Is 3497 a prime number?
No, 3497 is not a prime number. It is divisible by 13: 3497 = 13 × 269.
Is 3497 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 √3497 ≈ 59.14. If none of them divides 3497, it is prime.
- 3
13 divides 3497 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3497 = 13 \times 269 \]
Testing 3497 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3497 ÷ 2 | leaves 1 |
| 3 | 3497 ÷ 3 | leaves 2 |
| 5 | 3497 ÷ 5 | leaves 2 |
| 7 | 3497 ÷ 7 | leaves 4 |
| 11 | 3497 ÷ 11 | leaves 10 |
| 13 | 3497 ÷ 13 | divides exactly (269) |
| 17 | 3497 ÷ 17 | leaves 12 |
| 19 | 3497 ÷ 19 | leaves 1 |
| 23 | 3497 ÷ 23 | leaves 1 |
| 29 | 3497 ÷ 29 | leaves 17 |
| 31 | 3497 ÷ 31 | leaves 25 |
| 37 | 3497 ÷ 37 | leaves 19 |
Questions
Is 3497 a prime number?
No, 3497 is not a prime number. It is divisible by 13: 3497 = 13 × 269.
What is the next prime after 3497?
3499.
What is the prime number before 3497?
3491.
What are the factors of 3497?
1, 13, 269, 3497.