Is 7000 a prime number?
No, 7000 is not a prime number. It is divisible by 2: 7000 = 2 × 3500.
Is 7000 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 √7000 ≈ 83.67. If none of them divides 7000, it is prime.
- 3
2 divides 7000 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7000 = 2^{3} \times 5^{3} \times 7 \]Testing 7000 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7000 ÷ 2 | divides exactly (3500) |
| 3 | 7000 ÷ 3 | leaves 1 |
| 5 | 7000 ÷ 5 | divides exactly (1400) |
| 7 | 7000 ÷ 7 | divides exactly (1000) |
| 11 | 7000 ÷ 11 | leaves 4 |
| 13 | 7000 ÷ 13 | leaves 6 |
| 17 | 7000 ÷ 17 | leaves 13 |
| 19 | 7000 ÷ 19 | leaves 8 |
| 23 | 7000 ÷ 23 | leaves 8 |
| 29 | 7000 ÷ 29 | leaves 11 |
| 31 | 7000 ÷ 31 | leaves 25 |
| 37 | 7000 ÷ 37 | leaves 7 |
Questions
Is 7000 a prime number?
No, 7000 is not a prime number. It is divisible by 2: 7000 = 2 × 3500.
What is the next prime after 7000?
7001.
What is the prime number before 7000?
6997.
What are the factors of 7000?
1, 2, 4, 5, 7, 8, 10, 14, 20, 25, 28, 35, 40, 50, 56, 70, 100, 125, 140, 175, 200, 250, 280, 350, 500, 700, 875, 1000, 1400, 1750, 3500, 7000.