Prime Factorization of 1000

"Prime Factorization" Calculator

What is the Prime Factorization of 1,000?

Answer

Prime Factors of 1,000:

2, 2, 2, 5, 5, 5

1000 = 2³ × 5³ · composite · 16 factors · 6 prime factors counting repeats

Division ladder

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
984	2³ × 3 × 41
985	5, 197
986	2, 17, 29
987	3, 7, 47
988	2² × 13 × 19
989	23, 43
990	2 × 3² × 5 × 11
991	991
993	3, 331
994	2, 7, 71
995	5, 199
996	2² × 3 × 83
997	997
998	2, 499
999	3³ × 37
1,000	2³ × 5³
1,001	7, 11, 13
1,005	3, 5, 67
1,010	2, 5, 101
1,015	5, 7, 29
1,020	2² × 3 × 5 × 17
1,024	2¹⁰
1,025	5² × 41
1,029	3 × 7³
1,030	2, 5, 103
1,035	3² × 5 × 23
1,040	2⁴ × 5 × 13
1,045	5, 11, 19
1,050	2 × 3 × 5² × 7
1,055	5, 211

FAQ

What is the Prime Factorization of 1,000?

Prime Factors of 1,000: 2, 2, 2, 5, 5, 5

How many prime factors does 1,000 have?

Number 1,000 has 6 prime factors counting repeats; 2 different: 2 and 5.

What is the Prime Factorization of 1,000 in exponential form?

The Prime Factorization of the number 1,000 in the exponential form is: 2³ × 5³