

What is the prime factorization of 3,825?

Prime Factors of 3,825: 3, 3, 5, 5, 17

How many prime factors does 3,825 have?

Number 3,825 has 5 prime factors counting repeats; 3 different: 3, 5 and 17.

What is the prime factorization of 3,825 in exponential form?

The prime factorization of the number 3,825 in the exponential form is: 3² × 5² × 17