Is 1152 a prime number?
No, 1152 is not a prime number. It is divisible by 2: 1152 = 2 × 576.
Is 1152 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 √1152 ≈ 33.94. If none of them divides 1152, it is prime.
- 3
2 divides 1152 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1152 = 2^{7} \times 3^{2} \]Testing 1152 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1152 ÷ 2 | divides exactly (576) |
| 3 | 1152 ÷ 3 | divides exactly (384) |
| 5 | 1152 ÷ 5 | leaves 2 |
| 7 | 1152 ÷ 7 | leaves 4 |
| 11 | 1152 ÷ 11 | leaves 8 |
| 13 | 1152 ÷ 13 | leaves 8 |
| 17 | 1152 ÷ 17 | leaves 13 |
| 19 | 1152 ÷ 19 | leaves 12 |
| 23 | 1152 ÷ 23 | leaves 2 |
| 29 | 1152 ÷ 29 | leaves 21 |
| 31 | 1152 ÷ 31 | leaves 5 |
Questions
Is 1152 a prime number?
No, 1152 is not a prime number. It is divisible by 2: 1152 = 2 × 576.
What is the next prime after 1152?
1153.
What is the prime number before 1152?
1151.
What are the factors of 1152?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 288, 384, 576, 1152.