Is 3402 a prime number?
No, 3402 is not a prime number. It is divisible by 2: 3402 = 2 × 1701.
Is 3402 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 √3402 ≈ 58.33. If none of them divides 3402, it is prime.
- 3
2 divides 3402 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 3402 = 2 \times 3^{5} \times 7 \]Testing 3402 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 3402 ÷ 2 | divides exactly (1701) |
| 3 | 3402 ÷ 3 | divides exactly (1134) |
| 5 | 3402 ÷ 5 | leaves 2 |
| 7 | 3402 ÷ 7 | divides exactly (486) |
| 11 | 3402 ÷ 11 | leaves 3 |
| 13 | 3402 ÷ 13 | leaves 9 |
| 17 | 3402 ÷ 17 | leaves 2 |
| 19 | 3402 ÷ 19 | leaves 1 |
| 23 | 3402 ÷ 23 | leaves 21 |
| 29 | 3402 ÷ 29 | leaves 9 |
| 31 | 3402 ÷ 31 | leaves 23 |
| 37 | 3402 ÷ 37 | leaves 35 |
Questions
Is 3402 a prime number?
No, 3402 is not a prime number. It is divisible by 2: 3402 = 2 × 1701.
What is the next prime after 3402?
3407.
What is the prime number before 3402?
3391.
What are the factors of 3402?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162, 189, 243, 378, 486, 567, 1134, 1701, 3402.