Is 1024 a prime number?
No, 1024 is not a prime number. It is divisible by 2: 1024 = 2 × 512.
Is 1024 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 √1024 ≈ 32.00. If none of them divides 1024, it is prime.
- 3
2 divides 1024 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1024 = 2^{10} \]Testing 1024 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1024 ÷ 2 | divides exactly (512) |
| 3 | 1024 ÷ 3 | leaves 1 |
| 5 | 1024 ÷ 5 | leaves 4 |
| 7 | 1024 ÷ 7 | leaves 2 |
| 11 | 1024 ÷ 11 | leaves 1 |
| 13 | 1024 ÷ 13 | leaves 10 |
| 17 | 1024 ÷ 17 | leaves 4 |
| 19 | 1024 ÷ 19 | leaves 17 |
| 23 | 1024 ÷ 23 | leaves 12 |
| 29 | 1024 ÷ 29 | leaves 9 |
| 31 | 1024 ÷ 31 | leaves 1 |
Questions
Is 1024 a prime number?
No, 1024 is not a prime number. It is divisible by 2: 1024 = 2 × 512.
What is the next prime after 1024?
1031.
What is the prime number before 1024?
1021.
What are the factors of 1024?
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024.