Is 3125 a prime number?
No, 3125 is not a prime number. It is divisible by 5: 3125 = 5 × 625.
Is 3125 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 √3125 ≈ 55.90. If none of them divides 3125, it is prime.
- 3
5 divides 3125 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3125 = 5^{5} \]Testing 3125 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3125 ÷ 2 | leaves 1 |
| 3 | 3125 ÷ 3 | leaves 2 |
| 5 | 3125 ÷ 5 | divides exactly (625) |
| 7 | 3125 ÷ 7 | leaves 3 |
| 11 | 3125 ÷ 11 | leaves 1 |
| 13 | 3125 ÷ 13 | leaves 5 |
| 17 | 3125 ÷ 17 | leaves 14 |
| 19 | 3125 ÷ 19 | leaves 9 |
| 23 | 3125 ÷ 23 | leaves 20 |
| 29 | 3125 ÷ 29 | leaves 22 |
| 31 | 3125 ÷ 31 | leaves 25 |
| 37 | 3125 ÷ 37 | leaves 17 |
Questions
Is 3125 a prime number?
No, 3125 is not a prime number. It is divisible by 5: 3125 = 5 × 625.
What is the next prime after 3125?
3137.
What is the prime number before 3125?
3121.
What are the factors of 3125?
1, 5, 25, 125, 625, 3125.