Is 300 a prime number?
No, 300 is not a prime number. It is divisible by 2: 300 = 2 × 150.
Is 300 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 √300 ≈ 17.32. If none of them divides 300, it is prime.
- 3
2 divides 300 exactly, so it is not prime. Its prime factorisation is
LaTeX source of the formulas on this page
\[ 300 = 2^{2} \times 3 \times 5^{2} \]Testing 300 by the primes up to its square root
| Prime | Division | Result |
|---|---|---|
| 2 | 300 ÷ 2 | divides exactly (150) |
| 3 | 300 ÷ 3 | divides exactly (100) |
| 5 | 300 ÷ 5 | divides exactly (60) |
| 7 | 300 ÷ 7 | leaves 6 |
| 11 | 300 ÷ 11 | leaves 3 |
| 13 | 300 ÷ 13 | leaves 1 |
| 17 | 300 ÷ 17 | leaves 11 |
Questions
Is 300 a prime number?
No, 300 is not a prime number. It is divisible by 2: 300 = 2 × 150.
What is the next prime after 300?
307.
What is the prime number before 300?
293.
What are the factors of 300?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300.