Is 3335 a prime number?
No, 3335 is not a prime number. It is divisible by 5: 3335 = 5 × 667.
Is 3335 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 √3335 ≈ 57.75. If none of them divides 3335, it is prime.
- 3
5 divides 3335 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3335 = 5 \times 23 \times 29 \]
Testing 3335 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3335 ÷ 2 | leaves 1 |
| 3 | 3335 ÷ 3 | leaves 2 |
| 5 | 3335 ÷ 5 | divides exactly (667) |
| 7 | 3335 ÷ 7 | leaves 3 |
| 11 | 3335 ÷ 11 | leaves 2 |
| 13 | 3335 ÷ 13 | leaves 7 |
| 17 | 3335 ÷ 17 | leaves 3 |
| 19 | 3335 ÷ 19 | leaves 10 |
| 23 | 3335 ÷ 23 | divides exactly (145) |
| 29 | 3335 ÷ 29 | divides exactly (115) |
| 31 | 3335 ÷ 31 | leaves 18 |
| 37 | 3335 ÷ 37 | leaves 5 |
Questions
Is 3335 a prime number?
No, 3335 is not a prime number. It is divisible by 5: 3335 = 5 × 667.
What is the next prime after 3335?
3343.
What is the prime number before 3335?
3331.
What are the factors of 3335?
1, 5, 23, 29, 115, 145, 667, 3335.