Is 2002 a prime number?
No, 2002 is not a prime number. It is divisible by 2: 2002 = 2 × 1001.
Is 2002 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 √2002 ≈ 44.74. If none of them divides 2002, it is prime.
- 3
2 divides 2002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 2002 = 2 \times 7 \times 11 \times 13 \]
Testing 2002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 2002 ÷ 2 | divides exactly (1001) |
| 3 | 2002 ÷ 3 | leaves 1 |
| 5 | 2002 ÷ 5 | leaves 2 |
| 7 | 2002 ÷ 7 | divides exactly (286) |
| 11 | 2002 ÷ 11 | divides exactly (182) |
| 13 | 2002 ÷ 13 | divides exactly (154) |
| 17 | 2002 ÷ 17 | leaves 13 |
| 19 | 2002 ÷ 19 | leaves 7 |
| 23 | 2002 ÷ 23 | leaves 1 |
| 29 | 2002 ÷ 29 | leaves 1 |
| 31 | 2002 ÷ 31 | leaves 18 |
| 37 | 2002 ÷ 37 | leaves 4 |
Questions
Is 2002 a prime number?
No, 2002 is not a prime number. It is divisible by 2: 2002 = 2 × 1001.
What is the next prime after 2002?
2003.
What is the prime number before 2002?
1999.
What are the factors of 2002?
1, 2, 7, 11, 13, 14, 22, 26, 77, 91, 143, 154, 182, 286, 1001, 2002.