Is 1071 a prime number?
No, 1071 is not a prime number. It is divisible by 3: 1071 = 3 × 357.
Is 1071 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 √1071 ≈ 32.73. If none of them divides 1071, it is prime.
- 3
3 divides 1071 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1071 = 3^{2} \times 7 \times 17 \]Testing 1071 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1071 ÷ 2 | leaves 1 |
| 3 | 1071 ÷ 3 | divides exactly (357) |
| 5 | 1071 ÷ 5 | leaves 1 |
| 7 | 1071 ÷ 7 | divides exactly (153) |
| 11 | 1071 ÷ 11 | leaves 4 |
| 13 | 1071 ÷ 13 | leaves 5 |
| 17 | 1071 ÷ 17 | divides exactly (63) |
| 19 | 1071 ÷ 19 | leaves 7 |
| 23 | 1071 ÷ 23 | leaves 13 |
| 29 | 1071 ÷ 29 | leaves 27 |
| 31 | 1071 ÷ 31 | leaves 17 |
Questions
Is 1071 a prime number?
No, 1071 is not a prime number. It is divisible by 3: 1071 = 3 × 357.
What is the next prime after 1071?
1087.
What is the prime number before 1071?
1069.
What are the factors of 1071?
1, 3, 7, 9, 17, 21, 51, 63, 119, 153, 357, 1071.