Is 301 a prime number?
No, 301 is not a prime number. It is divisible by 7: 301 = 7 × 43.
Is 301 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 √301 ≈ 17.35. If none of them divides 301, it is prime.
- 3
7 divides 301 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 301 = 7 \times 43 \]
Testing 301 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 301 ÷ 2 | leaves 1 |
| 3 | 301 ÷ 3 | leaves 1 |
| 5 | 301 ÷ 5 | leaves 1 |
| 7 | 301 ÷ 7 | divides exactly (43) |
| 11 | 301 ÷ 11 | leaves 4 |
| 13 | 301 ÷ 13 | leaves 2 |
| 17 | 301 ÷ 17 | leaves 12 |
Questions
Is 301 a prime number?
No, 301 is not a prime number. It is divisible by 7: 301 = 7 × 43.
What is the next prime after 301?
307.
What is the prime number before 301?
293.
What are the factors of 301?
1, 7, 43, 301.