Prime Factorization of 48000

"Prime Factorization" Calculator

What is the Prime Factorization of 48,000?

Answer

Prime Factors of 48,000:

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

48000 = 2⁷ × 3 × 5³ · composite · 64 factors · 11 prime factors counting repeats

Division ladder

48000	2
24000	2
12000	2
6000	2
3000	2
⋮
5	5
1

all 11 steps

48000	2
24000	2
12000	2
6000	2
3000	2
1500	2
750	2
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
30,000	2⁴ × 3 × 5⁴
32,000	2⁸ × 5³
33,000	2³ × 3 × 5³ × 11
34,000	2⁴ × 5³ × 17
36,000	2⁵ × 3² × 5³
38,000	2⁴ × 5³ × 19
39,000	2³ × 3 × 5³ × 13
40,000	2⁶ × 5⁴
41,000	2³ × 5³ × 41
42,000	2⁴ × 3 × 5³ × 7
43,000	2³ × 5³ × 43
44,000	2⁵ × 5³ × 11
45,000	2³ × 3² × 5⁴
45,630	2 × 3³ × 5 × 13²
46,000	2⁴ × 5³ × 23
48,000	2⁷ × 3 × 5³
49,000	2³ × 5³ × 7²
50,000	2⁴ × 5⁵
52,000	2⁵ × 5³ × 13
54,000	2⁴ × 3³ × 5³
55,000	2³ × 5⁴ × 11
56,000	2⁶ × 5³ × 7
58,000	2⁴ × 5³ × 29
59,000	2³ × 5³ × 59
60,000	2⁵ × 3 × 5⁴
62,000	2⁴ × 5³ × 31
63,000	2³ × 3² × 5³ × 7
64,000	2⁹ × 5³
65,000	2³ × 5⁴ × 13
66,000	2⁴ × 3 × 5³ × 11

FAQ

What is the Prime Factorization of 48,000?

Prime Factors of 48,000: 2, 2, 2, 2, 2, 2, 2, 3, 5, 5, 5

How many prime factors does 48,000 have?

Number 48,000 has 11 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the Prime Factorization of 48,000 in exponential form?

The Prime Factorization of the number 48,000 in the exponential form is: 2⁷ × 3 × 5³