Is 3471 a prime number?
No, 3471 is not a prime number. It is divisible by 3: 3471 = 3 × 1157.
Is 3471 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 √3471 ≈ 58.92. If none of them divides 3471, it is prime.
- 3
3 divides 3471 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3471 = 3 \times 13 \times 89 \]
Testing 3471 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3471 ÷ 2 | leaves 1 |
| 3 | 3471 ÷ 3 | divides exactly (1157) |
| 5 | 3471 ÷ 5 | leaves 1 |
| 7 | 3471 ÷ 7 | leaves 6 |
| 11 | 3471 ÷ 11 | leaves 6 |
| 13 | 3471 ÷ 13 | divides exactly (267) |
| 17 | 3471 ÷ 17 | leaves 3 |
| 19 | 3471 ÷ 19 | leaves 13 |
| 23 | 3471 ÷ 23 | leaves 21 |
| 29 | 3471 ÷ 29 | leaves 20 |
| 31 | 3471 ÷ 31 | leaves 30 |
| 37 | 3471 ÷ 37 | leaves 30 |
Questions
Is 3471 a prime number?
No, 3471 is not a prime number. It is divisible by 3: 3471 = 3 × 1157.
What is the next prime after 3471?
3491.
What is the prime number before 3471?
3469.
What are the factors of 3471?
1, 3, 13, 39, 89, 267, 1157, 3471.