Prime Factorization of 48

"Prime Factorization" Calculator

What is the prime factorization of 48?

Answer

Prime Factors of 48:

2, 2, 2, 2, 3

48 = 2⁴ × 3 · composite · 10 factors · 5 prime factors counting repeats

Division ladder

48	2
24	2
12	2
6	2
3	3
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
33	3, 11
34	2, 17
35	5, 7
36	2² × 3²
37	37
38	2, 19
39	3, 13
40	2³ × 5
41	41
42	2, 3, 7
43	43
44	2² × 11
45	3² × 5
46	2, 23
47	47
48	2⁴ × 3
49	7²
50	2 × 5²
51	3, 17
52	2² × 13
53	53
54	2 × 3³
55	5, 11
56	2³ × 7
57	3, 19
58	2, 29
59	59
60	2² × 3 × 5
61	61
62	2, 31

FAQ

What is the prime factorization of 48?

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

How many prime factors does 48 have?

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

What is the prime factorization of 48 in exponential form?

The prime factorization of the number 48 in the exponential form is: 2⁴ × 3