Is 3498 a prime number?
No, 3498 is not a prime number. It is divisible by 2: 3498 = 2 × 1749.
Is 3498 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 √3498 ≈ 59.14. If none of them divides 3498, it is prime.
- 3
2 divides 3498 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3498 = 2 \times 3 \times 11 \times 53 \]
Testing 3498 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3498 ÷ 2 | divides exactly (1749) |
| 3 | 3498 ÷ 3 | divides exactly (1166) |
| 5 | 3498 ÷ 5 | leaves 3 |
| 7 | 3498 ÷ 7 | leaves 5 |
| 11 | 3498 ÷ 11 | divides exactly (318) |
| 13 | 3498 ÷ 13 | leaves 1 |
| 17 | 3498 ÷ 17 | leaves 13 |
| 19 | 3498 ÷ 19 | leaves 2 |
| 23 | 3498 ÷ 23 | leaves 2 |
| 29 | 3498 ÷ 29 | leaves 18 |
| 31 | 3498 ÷ 31 | leaves 26 |
| 37 | 3498 ÷ 37 | leaves 20 |
Questions
Is 3498 a prime number?
No, 3498 is not a prime number. It is divisible by 2: 3498 = 2 × 1749.
What is the next prime after 3498?
3499.
What is the prime number before 3498?
3491.
What are the factors of 3498?
1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498.