Factors of 289
The factors of 289 are 1, 17, 289. It has 3 factors.
Factors of 289
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A factor of 289 is a whole number that divides it with nothing left over. You only need to test the numbers up to √289 ≈ 17.00; every one that divides gives a pair.
- 2
The factor pairs are listed in the table below. Together they give 3 factors.
- 3
Prime factorisation: keep dividing by the smallest prime that fits.
- 4
Add all the factors: 1 + 17 + 289 = 307. Without 289 itself that is 18, so 289 is a deficient number.
LaTeX source of the formulas on this page
\[ 289 = 17^{2} \]Factor pairs of 289
| Factor | Pairs with | Product |
|---|---|---|
| 1 | 289 | 1 × 289 = 289 |
| 17 | 17 | 17 × 17 = 289 |
Questions
What are the factors of 289?
The factors of 289 are 1, 17, 289. It has 3 factors.
What are the prime factors of 289?
17. As a product: .
How many factors does 289 have?
289 has 3 factors (2 factor pairs, one of them 17 × 17).
What is the sum of the factors of 289?
307.
Is 289 a prime number?
No. It is divisible by 17, so 289 = 17 × 17.