Is 7021 a prime number?
No, 7021 is not a prime number. It is divisible by 7: 7021 = 7 × 1003.
Is 7021 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 √7021 ≈ 83.79. If none of them divides 7021, it is prime.
- 3
7 divides 7021 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 7021 = 7 \times 17 \times 59 \]
Testing 7021 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 7021 ÷ 2 | leaves 1 |
| 3 | 7021 ÷ 3 | leaves 1 |
| 5 | 7021 ÷ 5 | leaves 1 |
| 7 | 7021 ÷ 7 | divides exactly (1003) |
| 11 | 7021 ÷ 11 | leaves 3 |
| 13 | 7021 ÷ 13 | leaves 1 |
| 17 | 7021 ÷ 17 | divides exactly (413) |
| 19 | 7021 ÷ 19 | leaves 10 |
| 23 | 7021 ÷ 23 | leaves 6 |
| 29 | 7021 ÷ 29 | leaves 3 |
| 31 | 7021 ÷ 31 | leaves 15 |
| 37 | 7021 ÷ 37 | leaves 28 |
Questions
Is 7021 a prime number?
No, 7021 is not a prime number. It is divisible by 7: 7021 = 7 × 1003.
What is the next prime after 7021?
7027.
What is the prime number before 7021?
7019.
What are the factors of 7021?
1, 7, 17, 59, 119, 413, 1003, 7021.