Is 1004 a prime number?
No, 1004 is not a prime number. It is divisible by 2: 1004 = 2 × 502.
Is 1004 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 √1004 ≈ 31.69. If none of them divides 1004, it is prime.
- 3
2 divides 1004 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1004 = 2^{2} \times 251 \]Testing 1004 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1004 ÷ 2 | divides exactly (502) |
| 3 | 1004 ÷ 3 | leaves 2 |
| 5 | 1004 ÷ 5 | leaves 4 |
| 7 | 1004 ÷ 7 | leaves 3 |
| 11 | 1004 ÷ 11 | leaves 3 |
| 13 | 1004 ÷ 13 | leaves 3 |
| 17 | 1004 ÷ 17 | leaves 1 |
| 19 | 1004 ÷ 19 | leaves 16 |
| 23 | 1004 ÷ 23 | leaves 15 |
| 29 | 1004 ÷ 29 | leaves 18 |
| 31 | 1004 ÷ 31 | leaves 12 |
Questions
Is 1004 a prime number?
No, 1004 is not a prime number. It is divisible by 2: 1004 = 2 × 502.
What is the next prime after 1004?
1009.
What is the prime number before 1004?
997.
What are the factors of 1004?
1, 2, 4, 251, 502, 1004.