Is 5025 a prime number?
No, 5025 is not a prime number. It is divisible by 3: 5025 = 3 × 1675.
Is 5025 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 √5025 ≈ 70.89. If none of them divides 5025, it is prime.
- 3
3 divides 5025 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 5025 = 3 \times 5^{2} \times 67 \]Testing 5025 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 5025 ÷ 2 | leaves 1 |
| 3 | 5025 ÷ 3 | divides exactly (1675) |
| 5 | 5025 ÷ 5 | divides exactly (1005) |
| 7 | 5025 ÷ 7 | leaves 6 |
| 11 | 5025 ÷ 11 | leaves 9 |
| 13 | 5025 ÷ 13 | leaves 7 |
| 17 | 5025 ÷ 17 | leaves 10 |
| 19 | 5025 ÷ 19 | leaves 9 |
| 23 | 5025 ÷ 23 | leaves 11 |
| 29 | 5025 ÷ 29 | leaves 8 |
| 31 | 5025 ÷ 31 | leaves 3 |
| 37 | 5025 ÷ 37 | leaves 30 |
Questions
Is 5025 a prime number?
No, 5025 is not a prime number. It is divisible by 3: 5025 = 3 × 1675.
What is the next prime after 5025?
5039.
What is the prime number before 5025?
5023.
What are the factors of 5025?
1, 3, 5, 15, 25, 67, 75, 201, 335, 1005, 1675, 5025.