Is 1680 a prime number?
No, 1680 is not a prime number. It is divisible by 2: 1680 = 2 × 840.
Is 1680 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 √1680 ≈ 40.99. If none of them divides 1680, it is prime.
- 3
2 divides 1680 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1680 = 2^{4} \times 3 \times 5 \times 7 \]Testing 1680 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1680 ÷ 2 | divides exactly (840) |
| 3 | 1680 ÷ 3 | divides exactly (560) |
| 5 | 1680 ÷ 5 | divides exactly (336) |
| 7 | 1680 ÷ 7 | divides exactly (240) |
| 11 | 1680 ÷ 11 | leaves 8 |
| 13 | 1680 ÷ 13 | leaves 3 |
| 17 | 1680 ÷ 17 | leaves 14 |
| 19 | 1680 ÷ 19 | leaves 8 |
| 23 | 1680 ÷ 23 | leaves 1 |
| 29 | 1680 ÷ 29 | leaves 27 |
| 31 | 1680 ÷ 31 | leaves 6 |
| 37 | 1680 ÷ 37 | leaves 15 |
Questions
Is 1680 a prime number?
No, 1680 is not a prime number. It is divisible by 2: 1680 = 2 × 840.
What is the next prime after 1680?
1693.
What is the prime number before 1680?
1669.
What are the factors of 1680?
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680.