Is 3987 a prime number?
No, 3987 is not a prime number. It is divisible by 3: 3987 = 3 × 1329.
Is 3987 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 √3987 ≈ 63.14. If none of them divides 3987, it is prime.
- 3
3 divides 3987 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3987 = 3^{2} \times 443 \]Testing 3987 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3987 ÷ 2 | leaves 1 |
| 3 | 3987 ÷ 3 | divides exactly (1329) |
| 5 | 3987 ÷ 5 | leaves 2 |
| 7 | 3987 ÷ 7 | leaves 4 |
| 11 | 3987 ÷ 11 | leaves 5 |
| 13 | 3987 ÷ 13 | leaves 9 |
| 17 | 3987 ÷ 17 | leaves 9 |
| 19 | 3987 ÷ 19 | leaves 16 |
| 23 | 3987 ÷ 23 | leaves 8 |
| 29 | 3987 ÷ 29 | leaves 14 |
| 31 | 3987 ÷ 31 | leaves 19 |
| 37 | 3987 ÷ 37 | leaves 28 |
Questions
Is 3987 a prime number?
No, 3987 is not a prime number. It is divisible by 3: 3987 = 3 × 1329.
What is the next prime after 3987?
3989.
What is the prime number before 3987?
3967.
What are the factors of 3987?
1, 3, 9, 443, 1329, 3987.