Is 1002 a prime number?
No, 1002 is not a prime number. It is divisible by 2: 1002 = 2 × 501.
Is 1002 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 √1002 ≈ 31.65. If none of them divides 1002, it is prime.
- 3
2 divides 1002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1002 = 2 \times 3 \times 167 \]
Testing 1002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1002 ÷ 2 | divides exactly (501) |
| 3 | 1002 ÷ 3 | divides exactly (334) |
| 5 | 1002 ÷ 5 | leaves 2 |
| 7 | 1002 ÷ 7 | leaves 1 |
| 11 | 1002 ÷ 11 | leaves 1 |
| 13 | 1002 ÷ 13 | leaves 1 |
| 17 | 1002 ÷ 17 | leaves 16 |
| 19 | 1002 ÷ 19 | leaves 14 |
| 23 | 1002 ÷ 23 | leaves 13 |
| 29 | 1002 ÷ 29 | leaves 16 |
| 31 | 1002 ÷ 31 | leaves 10 |
Questions
Is 1002 a prime number?
No, 1002 is not a prime number. It is divisible by 2: 1002 = 2 × 501.
What is the next prime after 1002?
1009.
What is the prime number before 1002?
997.
What are the factors of 1002?
1, 2, 3, 6, 167, 334, 501, 1002.