Is 3072 a prime number?
No, 3072 is not a prime number. It is divisible by 2: 3072 = 2 × 1536.
Is 3072 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 √3072 ≈ 55.43. If none of them divides 3072, it is prime.
- 3
2 divides 3072 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3072 = 2^{10} \times 3 \]Testing 3072 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3072 ÷ 2 | divides exactly (1536) |
| 3 | 3072 ÷ 3 | divides exactly (1024) |
| 5 | 3072 ÷ 5 | leaves 2 |
| 7 | 3072 ÷ 7 | leaves 6 |
| 11 | 3072 ÷ 11 | leaves 3 |
| 13 | 3072 ÷ 13 | leaves 4 |
| 17 | 3072 ÷ 17 | leaves 12 |
| 19 | 3072 ÷ 19 | leaves 13 |
| 23 | 3072 ÷ 23 | leaves 13 |
| 29 | 3072 ÷ 29 | leaves 27 |
| 31 | 3072 ÷ 31 | leaves 3 |
| 37 | 3072 ÷ 37 | leaves 1 |
Questions
Is 3072 a prime number?
No, 3072 is not a prime number. It is divisible by 2: 3072 = 2 × 1536.
What is the next prime after 3072?
3079.
What is the prime number before 3072?
3067.
What are the factors of 3072?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 3072.