Prime Factorization of 4000

"Prime Factorization" Calculator

What is the Prime Factorization of 4,000?

Answer

Prime Factors of 4,000:

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

4000 = 2⁵ × 5³ · composite · 24 factors · 8 prime factors counting repeats

Division ladder

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
3,880	2³ × 5 × 97
3,885	3, 5, 7, 37
3,890	2, 5, 389
3,900	2² × 3 × 5² × 13
3,905	5, 11, 71
3,915	3³ × 5 × 29
3,935	5, 787
3,940	2² × 5 × 197
3,950	2 × 5² × 79
3,955	5, 7, 113
3,960	2³ × 3² × 5 × 11
3,970	2, 5, 397
3,975	3 × 5² × 53
3,985	5, 797
3,990	2, 3, 5, 7, 19
4,000	2⁵ × 5³
4,010	2, 5, 401
4,015	5, 11, 73
4,032	2⁶ × 3² × 7
4,040	2³ × 5 × 101
4,045	5, 809
4,050	2 × 3⁴ × 5²
4,055	5, 811
4,060	2² × 5 × 7 × 29
4,065	3, 5, 271
4,070	2, 5, 11, 37
4,075	5² × 163
4,080	2⁴ × 3 × 5 × 17
4,085	5, 19, 43
4,095	3² × 5 × 7 × 13

FAQ

What is the Prime Factorization of 4,000?

Prime Factors of 4,000: 2, 2, 2, 2, 2, 5, 5, 5

How many prime factors does 4,000 have?

Number 4,000 has 8 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 4,000 in exponential form?

The Prime Factorization of the number 4,000 in the exponential form is: 2⁵ × 5³