## Is 0 a Prime Number or Composite Number

## Is 0 a Prime Number?

### No: 0 is a Prime Number

**Why No:** 0 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Use this Prime number Checker to check for any number.

## Is 0 a Composite Number?

### Yes: 0 is a Composite Number.

**Why Yes:** 0 is not a composite number because composite numbers are greater than 1 and have more than two distinct positive divisors. 0 does not fit this definition as it has an infinite number of divisors and is not greater than 1.

## Problem Statements

Property | Answer |
---|---|

Is 0 a prime number? | No |

Is 0 a composite number? | No |

Is 0 a perfect square? | Yes (0 = 0^2) |

Factors of 0 | All integers except 0 are factors of 0 |

Multiples of 0 | 0 |

Cube Root of 0 | 0 |

Square of 0 | 0 |

Square Root of 0 | 0 |

Is 0 a Perfect Cube? | Yes (0 = 0^3) |

Is 0 an Irrational number | No |

Is 0 a Rational number | Yes |

Is 0 a Real number | Yes |

Is 0 an Integer | Yes |

Is 0 a Natural number | No |

Is 0 a Whole number | Yes |

Is 0 an Even or odd number | Even |

Is 0 an Ordinal number | No |

Is 0 a Complex number | Yes (as all real numbers are complex) |

## What are the factors of 0?

The factors of 0 include all integers except 0 itself, because any number multiplied by 0 is 0. 0 is unique in that it is neither prime nor composite.

## What Kind of Number is 0?

0 is a special number in mathematics due to its unique properties:

- It is neither a prime nor a composite number.
- It is an even number.
- It is not a natural number but is considered a whole number and an integer.
- 0 is a rational number, a real number, and also a complex number.
- It is unique as the only integer that is not positive or negative, making it a neutral number in terms of sign.

0’s unique status in number theory differentiates it significantly from other numbers, making it a fundamental element in mathematical concepts and operations.

## Nearest Prime Number of 0

The nearest prime number to 0 is 2, which is the smallest and first prime number.