Prime Factorization of 8000

"Prime Factorization" Calculator

What is the Prime Factorization of 8,000?

Answer

Prime Factors of 8,000:

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

8000 = 2⁶ × 5³ · composite · 28 factors · 9 prime factors counting repeats

Division ladder

8000	2
4000	2
2000	2
1000	2
500	2
⋮
5	5
1

all 9 steps

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
7,845	3, 5, 523
7,850	2 × 5² × 157
7,865	5 × 11² × 13
7,870	2, 5, 787
7,875	3² × 5³ × 7
7,880	2³ × 5 × 197
7,885	5, 19, 83
7,895	5, 1579
7,915	5, 1583
7,920	2⁴ × 3² × 5 × 11
7,930	2, 5, 13, 61
7,935	3 × 5 × 23²
7,940	2² × 5 × 397
7,970	2, 5, 797
7,995	3, 5, 13, 41
8,000	2⁶ × 5³
8,005	5, 1601
8,010	2 × 3² × 5 × 89
8,020	2² × 5 × 401
8,030	2, 5, 11, 73
8,035	5, 1607
8,055	3² × 5 × 179
8,070	2, 3, 5, 269
8,085	3 × 5 × 7² × 11
8,090	2, 5, 809
8,100	2² × 3⁴ × 5²
8,105	5, 1621
8,110	2, 5, 811
8,120	2³ × 5 × 7 × 29
8,125	5⁴ × 13

FAQ

What is the Prime Factorization of 8,000?

Prime Factors of 8,000: 2, 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 8,000 have?

Number 8,000 has 9 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 8,000 in exponential form?

The Prime Factorization of the number 8,000 in the exponential form is: 2⁶ × 5³