Is 9072 a prime number?
No, 9072 is not a prime number. It is divisible by 2: 9072 = 2 × 4536.
Is 9072 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 √9072 ≈ 95.25. If none of them divides 9072, it is prime.
- 3
2 divides 9072 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 9072 = 2^{4} \times 3^{4} \times 7 \]Testing 9072 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 9072 ÷ 2 | divides exactly (4536) |
| 3 | 9072 ÷ 3 | divides exactly (3024) |
| 5 | 9072 ÷ 5 | leaves 2 |
| 7 | 9072 ÷ 7 | divides exactly (1296) |
| 11 | 9072 ÷ 11 | leaves 8 |
| 13 | 9072 ÷ 13 | leaves 11 |
| 17 | 9072 ÷ 17 | leaves 11 |
| 19 | 9072 ÷ 19 | leaves 9 |
| 23 | 9072 ÷ 23 | leaves 10 |
| 29 | 9072 ÷ 29 | leaves 24 |
| 31 | 9072 ÷ 31 | leaves 20 |
| 37 | 9072 ÷ 37 | leaves 7 |
Questions
Is 9072 a prime number?
No, 9072 is not a prime number. It is divisible by 2: 9072 = 2 × 4536.
What is the next prime after 9072?
9091.
What is the prime number before 9072?
9067.
What are the factors of 9072?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072.