Prime Factorization of 20000

"Prime Factorization" Calculator

What is the Prime Factorization of 20,000?

Answer

Prime Factors of 20,000:

2, 2, 2, 2, 2, 5, 5, 5, 5

20000 = 2⁵ × 5⁴ · composite · 30 factors · 9 prime factors counting repeats

Division ladder

20000	2
10000	2
5000	2
2500	2
1250	2
⋮
5	5
1

all 9 steps

20000	2
10000	2
5000	2
2500	2
1250	2
625	5
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
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
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
29,000	2³ × 5³ × 29
30,000	2⁴ × 3 × 5⁴
32,000	2⁸ × 5³
33,000	2³ × 3 × 5³ × 11

FAQ

What is the Prime Factorization of 20,000?

Prime Factors of 20,000: 2, 2, 2, 2, 2, 5, 5, 5, 5

How many prime factors does 20,000 have?

Number 20,000 has 9 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 20,000 in exponential form?

The Prime Factorization of the number 20,000 in the exponential form is: 2⁵ × 5⁴