Is 1204 a prime number?
No, 1204 is not a prime number. It is divisible by 2: 1204 = 2 × 602.
Is 1204 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 √1204 ≈ 34.70. If none of them divides 1204, it is prime.
- 3
2 divides 1204 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1204 = 2^{2} \times 7 \times 43 \]Testing 1204 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1204 ÷ 2 | divides exactly (602) |
| 3 | 1204 ÷ 3 | leaves 1 |
| 5 | 1204 ÷ 5 | leaves 4 |
| 7 | 1204 ÷ 7 | divides exactly (172) |
| 11 | 1204 ÷ 11 | leaves 5 |
| 13 | 1204 ÷ 13 | leaves 8 |
| 17 | 1204 ÷ 17 | leaves 14 |
| 19 | 1204 ÷ 19 | leaves 7 |
| 23 | 1204 ÷ 23 | leaves 8 |
| 29 | 1204 ÷ 29 | leaves 15 |
| 31 | 1204 ÷ 31 | leaves 26 |
Questions
Is 1204 a prime number?
No, 1204 is not a prime number. It is divisible by 2: 1204 = 2 × 602.
What is the next prime after 1204?
1213.
What is the prime number before 1204?
1201.
What are the factors of 1204?
1, 2, 4, 7, 14, 28, 43, 86, 172, 301, 602, 1204.