Is 1625 a prime number?
No, 1625 is not a prime number. It is divisible by 5: 1625 = 5 × 325.
Is 1625 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 √1625 ≈ 40.31. If none of them divides 1625, it is prime.
- 3
5 divides 1625 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1625 = 5^{3} \times 13 \]Testing 1625 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1625 ÷ 2 | leaves 1 |
| 3 | 1625 ÷ 3 | leaves 2 |
| 5 | 1625 ÷ 5 | divides exactly (325) |
| 7 | 1625 ÷ 7 | leaves 1 |
| 11 | 1625 ÷ 11 | leaves 8 |
| 13 | 1625 ÷ 13 | divides exactly (125) |
| 17 | 1625 ÷ 17 | leaves 10 |
| 19 | 1625 ÷ 19 | leaves 10 |
| 23 | 1625 ÷ 23 | leaves 15 |
| 29 | 1625 ÷ 29 | leaves 1 |
| 31 | 1625 ÷ 31 | leaves 13 |
| 37 | 1625 ÷ 37 | leaves 34 |
Questions
Is 1625 a prime number?
No, 1625 is not a prime number. It is divisible by 5: 1625 = 5 × 325.
What is the next prime after 1625?
1627.
What is the prime number before 1625?
1621.
What are the factors of 1625?
1, 5, 13, 25, 65, 125, 325, 1625.