Factors of 120

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What are the Factors of 120?

Answer

Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

16 factors · 120 = 23 × 3 × 5 · composite

Underlined — prime: 2, 3, 5 · 1 — neither prime nor composite · others — composite

Factor pairs of 120

  • 1 × 120
  • 2 × 60
  • 3 × 40
  • 4 × 30
  • 5 × 24
  • 6 × 20
  • 8 × 15
  • 10 × 12

√120 ≈ 10.95 — the last pair 10 × 12 sits here; past it pairs repeat.

120 = 23 × 3 × 5 → (3 + 1) × (1 + 1) × (1 + 1) = 16 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1051, 3, 5, 7, 15, 21, 35, 105
1061, 2, 53, 106
1071, 107
1081, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
1091, 109
1101, 2, 5, 10, 11, 22, 55, 110
1111, 3, 37, 111
1121, 2, 4, 7, 8, 14, 16, 28, 56, 112
1131, 113
1141, 2, 3, 6, 19, 38, 57, 114
1151, 5, 23, 115
1161, 2, 4, 29, 58, 116
1171, 3, 9, 13, 39, 117
1181, 2, 59, 118
1191, 7, 17, 119
1201, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1211, 11, 121
1221, 2, 61, 122
1231, 3, 41, 123
1241, 2, 4, 31, 62, 124
1251, 5, 25, 125
1261, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1271, 127
1281, 2, 4, 8, 16, 32, 64, 128
1291, 3, 43, 129
1301, 2, 5, 10, 13, 26, 65, 130
1311, 131
1321, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1331, 7, 19, 133
1341, 2, 67, 134

FAQ

What are the Factors of 120?

Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

How many factors does 120 have?

Number 120 has 16 factors

How many Factor Pairs does 120 have?

Number 120 has 8 factor pairs

Is 120 a prime or composite number?

Composite: 120 = 2³ × 3 × 5, so it has 16 factors — a prime has exactly two.

How many factors does 120 have excluding 1 and 120?

14: 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40 and 60.

See Also