Is 1006 a prime number?
No, 1006 is not a prime number. It is divisible by 2: 1006 = 2 × 503.
Is 1006 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 √1006 ≈ 31.72. If none of them divides 1006, it is prime.
- 3
2 divides 1006 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1006 = 2 \times 503 \]
Testing 1006 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1006 ÷ 2 | divides exactly (503) |
| 3 | 1006 ÷ 3 | leaves 1 |
| 5 | 1006 ÷ 5 | leaves 1 |
| 7 | 1006 ÷ 7 | leaves 5 |
| 11 | 1006 ÷ 11 | leaves 5 |
| 13 | 1006 ÷ 13 | leaves 5 |
| 17 | 1006 ÷ 17 | leaves 3 |
| 19 | 1006 ÷ 19 | leaves 18 |
| 23 | 1006 ÷ 23 | leaves 17 |
| 29 | 1006 ÷ 29 | leaves 20 |
| 31 | 1006 ÷ 31 | leaves 14 |
Questions
Is 1006 a prime number?
No, 1006 is not a prime number. It is divisible by 2: 1006 = 2 × 503.
What is the next prime after 1006?
1009.
What is the prime number before 1006?
997.
What are the factors of 1006?
1, 2, 503, 1006.