Is 1681 a prime number?
No, 1681 is not a prime number. It is divisible by 41: 1681 = 41 × 41.
Is 1681 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 √1681 ≈ 41.00. If none of them divides 1681, it is prime.
- 3
41 divides 1681 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1681 = 41^{2} \]Testing 1681 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1681 ÷ 2 | leaves 1 |
| 3 | 1681 ÷ 3 | leaves 1 |
| 5 | 1681 ÷ 5 | leaves 1 |
| 7 | 1681 ÷ 7 | leaves 1 |
| 11 | 1681 ÷ 11 | leaves 9 |
| 13 | 1681 ÷ 13 | leaves 4 |
| 17 | 1681 ÷ 17 | leaves 15 |
| 19 | 1681 ÷ 19 | leaves 9 |
| 23 | 1681 ÷ 23 | leaves 2 |
| 29 | 1681 ÷ 29 | leaves 28 |
| 31 | 1681 ÷ 31 | leaves 7 |
| 37 | 1681 ÷ 37 | leaves 16 |
Questions
Is 1681 a prime number?
No, 1681 is not a prime number. It is divisible by 41: 1681 = 41 × 41.
What is the next prime after 1681?
1693.
What is the prime number before 1681?
1669.
What are the factors of 1681?
1, 41, 1681.