Is 1335 a prime number?
No, 1335 is not a prime number. It is divisible by 3: 1335 = 3 × 445.
Is 1335 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 √1335 ≈ 36.54. If none of them divides 1335, it is prime.
- 3
3 divides 1335 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1335 = 3 \times 5 \times 89 \]
Testing 1335 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1335 ÷ 2 | leaves 1 |
| 3 | 1335 ÷ 3 | divides exactly (445) |
| 5 | 1335 ÷ 5 | divides exactly (267) |
| 7 | 1335 ÷ 7 | leaves 5 |
| 11 | 1335 ÷ 11 | leaves 4 |
| 13 | 1335 ÷ 13 | leaves 9 |
| 17 | 1335 ÷ 17 | leaves 9 |
| 19 | 1335 ÷ 19 | leaves 5 |
| 23 | 1335 ÷ 23 | leaves 1 |
| 29 | 1335 ÷ 29 | leaves 1 |
| 31 | 1335 ÷ 31 | leaves 2 |
Questions
Is 1335 a prime number?
No, 1335 is not a prime number. It is divisible by 3: 1335 = 3 × 445.
What is the next prime after 1335?
1361.
What is the prime number before 1335?
1327.
What are the factors of 1335?
1, 3, 5, 15, 89, 267, 445, 1335.