Is 3523 a prime number?
No, 3523 is not a prime number. It is divisible by 13: 3523 = 13 × 271.
Is 3523 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 √3523 ≈ 59.35. If none of them divides 3523, it is prime.
- 3
13 divides 3523 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3523 = 13 \times 271 \]
Testing 3523 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3523 ÷ 2 | leaves 1 |
| 3 | 3523 ÷ 3 | leaves 1 |
| 5 | 3523 ÷ 5 | leaves 3 |
| 7 | 3523 ÷ 7 | leaves 2 |
| 11 | 3523 ÷ 11 | leaves 3 |
| 13 | 3523 ÷ 13 | divides exactly (271) |
| 17 | 3523 ÷ 17 | leaves 4 |
| 19 | 3523 ÷ 19 | leaves 8 |
| 23 | 3523 ÷ 23 | leaves 4 |
| 29 | 3523 ÷ 29 | leaves 14 |
| 31 | 3523 ÷ 31 | leaves 20 |
| 37 | 3523 ÷ 37 | leaves 8 |
Questions
Is 3523 a prime number?
No, 3523 is not a prime number. It is divisible by 13: 3523 = 13 × 271.
What is the next prime after 3523?
3527.
What is the prime number before 3523?
3517.
What are the factors of 3523?
1, 13, 271, 3523.