# Is 48 a Prime Number?

Is 48 a prime number? If a number has only two factors, i.e. 1 and the number itself, it is known as a prime number. In contrast, composite numbers have more than two factors. By this explanation, can we answer the question - is 48 a prime number? According to the definition mentioned above, we can say * "No, 48 is not a prime number."* Now let us take a look at the detailed solution of why is 48 a prime number or a composite number?

**Is 48 a prime number? -**No**Is 48 a composite number? -**Yes**Prime Factors of 48 -**2, 3**Is 48 a perfect square? -**No**Factors of 48 -**1, 2, 3, 4, 6, 8, 12, 16, 24, 48

## Is 48 a Prime Number?

No, 48 is not a prime number. The number 48 is divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. For a number to be classified as a prime number, it should have exactly two factors. Since 48 has more than two factors, i.e. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, it is not a prime number.

## Why is 48 not a Prime Number?

To understand whether 48 is composite or prime, it is important to find its factors.

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

Since 48 has more than 2 factors, we can say that 48 is not a prime number.

## Is 48 a Composite Number?

Yes, since 48 has more than two factors i.e. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. In other words, 48 is a composite number because 48 has more than 2 factors.

**Problem Statements: **

Is 48 a Prime Number? | No |

Is 48 a Composite Number? | Yes |

Is 48 a Perfect Cube? | No |

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

Is 48 a Perfect Square? | No |

Is 48 an Even Number? | Yes |

Square Root of 48 | 6.928203 |

Cube Root of 48 | 3.634236 |

Is 48 an Odd Number? | No |

Square of 48 | 2304 |

**Fun Facts: **

- Prime numbers greater than 5 can be represented in the form of either 6n + 1 or 6n - 1. Example - 71 is a prime number and it can be written as 71 = 6 × 12 - 1
- A perfect square (square number) is always a composite number.
- Numbers X and Y are said to be coprime if they have only one common factor that is 1.

**☛ Also Check: **

- Is 73 a Prime Number? - Yes
- Is 21 a Prime Number? - No
- Is 36 a Prime Number? - No
- Is 3 a Prime Number? - Yes
- Is 45 a Prime Number? - No
- Is 233 a Prime Number? - Yes
- Is 481 a Prime Number? - No
- Is 439 a Prime Number? - Yes

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