Is 1224 a prime number?
No, 1224 is not a prime number. It is divisible by 2: 1224 = 2 × 612.
Is 1224 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 √1224 ≈ 34.99. If none of them divides 1224, it is prime.
- 3
2 divides 1224 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1224 = 2^{3} \times 3^{2} \times 17 \]Testing 1224 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1224 ÷ 2 | divides exactly (612) |
| 3 | 1224 ÷ 3 | divides exactly (408) |
| 5 | 1224 ÷ 5 | leaves 4 |
| 7 | 1224 ÷ 7 | leaves 6 |
| 11 | 1224 ÷ 11 | leaves 3 |
| 13 | 1224 ÷ 13 | leaves 2 |
| 17 | 1224 ÷ 17 | divides exactly (72) |
| 19 | 1224 ÷ 19 | leaves 8 |
| 23 | 1224 ÷ 23 | leaves 5 |
| 29 | 1224 ÷ 29 | leaves 6 |
| 31 | 1224 ÷ 31 | leaves 15 |
Questions
Is 1224 a prime number?
No, 1224 is not a prime number. It is divisible by 2: 1224 = 2 × 612.
What is the next prime after 1224?
1229.
What is the prime number before 1224?
1223.
What are the factors of 1224?
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 51, 68, 72, 102, 136, 153, 204, 306, 408, 612, 1224.