Factors of 180

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What are the Factors of 180?

Answer

Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

18 factors · 180 = 22 × 32 × 5 · composite

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

Factor pairs of 180

  • 1 × 180
  • 2 × 90
  • 3 × 60
  • 4 × 45
  • 5 × 36
  • 6 × 30
  • 9 × 20
  • 10 × 18
  • 12 × 15

√180 ≈ 13.42 — the last pair 12 × 15 sits here; past it pairs repeat.

180 = 22 × 32 × 5 → (2 + 1) × (2 + 1) × (1 + 1) = 18 factors: add 1 to each exponent and multiply.

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Factors Table

NumberFactors
1651, 3, 5, 11, 15, 33, 55, 165
1661, 2, 83, 166
1671, 167
1681, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1691, 13, 169
1701, 2, 5, 10, 17, 34, 85, 170
1711, 3, 9, 19, 57, 171
1721, 2, 4, 43, 86, 172
1731, 173
1741, 2, 3, 6, 29, 58, 87, 174
1751, 5, 7, 25, 35, 175
1761, 2, 4, 8, 11, 16, 22, 44, 88, 176
1771, 3, 59, 177
1781, 2, 89, 178
1791, 179
1801, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
1811, 181
1821, 2, 7, 13, 14, 26, 91, 182
1831, 3, 61, 183
1841, 2, 4, 8, 23, 46, 92, 184
1851, 5, 37, 185
1861, 2, 3, 6, 31, 62, 93, 186
1871, 11, 17, 187
1881, 2, 4, 47, 94, 188
1891, 3, 7, 9, 21, 27, 63, 189
1901, 2, 5, 10, 19, 38, 95, 190
1911, 191
1921, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
1931, 193
1941, 2, 97, 194

FAQ

What are the Factors of 180?

Factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

How many factors does 180 have?

Number 180 has 18 factors

How many Factor Pairs does 180 have?

Number 180 has 9 factor pairs

Is 180 a prime or composite number?

Composite: 180 = 2² × 3² × 5, so it has 18 factors — a prime has exactly two.

How many factors does 180 have excluding 1 and 180?

16: 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 and 90.

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