Prime Factorization of 5000

"Prime Factorization" Calculator

What is the prime factorization of 5,000?

Answer

Prime Factors of 5,000:

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

5000 = 2³ × 5⁴ · composite · 20 factors · 7 prime factors counting repeats

Division ladder

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

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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
4,845	3, 5, 17, 19
4,850	2 × 5² × 97
4,860	2² × 3⁵ × 5
4,875	3 × 5³ × 13
4,890	2, 3, 5, 163
4,900	2² × 5² × 7²
4,915	5, 983
4,920	2³ × 3 × 5 × 41
4,930	2, 5, 17, 29
4,940	2² × 5 × 13 × 19
4,950	2 × 3² × 5² × 11
4,970	2, 5, 7, 71
4,980	2² × 3 × 5 × 83
4,990	2, 5, 499
4,995	3³ × 5 × 37
5,000	2³ × 5⁴
5,005	5, 7, 11, 13
5,010	2, 3, 5, 167
5,015	5, 17, 59
5,020	2² × 5 × 251
5,035	5, 19, 53
5,040	2⁴ × 3² × 5 × 7
5,045	5, 1009
5,050	2 × 5² × 101
5,055	3, 5, 337
5,065	5, 1013
5,075	5² × 7 × 29
5,080	2³ × 5 × 127
5,085	3² × 5 × 113
5,090	2, 5, 509

FAQ

What is the prime factorization of 5,000?

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

How many prime factors does 5,000 have?

Number 5,000 has 7 prime factors counting repeats; 2 different: 2 and 5.

What is the prime factorization of 5,000 in exponential form?

The prime factorization of the number 5,000 in the exponential form is: 2³ × 5⁴