Is 1664 a prime number?
No, 1664 is not a prime number. It is divisible by 2: 1664 = 2 × 832.
Is 1664 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 √1664 ≈ 40.79. If none of them divides 1664, it is prime.
- 3
2 divides 1664 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1664 = 2^{7} \times 13 \]Testing 1664 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1664 ÷ 2 | divides exactly (832) |
| 3 | 1664 ÷ 3 | leaves 2 |
| 5 | 1664 ÷ 5 | leaves 4 |
| 7 | 1664 ÷ 7 | leaves 5 |
| 11 | 1664 ÷ 11 | leaves 3 |
| 13 | 1664 ÷ 13 | divides exactly (128) |
| 17 | 1664 ÷ 17 | leaves 15 |
| 19 | 1664 ÷ 19 | leaves 11 |
| 23 | 1664 ÷ 23 | leaves 8 |
| 29 | 1664 ÷ 29 | leaves 11 |
| 31 | 1664 ÷ 31 | leaves 21 |
| 37 | 1664 ÷ 37 | leaves 36 |
Questions
Is 1664 a prime number?
No, 1664 is not a prime number. It is divisible by 2: 1664 = 2 × 832.
What is the next prime after 1664?
1667.
What is the prime number before 1664?
1663.
What are the factors of 1664?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664.