Is 4002 a prime number?
No, 4002 is not a prime number. It is divisible by 2: 4002 = 2 × 2001.
Is 4002 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 √4002 ≈ 63.26. If none of them divides 4002, it is prime.
- 3
2 divides 4002 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4002 = 2 \times 3 \times 23 \times 29 \]
Testing 4002 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4002 ÷ 2 | divides exactly (2001) |
| 3 | 4002 ÷ 3 | divides exactly (1334) |
| 5 | 4002 ÷ 5 | leaves 2 |
| 7 | 4002 ÷ 7 | leaves 5 |
| 11 | 4002 ÷ 11 | leaves 9 |
| 13 | 4002 ÷ 13 | leaves 11 |
| 17 | 4002 ÷ 17 | leaves 7 |
| 19 | 4002 ÷ 19 | leaves 12 |
| 23 | 4002 ÷ 23 | divides exactly (174) |
| 29 | 4002 ÷ 29 | divides exactly (138) |
| 31 | 4002 ÷ 31 | leaves 3 |
| 37 | 4002 ÷ 37 | leaves 6 |
Questions
Is 4002 a prime number?
No, 4002 is not a prime number. It is divisible by 2: 4002 = 2 × 2001.
What is the next prime after 4002?
4003.
What is the prime number before 4002?
4001.
What are the factors of 4002?
1, 2, 3, 6, 23, 29, 46, 58, 69, 87, 138, 174, 667, 1334, 2001, 4002.