Is 1673 a prime number?
No, 1673 is not a prime number. It is divisible by 7: 1673 = 7 × 239.
Is 1673 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 √1673 ≈ 40.90. If none of them divides 1673, it is prime.
- 3
7 divides 1673 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 1673 = 7 \times 239 \]
Testing 1673 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 1673 ÷ 2 | leaves 1 |
| 3 | 1673 ÷ 3 | leaves 2 |
| 5 | 1673 ÷ 5 | leaves 3 |
| 7 | 1673 ÷ 7 | divides exactly (239) |
| 11 | 1673 ÷ 11 | leaves 1 |
| 13 | 1673 ÷ 13 | leaves 9 |
| 17 | 1673 ÷ 17 | leaves 7 |
| 19 | 1673 ÷ 19 | leaves 1 |
| 23 | 1673 ÷ 23 | leaves 17 |
| 29 | 1673 ÷ 29 | leaves 20 |
| 31 | 1673 ÷ 31 | leaves 30 |
| 37 | 1673 ÷ 37 | leaves 8 |
Questions
Is 1673 a prime number?
No, 1673 is not a prime number. It is divisible by 7: 1673 = 7 × 239.
What is the next prime after 1673?
1693.
What is the prime number before 1673?
1669.
What are the factors of 1673?
1, 7, 239, 1673.