Is 3998 a prime number?
No, 3998 is not a prime number. It is divisible by 2: 3998 = 2 × 1999.
Is 3998 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 √3998 ≈ 63.23. If none of them divides 3998, it is prime.
- 3
2 divides 3998 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3998 = 2 \times 1999 \]
Testing 3998 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3998 ÷ 2 | divides exactly (1999) |
| 3 | 3998 ÷ 3 | leaves 2 |
| 5 | 3998 ÷ 5 | leaves 3 |
| 7 | 3998 ÷ 7 | leaves 1 |
| 11 | 3998 ÷ 11 | leaves 5 |
| 13 | 3998 ÷ 13 | leaves 7 |
| 17 | 3998 ÷ 17 | leaves 3 |
| 19 | 3998 ÷ 19 | leaves 8 |
| 23 | 3998 ÷ 23 | leaves 19 |
| 29 | 3998 ÷ 29 | leaves 25 |
| 31 | 3998 ÷ 31 | leaves 30 |
| 37 | 3998 ÷ 37 | leaves 2 |
Questions
Is 3998 a prime number?
No, 3998 is not a prime number. It is divisible by 2: 3998 = 2 × 1999.
What is the next prime after 3998?
4001.
What is the prime number before 3998?
3989.
What are the factors of 3998?
1, 2, 1999, 3998.