Is 289 a prime number?
No, 289 is not a prime number. It is divisible by 17: 289 = 17 × 17.
Is 289 prime?
Pick any whole number from 1 to 10,000.
How to work it out
- 1
A prime number has exactly two factors: 1 and itself.
- 2
It is enough to test the primes up to √289 ≈ 17.00. If none of them divides 289, it is prime.
- 3
17 divides 289 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 289 = 17^{2} \]Testing 289 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 289 ÷ 2 | leaves 1 |
| 3 | 289 ÷ 3 | leaves 1 |
| 5 | 289 ÷ 5 | leaves 4 |
| 7 | 289 ÷ 7 | leaves 2 |
| 11 | 289 ÷ 11 | leaves 3 |
| 13 | 289 ÷ 13 | leaves 3 |
| 17 | 289 ÷ 17 | divides exactly (17) |
Questions
Is 289 a prime number?
No, 289 is not a prime number. It is divisible by 17: 289 = 17 × 17.
What is the next prime after 289?
293.
What is the prime number before 289?
283.
What are the factors of 289?
1, 17, 289.