Prime Factorization of 9000

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What is the Prime Factorization of 9,000?

Answer

Prime Factors of 9,000:

2, 2, 2, 3, 3, 5, 5, 5

9000 = 2³ × 3² × 5³ · composite · 48 factors · 8 prime factors counting repeats

Division ladder

9000	2
4500	2
2250	2
1125	3
375	3
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
8,830	2, 5, 883
8,835	3, 5, 19, 31
8,840	2³ × 5 × 13 × 17
8,845	5, 29, 61
8,865	3² × 5 × 197
8,885	5, 1777
8,890	2, 5, 7, 127
8,895	3, 5, 593
8,905	5, 13, 137
8,945	5, 1789
8,950	2 × 5² × 179
8,955	3² × 5 × 199
8,960	2⁸ × 5 × 7
8,970	2, 3, 5, 13, 23
8,995	5, 7, 257
9,000	2³ × 3² × 5³
9,025	5² × 19²
9,055	5, 1811
9,060	2² × 3 × 5 × 151
9,065	5 × 7² × 37
9,080	2³ × 5 × 227
9,085	5, 23, 79
9,090	2 × 3² × 5 × 101
9,095	5, 17, 107
9,100	2² × 5² × 7 × 13
9,110	2, 5, 911
9,120	2⁵ × 3 × 5 × 19
9,125	5³ × 73
9,135	3² × 5 × 7 × 29
9,140	2² × 5 × 457

FAQ

What is the Prime Factorization of 9,000?

Prime Factors of 9,000: 2, 2, 2, 3, 3, 5, 5, 5

How many prime factors does 9,000 have?

Number 9,000 has 8 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 9,000 in exponential form?

The Prime Factorization of the number 9,000 in the exponential form is: 2³ × 3² × 5³