Is 8008 a prime number?
No, 8008 is not a prime number. It is divisible by 2: 8008 = 2 × 4004.
Is 8008 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 √8008 ≈ 89.49. If none of them divides 8008, it is prime.
- 3
2 divides 8008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8008 = 2^{3} \times 7 \times 11 \times 13 \]Testing 8008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8008 ÷ 2 | divides exactly (4004) |
| 3 | 8008 ÷ 3 | leaves 1 |
| 5 | 8008 ÷ 5 | leaves 3 |
| 7 | 8008 ÷ 7 | divides exactly (1144) |
| 11 | 8008 ÷ 11 | divides exactly (728) |
| 13 | 8008 ÷ 13 | divides exactly (616) |
| 17 | 8008 ÷ 17 | leaves 1 |
| 19 | 8008 ÷ 19 | leaves 9 |
| 23 | 8008 ÷ 23 | leaves 4 |
| 29 | 8008 ÷ 29 | leaves 4 |
| 31 | 8008 ÷ 31 | leaves 10 |
| 37 | 8008 ÷ 37 | leaves 16 |
Questions
Is 8008 a prime number?
No, 8008 is not a prime number. It is divisible by 2: 8008 = 2 × 4004.
What is the next prime after 8008?
8009.
What is the prime number before 8008?
7993.
What are the factors of 8008?
1, 2, 4, 7, 8, 11, 13, 14, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 143, 154, 182, 286, 308, 364, 572, 616, 728, 1001, 1144, 2002, 4004, 8008.