Is 1125 a prime number?
No, 1125 is not a prime number. It is divisible by 3: 1125 = 3 × 375.
Is 1125 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 √1125 ≈ 33.54. If none of them divides 1125, it is prime.
- 3
3 divides 1125 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1125 = 3^{2} \times 5^{3} \]Testing 1125 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1125 ÷ 2 | leaves 1 |
| 3 | 1125 ÷ 3 | divides exactly (375) |
| 5 | 1125 ÷ 5 | divides exactly (225) |
| 7 | 1125 ÷ 7 | leaves 5 |
| 11 | 1125 ÷ 11 | leaves 3 |
| 13 | 1125 ÷ 13 | leaves 7 |
| 17 | 1125 ÷ 17 | leaves 3 |
| 19 | 1125 ÷ 19 | leaves 4 |
| 23 | 1125 ÷ 23 | leaves 21 |
| 29 | 1125 ÷ 29 | leaves 23 |
| 31 | 1125 ÷ 31 | leaves 9 |
Questions
Is 1125 a prime number?
No, 1125 is not a prime number. It is divisible by 3: 1125 = 3 × 375.
What is the next prime after 1125?
1129.
What is the prime number before 1125?
1123.
What are the factors of 1125?
1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125.