Is 1496 a prime number?
No, 1496 is not a prime number. It is divisible by 2: 1496 = 2 × 748.
Is 1496 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 √1496 ≈ 38.68. If none of them divides 1496, it is prime.
- 3
2 divides 1496 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1496 = 2^{3} \times 11 \times 17 \]Testing 1496 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1496 ÷ 2 | divides exactly (748) |
| 3 | 1496 ÷ 3 | leaves 2 |
| 5 | 1496 ÷ 5 | leaves 1 |
| 7 | 1496 ÷ 7 | leaves 5 |
| 11 | 1496 ÷ 11 | divides exactly (136) |
| 13 | 1496 ÷ 13 | leaves 1 |
| 17 | 1496 ÷ 17 | divides exactly (88) |
| 19 | 1496 ÷ 19 | leaves 14 |
| 23 | 1496 ÷ 23 | leaves 1 |
| 29 | 1496 ÷ 29 | leaves 17 |
| 31 | 1496 ÷ 31 | leaves 8 |
| 37 | 1496 ÷ 37 | leaves 16 |
Questions
Is 1496 a prime number?
No, 1496 is not a prime number. It is divisible by 2: 1496 = 2 × 748.
What is the next prime after 1496?
1499.
What is the prime number before 1496?
1493.
What are the factors of 1496?
1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496.