Is 1058 a prime number?
No, 1058 is not a prime number. It is divisible by 2: 1058 = 2 × 529.
Is 1058 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 √1058 ≈ 32.53. If none of them divides 1058, it is prime.
- 3
2 divides 1058 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1058 = 2 \times 23^{2} \]Testing 1058 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1058 ÷ 2 | divides exactly (529) |
| 3 | 1058 ÷ 3 | leaves 2 |
| 5 | 1058 ÷ 5 | leaves 3 |
| 7 | 1058 ÷ 7 | leaves 1 |
| 11 | 1058 ÷ 11 | leaves 2 |
| 13 | 1058 ÷ 13 | leaves 5 |
| 17 | 1058 ÷ 17 | leaves 4 |
| 19 | 1058 ÷ 19 | leaves 13 |
| 23 | 1058 ÷ 23 | divides exactly (46) |
| 29 | 1058 ÷ 29 | leaves 14 |
| 31 | 1058 ÷ 31 | leaves 4 |
Questions
Is 1058 a prime number?
No, 1058 is not a prime number. It is divisible by 2: 1058 = 2 × 529.
What is the next prime after 1058?
1061.
What is the prime number before 1058?
1051.
What are the factors of 1058?
1, 2, 23, 46, 529, 1058.