Is 7002 a prime number?
No, 7002 is not a prime number. It is divisible by 2: 7002 = 2 × 3501.
Is 7002 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 √7002 ≈ 83.68. If none of them divides 7002, it is prime.
- 3
2 divides 7002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7002 = 2 \times 3^{2} \times 389 \]Testing 7002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7002 ÷ 2 | divides exactly (3501) |
| 3 | 7002 ÷ 3 | divides exactly (2334) |
| 5 | 7002 ÷ 5 | leaves 2 |
| 7 | 7002 ÷ 7 | leaves 2 |
| 11 | 7002 ÷ 11 | leaves 6 |
| 13 | 7002 ÷ 13 | leaves 8 |
| 17 | 7002 ÷ 17 | leaves 15 |
| 19 | 7002 ÷ 19 | leaves 10 |
| 23 | 7002 ÷ 23 | leaves 10 |
| 29 | 7002 ÷ 29 | leaves 13 |
| 31 | 7002 ÷ 31 | leaves 27 |
| 37 | 7002 ÷ 37 | leaves 9 |
Questions
Is 7002 a prime number?
No, 7002 is not a prime number. It is divisible by 2: 7002 = 2 × 3501.
What is the next prime after 7002?
7013.
What is the prime number before 7002?
7001.
What are the factors of 7002?
1, 2, 3, 6, 9, 18, 389, 778, 1167, 2334, 3501, 7002.