Prime Factorization of 18000

"Prime Factorization" Calculator

What is the Prime Factorization of 18,000?

Answer

Prime Factors of 18,000:

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

18000 = 2⁴ × 3² × 5³ · composite · 60 factors · 9 prime factors counting repeats

Division ladder

18000	2
9000	2
4500	2
2250	2
1125	3
⋮
5	5
1

all 9 steps

18000	2
9000	2
4500	2
2250	2
1125	3
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

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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
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
20,000	2⁵ × 5⁴
20,403	3² × 2267
21,000	2³ × 3 × 5³ × 7
21,780	2² × 3² × 5 × 11²
21,975	3 × 5² × 293
22,000	2⁴ × 5³ × 11
22,016	2⁹ × 43
24,000	2⁶ × 3 × 5³
25,000	2³ × 5⁵
26,000	2⁴ × 5³ × 13
27,000	2³ × 3³ × 5³
28,000	2⁵ × 5³ × 7

FAQ

What is the Prime Factorization of 18,000?

Prime Factors of 18,000: 2, 2, 2, 2, 3, 3, 5, 5, 5

How many prime factors does 18,000 have?

Number 18,000 has 9 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 18,000 in exponential form?

The Prime Factorization of the number 18,000 in the exponential form is: 2⁴ × 3² × 5³