Prime Factorization of 16000

"Prime Factorization" Calculator

What is the Prime Factorization of 16,000?

Answer

Prime Factors of 16,000:

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

16000 = 2⁷ × 5³ · composite · 32 factors · 10 prime factors counting repeats

Division ladder

16000	2
8000	2
4000	2
2000	2
1000	2
⋮
5	5
1

all 10 steps

16000	2
8000	2
4000	2
2000	2
1000	2
500	2
250	2
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
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
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

FAQ

What is the Prime Factorization of 16,000?

Prime Factors of 16,000: 2, 2, 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 16,000 have?

Number 16,000 has 10 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 16,000 in exponential form?

The Prime Factorization of the number 16,000 in the exponential form is: 2⁷ × 5³