Is 1704 a prime number?
No, 1704 is not a prime number. It is divisible by 2: 1704 = 2 × 852.
Is 1704 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 √1704 ≈ 41.28. If none of them divides 1704, it is prime.
- 3
2 divides 1704 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1704 = 2^{3} \times 3 \times 71 \]Testing 1704 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1704 ÷ 2 | divides exactly (852) |
| 3 | 1704 ÷ 3 | divides exactly (568) |
| 5 | 1704 ÷ 5 | leaves 4 |
| 7 | 1704 ÷ 7 | leaves 3 |
| 11 | 1704 ÷ 11 | leaves 10 |
| 13 | 1704 ÷ 13 | leaves 1 |
| 17 | 1704 ÷ 17 | leaves 4 |
| 19 | 1704 ÷ 19 | leaves 13 |
| 23 | 1704 ÷ 23 | leaves 2 |
| 29 | 1704 ÷ 29 | leaves 22 |
| 31 | 1704 ÷ 31 | leaves 30 |
| 37 | 1704 ÷ 37 | leaves 2 |
Questions
Is 1704 a prime number?
No, 1704 is not a prime number. It is divisible by 2: 1704 = 2 × 852.
What is the next prime after 1704?
1709.
What is the prime number before 1704?
1699.
What are the factors of 1704?
1, 2, 3, 4, 6, 8, 12, 24, 71, 142, 213, 284, 426, 568, 852, 1704.