Is 1073 a prime number?
No, 1073 is not a prime number. It is divisible by 29: 1073 = 29 × 37.
Is 1073 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 √1073 ≈ 32.76. If none of them divides 1073, it is prime.
- 3
29 divides 1073 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1073 = 29 \times 37 \]
Testing 1073 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1073 ÷ 2 | leaves 1 |
| 3 | 1073 ÷ 3 | leaves 2 |
| 5 | 1073 ÷ 5 | leaves 3 |
| 7 | 1073 ÷ 7 | leaves 2 |
| 11 | 1073 ÷ 11 | leaves 6 |
| 13 | 1073 ÷ 13 | leaves 7 |
| 17 | 1073 ÷ 17 | leaves 2 |
| 19 | 1073 ÷ 19 | leaves 9 |
| 23 | 1073 ÷ 23 | leaves 15 |
| 29 | 1073 ÷ 29 | divides exactly (37) |
| 31 | 1073 ÷ 31 | leaves 19 |
Questions
Is 1073 a prime number?
No, 1073 is not a prime number. It is divisible by 29: 1073 = 29 × 37.
What is the next prime after 1073?
1087.
What is the prime number before 1073?
1069.
What are the factors of 1073?
1, 29, 37, 1073.