Is 3375 a prime number?
No, 3375 is not a prime number. It is divisible by 3: 3375 = 3 × 1125.
Is 3375 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 √3375 ≈ 58.09. If none of them divides 3375, it is prime.
- 3
3 divides 3375 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3375 = 3^{3} \times 5^{3} \]Testing 3375 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3375 ÷ 2 | leaves 1 |
| 3 | 3375 ÷ 3 | divides exactly (1125) |
| 5 | 3375 ÷ 5 | divides exactly (675) |
| 7 | 3375 ÷ 7 | leaves 1 |
| 11 | 3375 ÷ 11 | leaves 9 |
| 13 | 3375 ÷ 13 | leaves 8 |
| 17 | 3375 ÷ 17 | leaves 9 |
| 19 | 3375 ÷ 19 | leaves 12 |
| 23 | 3375 ÷ 23 | leaves 17 |
| 29 | 3375 ÷ 29 | leaves 11 |
| 31 | 3375 ÷ 31 | leaves 27 |
| 37 | 3375 ÷ 37 | leaves 8 |
Questions
Is 3375 a prime number?
No, 3375 is not a prime number. It is divisible by 3: 3375 = 3 × 1125.
What is the next prime after 3375?
3389.
What is the prime number before 3375?
3373.
What are the factors of 3375?
1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375.