Is 1488 a prime number?
No, 1488 is not a prime number. It is divisible by 2: 1488 = 2 × 744.
Is 1488 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 √1488 ≈ 38.57. If none of them divides 1488, it is prime.
- 3
2 divides 1488 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1488 = 2^{4} \times 3 \times 31 \]Testing 1488 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1488 ÷ 2 | divides exactly (744) |
| 3 | 1488 ÷ 3 | divides exactly (496) |
| 5 | 1488 ÷ 5 | leaves 3 |
| 7 | 1488 ÷ 7 | leaves 4 |
| 11 | 1488 ÷ 11 | leaves 3 |
| 13 | 1488 ÷ 13 | leaves 6 |
| 17 | 1488 ÷ 17 | leaves 9 |
| 19 | 1488 ÷ 19 | leaves 6 |
| 23 | 1488 ÷ 23 | leaves 16 |
| 29 | 1488 ÷ 29 | leaves 9 |
| 31 | 1488 ÷ 31 | divides exactly (48) |
| 37 | 1488 ÷ 37 | leaves 8 |
Questions
Is 1488 a prime number?
No, 1488 is not a prime number. It is divisible by 2: 1488 = 2 × 744.
What is the next prime after 1488?
1489.
What is the prime number before 1488?
1487.
What are the factors of 1488?
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 48, 62, 93, 124, 186, 248, 372, 496, 744, 1488.