Is 3993 a prime number?
No, 3993 is not a prime number. It is divisible by 3: 3993 = 3 × 1331.
Is 3993 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 √3993 ≈ 63.19. If none of them divides 3993, it is prime.
- 3
3 divides 3993 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3993 = 3 \times 11^{3} \]Testing 3993 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3993 ÷ 2 | leaves 1 |
| 3 | 3993 ÷ 3 | divides exactly (1331) |
| 5 | 3993 ÷ 5 | leaves 3 |
| 7 | 3993 ÷ 7 | leaves 3 |
| 11 | 3993 ÷ 11 | divides exactly (363) |
| 13 | 3993 ÷ 13 | leaves 2 |
| 17 | 3993 ÷ 17 | leaves 15 |
| 19 | 3993 ÷ 19 | leaves 3 |
| 23 | 3993 ÷ 23 | leaves 14 |
| 29 | 3993 ÷ 29 | leaves 20 |
| 31 | 3993 ÷ 31 | leaves 25 |
| 37 | 3993 ÷ 37 | leaves 34 |
Questions
Is 3993 a prime number?
No, 3993 is not a prime number. It is divisible by 3: 3993 = 3 × 1331.
What is the next prime after 3993?
4001.
What is the prime number before 3993?
3989.
What are the factors of 3993?
1, 3, 11, 33, 121, 363, 1331, 3993.