## Is 84 Prime Number or Composite Number

## Is 84 a Prime Number?

### No – 84 is not a Prime Number.

**Why No:** 84 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Check if any number is prime or not.

## Is 84 a Composite Number?

### Yes – 84 is a Composite Number.

**Why Yes:** 84 is a composite number because it has more than two distinct positive divisors. It is divisible by 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and itself (84).

## Problem Statements

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

Is 84 a prime number? | No |

Is 84 a composite number? | Yes |

Is 84 a perfect square? | No |

Factors of 84 | 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84 |

Multiples of 84 | 84, 168, 252, 336, 420, 504, 588, 672, 756, 840 |

Cube Root of 84 | Approximately 4.379 |

Square of 84 | 7056 |

Square Root of 84 | Approximately 9.165 |

Is 84 a Perfect Cube? | No |

Is 84 an Irrational number | No |

Is 84 a Rational number | Yes |

Is 84 a Real number | Yes |

Is 84 an Integer | Yes |

Is 84 a Natural number | Yes |

Is 84 a Whole number | Yes |

Is 84 an Even or odd number | Yes (84 is an even number) |

Is 84 an Ordinal number | Yes |

Is 84 a Complex number | Yes (as all real numbers are also complex numbers) |

## What are the factors of 84?

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. 84 is not a prime number because it is divisible by numbers other than 1 and itself, demonstrating it has more than two factors. This clarity confirms that it is a composite number, not a prime number

## What Kind of Number is 84?

84 is categorized as a **composite number** because it has more than two distinct positive divisors: **1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42**, and itself.

- 84 is one of the
**even numbers**; it is an even number. - 84 holds significance in various contexts, potentially for its unique properties as a composite number.
- 84 is a
**natural number**. - 84 is a
**positive integer**. - 84 is discussed in the context of composite numbers rather than prime numbers.
- 84 is an
**even number**. - 84 is a
**rational number**. - 84 is a
**whole number**.

84, as a composite number, occupies a different position in mathematics compared to prime numbers. Unlike a prime number that is divisible only by 1 and itself, 84’s divisibility by its multiple factors illustrates its composite nature. Its properties as an even number, a composite, and a natural number make it an interesting figure in various mathematical discussions.

## Nearest Prime Number to 84

The nearest prime numbers to 84 are **83** and **89**. 83 is the closest prime number less than 84, and 89 is the closest prime number greater than 84

## What is the greatest prime factor of 84?

The greatest prime factor of 84 is 7. When 84 is factored into its prime components, it breaks down into 2 × 2 × 3 × 7, with 7 being the largest prime factor.