Is 501 a prime number?
No, 501 is not a prime number. It is divisible by 3: 501 = 3 × 167.
Is 501 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 √501 ≈ 22.38. If none of them divides 501, it is prime.
- 3
3 divides 501 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 501 = 3 \times 167 \]
Testing 501 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 501 ÷ 2 | leaves 1 |
| 3 | 501 ÷ 3 | divides exactly (167) |
| 5 | 501 ÷ 5 | leaves 1 |
| 7 | 501 ÷ 7 | leaves 4 |
| 11 | 501 ÷ 11 | leaves 6 |
| 13 | 501 ÷ 13 | leaves 7 |
| 17 | 501 ÷ 17 | leaves 8 |
| 19 | 501 ÷ 19 | leaves 7 |
Questions
Is 501 a prime number?
No, 501 is not a prime number. It is divisible by 3: 501 = 3 × 167.
What is the next prime after 501?
503.
What is the prime number before 501?
499.
What are the factors of 501?
1, 3, 167, 501.