Factors of 180
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. It has 18 factors.
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 180 is a whole number that divides it with nothing left over. You only need to test the numbers up to √180 ≈ 13.42; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 18 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: the sum is 546. Without 180 itself that is 366, so 180 is an abundant number.
LaTeX source of the formulas on this page
\[ 180 = 2^{2} \times 3^{2} \times 5 \]Factor pairs of 180
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 180 | 1 × 180 = 180 |
| 2 | 90 | 2 × 90 = 180 |
| 3 | 60 | 3 × 60 = 180 |
| 4 | 45 | 4 × 45 = 180 |
| 5 | 36 | 5 × 36 = 180 |
| 6 | 30 | 6 × 30 = 180 |
| 9 | 20 | 9 × 20 = 180 |
| 10 | 18 | 10 × 18 = 180 |
| 12 | 15 | 12 × 15 = 180 |
Questions
What are the factors of 180?
The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. It has 18 factors.
What are the prime factors of 180?
2, 3, 5. As a product: × × 5.
How many factors does 180 have?
180 has 18 factors (9 factor pairs).
What is the sum of the factors of 180?
546.
Is 180 a prime number?
No. It is divisible by 2, so 180 = 2 × 90.