Prime Factorization of 72

"Prime Factorization" Calculator

What is the Prime Factorization of 72?

Answer

Prime Factors of 72:

2, 2, 2, 3, 3

72 = 2³ × 3² · composite · 12 factors · 5 prime factors counting repeats

Division ladder

72	2
36	2
18	2
9	3
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
57	3, 19
58	2, 29
59	59
60	2² × 3 × 5
61	61
62	2, 31
63	3² × 7
64	2⁶
65	5, 13
66	2, 3, 11
67	67
68	2² × 17
69	3, 23
70	2, 5, 7
71	71
72	2³ × 3²
73	73
74	2, 37
75	3 × 5²
76	2² × 19
77	7, 11
78	2, 3, 13
79	79
80	2⁴ × 5
81	3⁴
82	2, 41
83	83
84	2² × 3 × 7
85	5, 17
86	2, 43

FAQ

What is the Prime Factorization of 72?

Prime Factors of 72: 2, 2, 2, 3, 3

How many prime factors does 72 have?

Number 72 has 5 prime factors counting repeats; 2 different: 2 and 3.

What is the Prime Factorization of 72 in exponential form?

The Prime Factorization of the number 72 in the exponential form is: 2³ × 3²