Is 3502 a prime number?
No, 3502 is not a prime number. It is divisible by 2: 3502 = 2 × 1751.
Is 3502 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 √3502 ≈ 59.18. If none of them divides 3502, it is prime.
- 3
2 divides 3502 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3502 = 2 \times 17 \times 103 \]
Testing 3502 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3502 ÷ 2 | divides exactly (1751) |
| 3 | 3502 ÷ 3 | leaves 1 |
| 5 | 3502 ÷ 5 | leaves 2 |
| 7 | 3502 ÷ 7 | leaves 2 |
| 11 | 3502 ÷ 11 | leaves 4 |
| 13 | 3502 ÷ 13 | leaves 5 |
| 17 | 3502 ÷ 17 | divides exactly (206) |
| 19 | 3502 ÷ 19 | leaves 6 |
| 23 | 3502 ÷ 23 | leaves 6 |
| 29 | 3502 ÷ 29 | leaves 22 |
| 31 | 3502 ÷ 31 | leaves 30 |
| 37 | 3502 ÷ 37 | leaves 24 |
Questions
Is 3502 a prime number?
No, 3502 is not a prime number. It is divisible by 2: 3502 = 2 × 1751.
What is the next prime after 3502?
3511.
What is the prime number before 3502?
3499.
What are the factors of 3502?
1, 2, 17, 34, 103, 206, 1751, 3502.