Is 1057 a prime number?
No, 1057 is not a prime number. It is divisible by 7: 1057 = 7 × 151.
Is 1057 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 √1057 ≈ 32.51. If none of them divides 1057, it is prime.
- 3
7 divides 1057 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1057 = 7 \times 151 \]
Testing 1057 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1057 ÷ 2 | leaves 1 |
| 3 | 1057 ÷ 3 | leaves 1 |
| 5 | 1057 ÷ 5 | leaves 2 |
| 7 | 1057 ÷ 7 | divides exactly (151) |
| 11 | 1057 ÷ 11 | leaves 1 |
| 13 | 1057 ÷ 13 | leaves 4 |
| 17 | 1057 ÷ 17 | leaves 3 |
| 19 | 1057 ÷ 19 | leaves 12 |
| 23 | 1057 ÷ 23 | leaves 22 |
| 29 | 1057 ÷ 29 | leaves 13 |
| 31 | 1057 ÷ 31 | leaves 3 |
Questions
Is 1057 a prime number?
No, 1057 is not a prime number. It is divisible by 7: 1057 = 7 × 151.
What is the next prime after 1057?
1061.
What is the prime number before 1057?
1051.
What are the factors of 1057?
1, 7, 151, 1057.