Prime Factorization of 4800

"Prime Factorization" Calculator

What is the prime factorization of 4,800?

Answer

Prime Factors of 4,800:

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

4800 = 2⁶ × 3 × 5² · composite · 42 factors · 9 prime factors counting repeats

Division ladder

4800	2
2400	2
1200	2
600	2
300	2
⋮
5	5
1

all 9 steps

4800	2
2400	2
1200	2
600	2
300	2
150	2
75	3
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
4,640	2⁵ × 5 × 29
4,665	3, 5, 311
4,680	2³ × 3² × 5 × 13
4,685	5, 937
4,690	2, 5, 7, 67
4,705	5, 941
4,720	2⁴ × 5 × 59
4,725	3³ × 5² × 7
4,735	5, 947
4,740	2² × 3 × 5 × 79
4,745	5, 13, 73
4,752	2⁴ × 3³ × 11
4,755	3, 5, 317
4,780	2² × 5 × 239
4,795	5, 7, 137
4,800	2⁶ × 3 × 5²
4,805	5 × 31²
4,815	3² × 5 × 107
4,840	2³ × 5 × 11²
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

FAQ

What is the prime factorization of 4,800?

Prime Factors of 4,800: 2, 2, 2, 2, 2, 2, 3, 5, 5

How many prime factors does 4,800 have?

Number 4,800 has 9 prime factors counting repeats; 3 different: 2, 3 and 5.

What is the prime factorization of 4,800 in exponential form?

The prime factorization of the number 4,800 in the exponential form is: 2⁶ × 3 × 5²