Is 3315 a prime number?
No, 3315 is not a prime number. It is divisible by 3: 3315 = 3 × 1105.
Is 3315 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 √3315 ≈ 57.58. If none of them divides 3315, it is prime.
- 3
3 divides 3315 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3315 = 3 \times 5 \times 13 \times 17 \]
Testing 3315 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3315 ÷ 2 | leaves 1 |
| 3 | 3315 ÷ 3 | divides exactly (1105) |
| 5 | 3315 ÷ 5 | divides exactly (663) |
| 7 | 3315 ÷ 7 | leaves 4 |
| 11 | 3315 ÷ 11 | leaves 4 |
| 13 | 3315 ÷ 13 | divides exactly (255) |
| 17 | 3315 ÷ 17 | divides exactly (195) |
| 19 | 3315 ÷ 19 | leaves 9 |
| 23 | 3315 ÷ 23 | leaves 3 |
| 29 | 3315 ÷ 29 | leaves 9 |
| 31 | 3315 ÷ 31 | leaves 29 |
| 37 | 3315 ÷ 37 | leaves 22 |
Questions
Is 3315 a prime number?
No, 3315 is not a prime number. It is divisible by 3: 3315 = 3 × 1105.
What is the next prime after 3315?
3319.
What is the prime number before 3315?
3313.
What are the factors of 3315?
1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315.