Prime Factorization of 12000

"Prime Factorization" Calculator

What is the Prime Factorization of 12,000?

Answer

Prime Factors of 12,000:

2, 2, 2, 2, 2, 3, 5, 5, 5

12000 = 2⁵ × 3 × 5³ · composite · 48 factors · 9 prime factors counting repeats

Division ladder

12000	2
6000	2
3000	2
1500	2
750	2
⋮
5	5
1

all 9 steps

12000	2
6000	2
3000	2
1500	2
750	2
375	3
125	5
25	5
5	5
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
9,910	2, 5, 991
9,920	2⁶ × 5 × 31
9,925	5² × 397
9,935	5, 1987
9,945	3² × 5 × 13 × 17
9,955	5, 11, 181
9,960	2³ × 3 × 5 × 83
9,970	2, 5, 997
9,975	3 × 5² × 7 × 19
9,980	2² × 5 × 499
9,990	2 × 3³ × 5 × 37
9,995	5, 1999
10,000	2⁴ × 5⁴
10,850	2 × 5² × 7 × 31
11,000	2³ × 5³ × 11
12,000	2⁵ × 3 × 5³
12,437	12,437
13,000	2³ × 5³ × 13
14,000	2⁴ × 5³ × 7
14,014	2 × 7² × 11 × 13
14,303	14,303
15,000	2³ × 3 × 5⁴
15,125	5³ × 11²
16,000	2⁷ × 5³
16,384	2¹⁴
17,000	2³ × 5³ × 17
17,989	17,989
18,000	2⁴ × 3² × 5³
19,000	2³ × 5³ × 19
19,683	3⁹

FAQ

What is the Prime Factorization of 12,000?

Prime Factors of 12,000: 2, 2, 2, 2, 2, 3, 5, 5, 5

How many prime factors does 12,000 have?

Number 12,000 has 9 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 12,000 in exponential form?

The Prime Factorization of the number 12,000 in the exponential form is: 2⁵ × 3 × 5³