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.
Found an error in the calculation or the information?
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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 Table
| Number | Factors |
|---|---|
| 165 | 1, 3, 5, 11, 15, 33, 55, 165 |
| 166 | 1, 2, 83, 166 |
| 167 | 1, 167 |
| 168 | 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168 |
| 169 | 1, 13, 169 |
| 170 | 1, 2, 5, 10, 17, 34, 85, 170 |
| 171 | 1, 3, 9, 19, 57, 171 |
| 172 | 1, 2, 4, 43, 86, 172 |
| 173 | 1, 173 |
| 174 | 1, 2, 3, 6, 29, 58, 87, 174 |
| 175 | 1, 5, 7, 25, 35, 175 |
| 176 | 1, 2, 4, 8, 11, 16, 22, 44, 88, 176 |
| 177 | 1, 3, 59, 177 |
| 178 | 1, 2, 89, 178 |
| 179 | 1, 179 |
| 180 | 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180 |
| 181 | 1, 181 |
| 182 | 1, 2, 7, 13, 14, 26, 91, 182 |
| 183 | 1, 3, 61, 183 |
| 184 | 1, 2, 4, 8, 23, 46, 92, 184 |
| 185 | 1, 5, 37, 185 |
| 186 | 1, 2, 3, 6, 31, 62, 93, 186 |
| 187 | 1, 11, 17, 187 |
| 188 | 1, 2, 4, 47, 94, 188 |
| 189 | 1, 3, 7, 9, 21, 27, 63, 189 |
| 190 | 1, 2, 5, 10, 19, 38, 95, 190 |
| 191 | 1, 191 |
| 192 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192 |
| 193 | 1, 193 |
| 194 | 1, 2, 97, 194 |
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