Is 1701 a prime number?
No, 1701 is not a prime number. It is divisible by 3: 1701 = 3 × 567.
Is 1701 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 √1701 ≈ 41.24. If none of them divides 1701, it is prime.
- 3
3 divides 1701 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1701 = 3^{5} \times 7 \]Testing 1701 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1701 ÷ 2 | leaves 1 |
| 3 | 1701 ÷ 3 | divides exactly (567) |
| 5 | 1701 ÷ 5 | leaves 1 |
| 7 | 1701 ÷ 7 | divides exactly (243) |
| 11 | 1701 ÷ 11 | leaves 7 |
| 13 | 1701 ÷ 13 | leaves 11 |
| 17 | 1701 ÷ 17 | leaves 1 |
| 19 | 1701 ÷ 19 | leaves 10 |
| 23 | 1701 ÷ 23 | leaves 22 |
| 29 | 1701 ÷ 29 | leaves 19 |
| 31 | 1701 ÷ 31 | leaves 27 |
| 37 | 1701 ÷ 37 | leaves 36 |
Questions
Is 1701 a prime number?
No, 1701 is not a prime number. It is divisible by 3: 1701 = 3 × 567.
What is the next prime after 1701?
1709.
What is the prime number before 1701?
1699.
What are the factors of 1701?
1, 3, 7, 9, 21, 27, 63, 81, 189, 243, 567, 1701.