Is 4025 a prime number?
No, 4025 is not a prime number. It is divisible by 5: 4025 = 5 × 805.
Is 4025 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 √4025 ≈ 63.44. If none of them divides 4025, it is prime.
- 3
5 divides 4025 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 4025 = 5^{2} \times 7 \times 23 \]Testing 4025 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 4025 ÷ 2 | leaves 1 |
| 3 | 4025 ÷ 3 | leaves 2 |
| 5 | 4025 ÷ 5 | divides exactly (805) |
| 7 | 4025 ÷ 7 | divides exactly (575) |
| 11 | 4025 ÷ 11 | leaves 10 |
| 13 | 4025 ÷ 13 | leaves 8 |
| 17 | 4025 ÷ 17 | leaves 13 |
| 19 | 4025 ÷ 19 | leaves 16 |
| 23 | 4025 ÷ 23 | divides exactly (175) |
| 29 | 4025 ÷ 29 | leaves 23 |
| 31 | 4025 ÷ 31 | leaves 26 |
| 37 | 4025 ÷ 37 | leaves 29 |
Questions
Is 4025 a prime number?
No, 4025 is not a prime number. It is divisible by 5: 4025 = 5 × 805.
What is the next prime after 4025?
4027.
What is the prime number before 4025?
4021.
What are the factors of 4025?
1, 5, 7, 23, 25, 35, 115, 161, 175, 575, 805, 4025.