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

(number 180 has 18 factors)

Factor Pairs of 180

A Factor Pair of number 180 is a combination of two factors which can be multiplied together to equal 180.

List of all possible Factor Pairs of 180:

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

How to find the Factors of 180

Divide 180 by every whole number from 1 up to 13. Each division without a remainder gives a factor and its pair. There is no point going further: 14 × 14 = 196 is already greater than 180, so any larger divisor would pair with a smaller one you have already checked.

  • 180 ÷ 1 = 180 — factors 1 and 180
  • 180 ÷ 2 = 90 — factors 2 and 90
  • 180 ÷ 3 = 60 — factors 3 and 60
  • 180 ÷ 4 = 45 — factors 4 and 45
  • 180 ÷ 5 = 36 — factors 5 and 36
  • 180 ÷ 6 = 30 — factors 6 and 30
  • 180 ÷ 7 — remainder 5, not a factor
  • 180 ÷ 8 — remainder 4, not a factor
  • 180 ÷ 9 = 20 — factors 9 and 20
  • 180 ÷ 10 = 18 — factors 10 and 18
  • 180 ÷ 11 — remainder 4, not a factor
  • 180 ÷ 12 = 15 — factors 12 and 15
  • 180 ÷ 13 — remainder 11, not a factor

Why 180 has exactly 18 factors

The count follows from the prime factorization: add 1 to each exponent and multiply. Counting the divisors this way needs no trial division at all, however large the number is.

180 = 22 × 32 × 5

(2 + 1) × (2 + 1) × (1 + 1) = 18

Step-by-step factorization: Prime factors of 180.

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About "Factors of a Number" Calculator

This calculator will help you find all factors of a given number. For example, it can help you find out what are the Factors of 180? (The answer is: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180). Pick the number (e.g. '180'). After that hit the 'Find' button.
The Factors of a number are numbers that divides initial number evenly, with no remainder
"Factors of a Number" Calculator
Factors of

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

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