Is 1404 a prime number?
No, 1404 is not a prime number. It is divisible by 2: 1404 = 2 × 702.
Is 1404 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 √1404 ≈ 37.47. If none of them divides 1404, it is prime.
- 3
2 divides 1404 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1404 = 2^{2} \times 3^{3} \times 13 \]Testing 1404 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1404 ÷ 2 | divides exactly (702) |
| 3 | 1404 ÷ 3 | divides exactly (468) |
| 5 | 1404 ÷ 5 | leaves 4 |
| 7 | 1404 ÷ 7 | leaves 4 |
| 11 | 1404 ÷ 11 | leaves 7 |
| 13 | 1404 ÷ 13 | divides exactly (108) |
| 17 | 1404 ÷ 17 | leaves 10 |
| 19 | 1404 ÷ 19 | leaves 17 |
| 23 | 1404 ÷ 23 | leaves 1 |
| 29 | 1404 ÷ 29 | leaves 12 |
| 31 | 1404 ÷ 31 | leaves 9 |
| 37 | 1404 ÷ 37 | leaves 35 |
Questions
Is 1404 a prime number?
No, 1404 is not a prime number. It is divisible by 2: 1404 = 2 × 702.
What is the next prime after 1404?
1409.
What is the prime number before 1404?
1399.
What are the factors of 1404?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 108, 117, 156, 234, 351, 468, 702, 1404.