Is 3002 a prime number?
No, 3002 is not a prime number. It is divisible by 2: 3002 = 2 × 1501.
Is 3002 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 √3002 ≈ 54.79. If none of them divides 3002, it is prime.
- 3
2 divides 3002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3002 = 2 \times 19 \times 79 \]
Testing 3002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3002 ÷ 2 | divides exactly (1501) |
| 3 | 3002 ÷ 3 | leaves 2 |
| 5 | 3002 ÷ 5 | leaves 2 |
| 7 | 3002 ÷ 7 | leaves 6 |
| 11 | 3002 ÷ 11 | leaves 10 |
| 13 | 3002 ÷ 13 | leaves 12 |
| 17 | 3002 ÷ 17 | leaves 10 |
| 19 | 3002 ÷ 19 | divides exactly (158) |
| 23 | 3002 ÷ 23 | leaves 12 |
| 29 | 3002 ÷ 29 | leaves 15 |
| 31 | 3002 ÷ 31 | leaves 26 |
| 37 | 3002 ÷ 37 | leaves 5 |
Questions
Is 3002 a prime number?
No, 3002 is not a prime number. It is divisible by 2: 3002 = 2 × 1501.
What is the next prime after 3002?
3011.
What is the prime number before 3002?
3001.
What are the factors of 3002?
1, 2, 19, 38, 79, 158, 1501, 3002.