# Is 300 a Prime Number?

Is 300 a prime number? A prime number is divisible only by 1 and itself, which means it has no other divisor except 1 and the number itself. On the contrary, composite numbers have more than two factors. To determine if 300 is a prime number or composite, we need to divide it with numbers from 1 to 300. To find out the answer to this question * "is 300 is a prime number"* and to gain a detailed understanding of

*Let's learn more.*

**"how and why is 300 a prime number or a composite number?"****Is 300 a prime number? -**No**Is 300 a composite number? -**Yes**Is 300 a perfect square? -**No**Prime Factors of 300 -**2, 3, 5**Factors of 300 -**1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

## Is 300 a Prime Number?

No, 300 is not a prime number. The number 300 is divisible by 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. For a number to be classified as a prime number, it should have exactly two factors. Since 300 has more than two factors, i.e. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300, it is not a prime number.

## Why is 300 not a Prime Number?

To understand whether 300 is composite or prime, it is important to find its factors.

**Factors of 300:** 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Since 300 has more than 2 factors, we can say that 300 is not a prime number.

## Is 300 a Composite Number?

Yes, since 300 has more than two factors i.e. 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. In other words, 300 is a composite number because 300 has more than 2 factors.

**Problem Statements: **

Is 300 a Prime Number? | No |

Is 300 a Composite Number? | Yes |

Square Root of 300 | 17.320508 |

Is 300 an Even Number? | Yes |

Is 300 an Odd Number? | No |

Square of 300 | 90000 |

Is 300 a Perfect Cube? | No |

Is 300 a Perfect Square? | No |

Multiples of 300 | 300, 600, 900, 1200, 1500, 1800, 2100, 2400, 2700, 3000 |

Cube Root of 300 | 6.694317 |

**Fun Facts: **

- Euler discovered a polynomial n
^{2}+ n + 41 that produces prime numbers for values of n that lie between 0 and 39 inclusive. It can generate 40 prime numbers for 0 <= n <= 39. - 5 is the only prime number having the last digit as 5.
- A pair of prime numbers X and Y are said to be twin prime numbers if the absolute difference between them is 2. Example - (311, 313) are twin prime numbers.

**☛ Also Check: **

- Is 56 a Prime Number? - No
- Is 2021 a Prime Number? - No
- Is 59 a Prime Number? - Yes
- Is 14 a Prime Number? - No
- Is 28 a Prime Number? - No
- Is 317 a Prime Number? - Yes
- Is 301 a Prime Number? - No
- Is 553 a Prime Number? - No