Is 1066 a prime number?
No, 1066 is not a prime number. It is divisible by 2: 1066 = 2 × 533.
Is 1066 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 √1066 ≈ 32.65. If none of them divides 1066, it is prime.
- 3
2 divides 1066 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1066 = 2 \times 13 \times 41 \]
Testing 1066 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1066 ÷ 2 | divides exactly (533) |
| 3 | 1066 ÷ 3 | leaves 1 |
| 5 | 1066 ÷ 5 | leaves 1 |
| 7 | 1066 ÷ 7 | leaves 2 |
| 11 | 1066 ÷ 11 | leaves 10 |
| 13 | 1066 ÷ 13 | divides exactly (82) |
| 17 | 1066 ÷ 17 | leaves 12 |
| 19 | 1066 ÷ 19 | leaves 2 |
| 23 | 1066 ÷ 23 | leaves 8 |
| 29 | 1066 ÷ 29 | leaves 22 |
| 31 | 1066 ÷ 31 | leaves 12 |
Questions
Is 1066 a prime number?
No, 1066 is not a prime number. It is divisible by 2: 1066 = 2 × 533.
What is the next prime after 1066?
1069.
What is the prime number before 1066?
1063.
What are the factors of 1066?
1, 2, 13, 26, 41, 82, 533, 1066.