Is 3337 a prime number?
No, 3337 is not a prime number. It is divisible by 47: 3337 = 47 × 71.
Is 3337 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 √3337 ≈ 57.77. If none of them divides 3337, it is prime.
- 3
47 divides 3337 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3337 = 47 \times 71 \]
Testing 3337 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3337 ÷ 2 | leaves 1 |
| 3 | 3337 ÷ 3 | leaves 1 |
| 5 | 3337 ÷ 5 | leaves 2 |
| 7 | 3337 ÷ 7 | leaves 5 |
| 11 | 3337 ÷ 11 | leaves 4 |
| 13 | 3337 ÷ 13 | leaves 9 |
| 17 | 3337 ÷ 17 | leaves 5 |
| 19 | 3337 ÷ 19 | leaves 12 |
| 23 | 3337 ÷ 23 | leaves 2 |
| 29 | 3337 ÷ 29 | leaves 2 |
| 31 | 3337 ÷ 31 | leaves 20 |
| 37 | 3337 ÷ 37 | leaves 7 |
Questions
Is 3337 a prime number?
No, 3337 is not a prime number. It is divisible by 47: 3337 = 47 × 71.
What is the next prime after 3337?
3343.
What is the prime number before 3337?
3331.
What are the factors of 3337?
1, 47, 71, 3337.