Is 1025 a prime number?
No, 1025 is not a prime number. It is divisible by 5: 1025 = 5 × 205.
Is 1025 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 √1025 ≈ 32.02. If none of them divides 1025, it is prime.
- 3
5 divides 1025 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1025 = 5^{2} \times 41 \]Testing 1025 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1025 ÷ 2 | leaves 1 |
| 3 | 1025 ÷ 3 | leaves 2 |
| 5 | 1025 ÷ 5 | divides exactly (205) |
| 7 | 1025 ÷ 7 | leaves 3 |
| 11 | 1025 ÷ 11 | leaves 2 |
| 13 | 1025 ÷ 13 | leaves 11 |
| 17 | 1025 ÷ 17 | leaves 5 |
| 19 | 1025 ÷ 19 | leaves 18 |
| 23 | 1025 ÷ 23 | leaves 13 |
| 29 | 1025 ÷ 29 | leaves 10 |
| 31 | 1025 ÷ 31 | leaves 2 |
Questions
Is 1025 a prime number?
No, 1025 is not a prime number. It is divisible by 5: 1025 = 5 × 205.
What is the next prime after 1025?
1031.
What is the prime number before 1025?
1021.
What are the factors of 1025?
1, 5, 25, 41, 205, 1025.