Is 3500 a prime number?
No, 3500 is not a prime number. It is divisible by 2: 3500 = 2 × 1750.
Is 3500 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 √3500 ≈ 59.16. If none of them divides 3500, it is prime.
- 3
2 divides 3500 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3500 = 2^{2} \times 5^{3} \times 7 \]Testing 3500 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3500 ÷ 2 | divides exactly (1750) |
| 3 | 3500 ÷ 3 | leaves 2 |
| 5 | 3500 ÷ 5 | divides exactly (700) |
| 7 | 3500 ÷ 7 | divides exactly (500) |
| 11 | 3500 ÷ 11 | leaves 2 |
| 13 | 3500 ÷ 13 | leaves 3 |
| 17 | 3500 ÷ 17 | leaves 15 |
| 19 | 3500 ÷ 19 | leaves 4 |
| 23 | 3500 ÷ 23 | leaves 4 |
| 29 | 3500 ÷ 29 | leaves 20 |
| 31 | 3500 ÷ 31 | leaves 28 |
| 37 | 3500 ÷ 37 | leaves 22 |
Questions
Is 3500 a prime number?
No, 3500 is not a prime number. It is divisible by 2: 3500 = 2 × 1750.
What is the next prime after 3500?
3511.
What is the prime number before 3500?
3499.
What are the factors of 3500?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500.