Factors of 1170

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What are the Factors of 1,170?

Answer

Factors of 1,170:
24 factors: 1, 2, 3, 5, 6 … 390, 585, 1170
all 24 factors

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170

24 factors · 1170 = 2 × 32 × 5 × 13 · composite

Underlined — prime: 2, 3, 5, 13 · 1 — neither prime nor composite · others — composite

Factor pairs of 1,170

  • 1 × 1170
  • 2 × 585
  • 3 × 390
  • 5 × 234
  • 6 × 195
  • 9 × 130
  • 10 × 117
  • 13 × 90
  • 15 × 78
  • 18 × 65
  • 26 × 45
  • 30 × 39

√1170 ≈ 34.21 — the last pair 30 × 39 sits here; past it pairs repeat.

1170 = 2 × 32 × 5 × 13 → (1 + 1) × (2 + 1) × (1 + 1) × (1 + 1) = 24 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1,1001, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100
1,1051, 5, 13, 17, 65, 85, 221, 1105
1,1101, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110
1,1151, 5, 223, 1115
1,1201, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120
1,1251, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125
1,1301, 2, 5, 10, 113, 226, 565, 1130
1,1351, 5, 227, 1135
1,1401, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
1,1451, 5, 229, 1145
1,1501, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
1,1551, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
1,1601, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160
1,1651, 5, 233, 1165
1,1671, 3, 389, 1167
1,1701, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 65, 78, 90, 117, 130, 195, 234, 390, 585, 1170
1,1751, 5, 25, 47, 235, 1175
1,1801, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180
1,1851, 3, 5, 15, 79, 237, 395, 1185
1,1901, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190
1,1951, 5, 239, 1195
1,2001, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 40, 48, 50, 60, 75, 80, 100, 120, 150, 200, 240, 300, 400, 600, 1200
1,2051, 5, 241, 1205
1,2101, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605, 1210
1,2151, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
1,2201, 2, 4, 5, 10, 20, 61, 122, 244, 305, 610, 1220
1,2251, 5, 7, 25, 35, 49, 175, 245, 1225
1,2301, 2, 3, 5, 6, 10, 15, 30, 41, 82, 123, 205, 246, 410, 615, 1230
1,2351, 5, 13, 19, 65, 95, 247, 1235
1,2401, 2, 4, 5, 8, 10, 20, 31, 40, 62, 124, 155, 248, 310, 620, 1240

FAQ

What are the Factors of 1,170?

Factors of 1,170: 24 factors: 1, 2, 3, 5, 6 … 390, 585, 1170

How many factors does 1,170 have?

Number 1,170 has 24 factors

How many Factor Pairs does 1,170 have?

Number 1,170 has 12 factor pairs

Is 1,170 a prime or composite number?

Composite: 1170 = 2 × 3² × 5 × 13, so it has 24 factors — a prime has exactly two.

How many factors does 1,170 have excluding 1 and 1,170?

22 — all 24 factors except 1 and 1,170.

See Also