Is 8021 a prime number?
No, 8021 is not a prime number. It is divisible by 13: 8021 = 13 × 617.
Is 8021 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 √8021 ≈ 89.56. If none of them divides 8021, it is prime.
- 3
13 divides 8021 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 8021 = 13 \times 617 \]
Testing 8021 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 8021 ÷ 2 | leaves 1 |
| 3 | 8021 ÷ 3 | leaves 2 |
| 5 | 8021 ÷ 5 | leaves 1 |
| 7 | 8021 ÷ 7 | leaves 6 |
| 11 | 8021 ÷ 11 | leaves 2 |
| 13 | 8021 ÷ 13 | divides exactly (617) |
| 17 | 8021 ÷ 17 | leaves 14 |
| 19 | 8021 ÷ 19 | leaves 3 |
| 23 | 8021 ÷ 23 | leaves 17 |
| 29 | 8021 ÷ 29 | leaves 17 |
| 31 | 8021 ÷ 31 | leaves 23 |
| 37 | 8021 ÷ 37 | leaves 29 |
Questions
Is 8021 a prime number?
No, 8021 is not a prime number. It is divisible by 13: 8021 = 13 × 617.
What is the next prime after 8021?
8039.
What is the prime number before 8021?
8017.
What are the factors of 8021?
1, 13, 617, 8021.