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Factors of 72

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What are the Factors of 72?

Answer

Factors of 72:

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

12 factors · 72 = 2³ × 3² · composite

Underlined — prime: 2, 3 · 1 — neither prime nor composite · others — composite

Factor pairs of 72

6 pairs: 1 × 72 · 2 × 36 · 3 × 24 · 4 × 18 · 6 × 12 · 8 × 9

Past √72 ≈ 8.49 every pair would repeat one already found — so checking stops at 8.

72 = 2³ × 3² → (3 + 1) × (2 + 1) = 12 factors: add 1 to each exponent and multiply.

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See Also

Prime Number Checker - Find out whether a given number is Prime or not
Prime Factorization - Prime Factorization Calculator
Prime Numbers List - List of all Prime Numbers - how many Prime numbers are between

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Factors of 72. Factors of 72: full list and factor pairs.

https://calculat.io/en/number/factors-of/72/generated.jpg

Factors Table

Number	Factors
57	1, 3, 19, 57
58	1, 2, 29, 58
59	1, 59
60	1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
61	1, 61
62	1, 2, 31, 62
63	1, 3, 7, 9, 21, 63
64	1, 2, 4, 8, 16, 32, 64
65	1, 5, 13, 65
66	1, 2, 3, 6, 11, 22, 33, 66
67	1, 67
68	1, 2, 4, 17, 34, 68
69	1, 3, 23, 69
70	1, 2, 5, 7, 10, 14, 35, 70
71	1, 71
72	1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
73	1, 73
74	1, 2, 37, 74
75	1, 3, 5, 15, 25, 75
76	1, 2, 4, 19, 38, 76
77	1, 7, 11, 77
78	1, 2, 3, 6, 13, 26, 39, 78
79	1, 79
80	1, 2, 4, 5, 8, 10, 16, 20, 40, 80
81	1, 3, 9, 27, 81
82	1, 2, 41, 82
83	1, 83
84	1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
85	1, 5, 17, 85
86	1, 2, 43, 86

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FAQ

What are the Factors of 72?

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

How many factors does 72 have?

Number 72 has 12 factors

How many Factor Pairs does 72 have?

Number 72 has 6 factor pairs

Is 72 a prime or composite number?

Composite: 72 = 2³ × 3², so it has 12 factors — a prime has exactly two.

How many factors does 72 have excluding 1 and 72?

10: 2, 3, 4, 6, 8, 9, 12, 18, 24 and 36.