# Is 315 a Prime Number?

Is 315 a prime number? Numbers having only 2 factors, i.e. 1 and the number itself are known as prime numbers whereas numbers with more than 2 factors are known as composite. The answer to the question whether 315 is a prime or composite is - * "315 is a composite number."* Now, let us find out how and why is 315 a prime number or a composite number?

**Is 315 a prime number? -**No**Is 315 a composite number? -**Yes**Prime Factors of 315 -**3, 5, 7**Factors of 315 -**1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315**Is 315 a perfect square? -**No

## Is 315 a Prime Number?

No, 315 is not a prime number. The number 315 is divisible by 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. For a number to be classified as a prime number, it should have exactly two factors. Since 315 has more than two factors, i.e. 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315, it is not a prime number.

## Why is 315 not a Prime Number?

To understand whether 315 is composite or prime, it is important to find its factors.

**Factors of 315:** 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Since 315 has more than 2 factors, we can say that 315 is not a prime number.

## Is 315 a Composite Number?

Yes, since 315 has more than two factors i.e. 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315. In other words, 315 is a composite number because 315 has more than 2 factors.

**Problem Statements: **

Is 315 a Prime Number? | No |

Is 315 a Composite Number? | Yes |

Square Root of 315 | 17.748239 |

Is 315 an Even Number? | No |

Is 315 an Odd Number? | Yes |

Is 315 a Perfect Cube? | No |

Cube Root of 315 | 6.804079 |

Multiples of 315 | 315, 630, 945, 1260, 1575, 1890, 2205, 2520, 2835, 3150 |

Square of 315 | 99225 |

Is 315 a Perfect Square? | No |

**Fun Facts: **

- Numbers X and Y are said to be coprime if they have only one common factor that is 1.
- 5 is the only prime number having the last digit as 5.
- 1 is neither prime nor composite.

**☛ Also Check: **

- Is 15 a Prime Number? - No
- Is 79 a Prime Number? - Yes
- Is 10 a Prime Number? - No
- Is 19 a Prime Number? - Yes
- Is 42 a Prime Number? - No
- Is 617 a Prime Number? - Yes
- Is 433 a Prime Number? - Yes
- Is 744 a Prime Number? - No

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