Is 3400 a prime number?
No, 3400 is not a prime number. It is divisible by 2: 3400 = 2 × 1700.
Is 3400 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 √3400 ≈ 58.31. If none of them divides 3400, it is prime.
- 3
2 divides 3400 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3400 = 2^{3} \times 5^{2} \times 17 \]Testing 3400 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3400 ÷ 2 | divides exactly (1700) |
| 3 | 3400 ÷ 3 | leaves 1 |
| 5 | 3400 ÷ 5 | divides exactly (680) |
| 7 | 3400 ÷ 7 | leaves 5 |
| 11 | 3400 ÷ 11 | leaves 1 |
| 13 | 3400 ÷ 13 | leaves 7 |
| 17 | 3400 ÷ 17 | divides exactly (200) |
| 19 | 3400 ÷ 19 | leaves 18 |
| 23 | 3400 ÷ 23 | leaves 19 |
| 29 | 3400 ÷ 29 | leaves 7 |
| 31 | 3400 ÷ 31 | leaves 21 |
| 37 | 3400 ÷ 37 | leaves 33 |
Questions
Is 3400 a prime number?
No, 3400 is not a prime number. It is divisible by 2: 3400 = 2 × 1700.
What is the next prime after 3400?
3407.
What is the prime number before 3400?
3391.
What are the factors of 3400?
1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400.