Is 7008 a prime number?
No, 7008 is not a prime number. It is divisible by 2: 7008 = 2 × 3504.
Is 7008 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 √7008 ≈ 83.71. If none of them divides 7008, it is prime.
- 3
2 divides 7008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7008 = 2^{5} \times 3 \times 73 \]Testing 7008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7008 ÷ 2 | divides exactly (3504) |
| 3 | 7008 ÷ 3 | divides exactly (2336) |
| 5 | 7008 ÷ 5 | leaves 3 |
| 7 | 7008 ÷ 7 | leaves 1 |
| 11 | 7008 ÷ 11 | leaves 1 |
| 13 | 7008 ÷ 13 | leaves 1 |
| 17 | 7008 ÷ 17 | leaves 4 |
| 19 | 7008 ÷ 19 | leaves 16 |
| 23 | 7008 ÷ 23 | leaves 16 |
| 29 | 7008 ÷ 29 | leaves 19 |
| 31 | 7008 ÷ 31 | leaves 2 |
| 37 | 7008 ÷ 37 | leaves 15 |
Questions
Is 7008 a prime number?
No, 7008 is not a prime number. It is divisible by 2: 7008 = 2 × 3504.
What is the next prime after 7008?
7013.
What is the prime number before 7008?
7001.
What are the factors of 7008?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 73, 96, 146, 219, 292, 438, 584, 876, 1168, 1752, 2336, 3504, 7008.