## Is 48 a Prime Number or Composite Number

## Is 48 a Prime Number?

## No – 48 is not a prime number.

**Why No:** 48 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Instead, 48 has divisors 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.

## Is 48 a Composite Number?

## YES – 48 is a Composite Number

**Why Yes:** 48 is a composite number because it has more than two distinct positive divisors. It has several divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, and itself (48).

## Problem Statements

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

Is 48 a prime number? | No |

Is 48 a composite number? | Yes |

Is 48 a perfect square? | No |

Factors of 48 | 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 |

Multiples of 48 | 48, 96, 144, 192, 240, 288, 336, 384, 432, 480 |

Cube Root of 48 | Not a whole number |

Square of 48 | 2304 |

Square Root of 48 | 6.928 |

Is 48 a Perfect Cube? | No |

Is 48 an Irrational number | No |

Is 48 a Rational number | Yes |

Is 48 a Real number | Yes |

Is 48 an Integer | Yes |

Is 48 a Natural number | Yes |

Is 48 a Whole number | Yes |

Is 48 an Even or odd number | Yes (48 is an even number) |

Is 48 an Ordinal number | Yes |

Is 48 a Complex number | Yes (as all real numbers are also complex numbers) |

## What are the Factors of 48?

The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. These are the numbers that can divide 48 evenly without leaving a remainder.

## What Kind of Number is 48?

- 48 is not a prime number, but a composite number.
- 48 is one of the even composite numbers.
- 48 might not have the same widespread cultural or spiritual significance as some numbers, but it holds its place in mathematical contexts.
- A natural number.
- A positive integer.
- A composite number.
- An even number.
- A rational number.
- A whole number.

48 is recognized not as a prime number but as a composite number because it has divisors other than 1 and itself, specifically 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. This distinguishes it from prime numbers, which have exactly two distinct positive divisors. While the number 48 may not be as frequently associated with harmony or spiritual significance in various cultures as some numbers, it serves as a reminder of the diversity and utility of numbers in mathematics. Its status as a composite and even number underscores the variety of numerical properties and their applications in different fields, highlighting the integral role of mathematics in understanding the world around us.

## Nearest Prime Number of 48

The nearest prime numbers to 48 are 47 and 53. While 47 is the closest prime number less than 48, 53 is the closest prime number greater than 48.

## FAQS

## Is 48 a Coprime number?

The term “coprime” refers to a pair of numbers, not a single number like 48. Two numbers are considered coprime if their greatest common divisor (GCD) is 1, meaning they share no prime factors other than 1. Whether 48 is coprime depends on it being paired with another number. For example, 48 and 49 are coprime because their only common divisor is 1.

## Write down the positive pair factors of 48?

The positive pair factors of 48 include (1, 48), (2, 24), (3, 16), (4, 12), and (6, 8). These pairs multiply together to result in the number 48.

**Is 48 a perfect square?**

No, 48 is not a perfect square. A perfect square is a number that can be expressed as the square of an integer, and there is no integer whose square is 48.