Is 1431 a prime number?
No, 1431 is not a prime number. It is divisible by 3: 1431 = 3 × 477.
Is 1431 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 √1431 ≈ 37.83. If none of them divides 1431, it is prime.
- 3
3 divides 1431 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1431 = 3^{3} \times 53 \]Testing 1431 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1431 ÷ 2 | leaves 1 |
| 3 | 1431 ÷ 3 | divides exactly (477) |
| 5 | 1431 ÷ 5 | leaves 1 |
| 7 | 1431 ÷ 7 | leaves 3 |
| 11 | 1431 ÷ 11 | leaves 1 |
| 13 | 1431 ÷ 13 | leaves 1 |
| 17 | 1431 ÷ 17 | leaves 3 |
| 19 | 1431 ÷ 19 | leaves 6 |
| 23 | 1431 ÷ 23 | leaves 5 |
| 29 | 1431 ÷ 29 | leaves 10 |
| 31 | 1431 ÷ 31 | leaves 5 |
| 37 | 1431 ÷ 37 | leaves 25 |
Questions
Is 1431 a prime number?
No, 1431 is not a prime number. It is divisible by 3: 1431 = 3 × 477.
What is the next prime after 1431?
1433.
What is the prime number before 1431?
1429.
What are the factors of 1431?
1, 3, 9, 27, 53, 159, 477, 1431.