Is 1296 a prime number?
No, 1296 is not a prime number. It is divisible by 2: 1296 = 2 × 648.
Is 1296 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 √1296 ≈ 36.00. If none of them divides 1296, it is prime.
- 3
2 divides 1296 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1296 = 2^{4} \times 3^{4} \]Testing 1296 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1296 ÷ 2 | divides exactly (648) |
| 3 | 1296 ÷ 3 | divides exactly (432) |
| 5 | 1296 ÷ 5 | leaves 1 |
| 7 | 1296 ÷ 7 | leaves 1 |
| 11 | 1296 ÷ 11 | leaves 9 |
| 13 | 1296 ÷ 13 | leaves 9 |
| 17 | 1296 ÷ 17 | leaves 4 |
| 19 | 1296 ÷ 19 | leaves 4 |
| 23 | 1296 ÷ 23 | leaves 8 |
| 29 | 1296 ÷ 29 | leaves 20 |
| 31 | 1296 ÷ 31 | leaves 25 |
Questions
Is 1296 a prime number?
No, 1296 is not a prime number. It is divisible by 2: 1296 = 2 × 648.
What is the next prime after 1296?
1297.
What is the prime number before 1296?
1291.
What are the factors of 1296?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296.