Is 3021 a prime number?
No, 3021 is not a prime number. It is divisible by 3: 3021 = 3 × 1007.
Is 3021 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 √3021 ≈ 54.96. If none of them divides 3021, it is prime.
- 3
3 divides 3021 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3021 = 3 \times 19 \times 53 \]
Testing 3021 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3021 ÷ 2 | leaves 1 |
| 3 | 3021 ÷ 3 | divides exactly (1007) |
| 5 | 3021 ÷ 5 | leaves 1 |
| 7 | 3021 ÷ 7 | leaves 4 |
| 11 | 3021 ÷ 11 | leaves 7 |
| 13 | 3021 ÷ 13 | leaves 5 |
| 17 | 3021 ÷ 17 | leaves 12 |
| 19 | 3021 ÷ 19 | divides exactly (159) |
| 23 | 3021 ÷ 23 | leaves 8 |
| 29 | 3021 ÷ 29 | leaves 5 |
| 31 | 3021 ÷ 31 | leaves 14 |
| 37 | 3021 ÷ 37 | leaves 24 |
Questions
Is 3021 a prime number?
No, 3021 is not a prime number. It is divisible by 3: 3021 = 3 × 1007.
What is the next prime after 3021?
3023.
What is the prime number before 3021?
3019.
What are the factors of 3021?
1, 3, 19, 53, 57, 159, 1007, 3021.