Is 1440 a prime number?
No, 1440 is not a prime number. It is divisible by 2: 1440 = 2 × 720.
Is 1440 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 √1440 ≈ 37.95. If none of them divides 1440, it is prime.
- 3
2 divides 1440 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1440 = 2^{5} \times 3^{2} \times 5 \]Testing 1440 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1440 ÷ 2 | divides exactly (720) |
| 3 | 1440 ÷ 3 | divides exactly (480) |
| 5 | 1440 ÷ 5 | divides exactly (288) |
| 7 | 1440 ÷ 7 | leaves 5 |
| 11 | 1440 ÷ 11 | leaves 10 |
| 13 | 1440 ÷ 13 | leaves 10 |
| 17 | 1440 ÷ 17 | leaves 12 |
| 19 | 1440 ÷ 19 | leaves 15 |
| 23 | 1440 ÷ 23 | leaves 14 |
| 29 | 1440 ÷ 29 | leaves 19 |
| 31 | 1440 ÷ 31 | leaves 14 |
| 37 | 1440 ÷ 37 | leaves 34 |
Questions
Is 1440 a prime number?
No, 1440 is not a prime number. It is divisible by 2: 1440 = 2 × 720.
What is the next prime after 1440?
1447.
What is the prime number before 1440?
1439.
What are the factors of 1440?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 32, 36, 40, 45, 48, 60, 72, 80, 90, 96, 120, 144, 160, 180, 240, 288, 360, 480, 720, 1440.