Is 493 a prime number?
No, 493 is not a prime number. It is divisible by 17: 493 = 17 × 29.
Is 493 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 √493 ≈ 22.20. If none of them divides 493, it is prime.
- 3
17 divides 493 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 493 = 17 \times 29 \]
Testing 493 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 493 ÷ 2 | leaves 1 |
| 3 | 493 ÷ 3 | leaves 1 |
| 5 | 493 ÷ 5 | leaves 3 |
| 7 | 493 ÷ 7 | leaves 3 |
| 11 | 493 ÷ 11 | leaves 9 |
| 13 | 493 ÷ 13 | leaves 12 |
| 17 | 493 ÷ 17 | divides exactly (29) |
| 19 | 493 ÷ 19 | leaves 18 |
Questions
Is 493 a prime number?
No, 493 is not a prime number. It is divisible by 17: 493 = 17 × 29.
What is the next prime after 493?
499.
What is the prime number before 493?
491.
What are the factors of 493?
1, 17, 29, 493.