Is 1008 a prime number?
No, 1008 is not a prime number. It is divisible by 2: 1008 = 2 × 504.
Is 1008 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 √1008 ≈ 31.75. If none of them divides 1008, it is prime.
- 3
2 divides 1008 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1008 = 2^{4} \times 3^{2} \times 7 \]Testing 1008 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1008 ÷ 2 | divides exactly (504) |
| 3 | 1008 ÷ 3 | divides exactly (336) |
| 5 | 1008 ÷ 5 | leaves 3 |
| 7 | 1008 ÷ 7 | divides exactly (144) |
| 11 | 1008 ÷ 11 | leaves 7 |
| 13 | 1008 ÷ 13 | leaves 7 |
| 17 | 1008 ÷ 17 | leaves 5 |
| 19 | 1008 ÷ 19 | leaves 1 |
| 23 | 1008 ÷ 23 | leaves 19 |
| 29 | 1008 ÷ 29 | leaves 22 |
| 31 | 1008 ÷ 31 | leaves 16 |
Questions
Is 1008 a prime number?
No, 1008 is not a prime number. It is divisible by 2: 1008 = 2 × 504.
What is the next prime after 1008?
1009.
What is the prime number before 1008?
997.
What are the factors of 1008?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008.