# Is 68 a Prime Number?

Is 68 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 68 a prime number? According to the definition mentioned above, we can say * "No, 68 is not a prime number."* Now let us take a look at the detailed solution of why is 68 a prime number or a composite number?

**Is 68 a prime number? -**No**Is 68 a composite number? -**Yes**Factors of 68 -**1, 2, 4, 17, 34, 68**Prime Factors of 68 -**2, 17**Is 68 a perfect square? -**No

## Is 68 a Prime Number?

No, 68 is not a prime number. The number 68 is divisible by 1, 2, 4, 17, 34, 68. For a number to be classified as a prime number, it should have exactly two factors. Since 68 has more than two factors, i.e. 1, 2, 4, 17, 34, 68, it is not a prime number.

## Why is 68 not a Prime Number?

To understand whether 68 is prime or composite, it is important to find its factors.

**Factors of 68:** 1, 2, 4, 17, 34, 68

Since 68 has more than 2 factors, we can say that 68 is not a prime number.

## Is 68 a Composite Number?

Yes, since 68 has more than two factors i.e. 1, 2, 4, 17, 34, 68. In other words, 68 is a composite number because 68 has more than 2 factors.

**Problem Statements: **

Is 68 a Prime Number? | No |

Is 68 a Composite Number? | Yes |

Cube Root of 68 | 4.081649 |

Is 68 a Perfect Cube? | No |

Square of 68 | 4624 |

Is 68 an Odd Number? | No |

Multiples of 68 | 68, 136, 204, 272, 340, 408, 476, 544, 612, 680 |

Square Root of 68 | 8.246211 |

Is 68 a Perfect Square? | No |

Is 68 an Even Number? | Yes |

**Fun Facts: **

- A perfect square (square number) is always a composite number.
- Euler discovered a polynomial n
^{2}+ n + 41 that produces prime numbers for values of n that lie between 0 and 39 inclusive. It can generate 40 prime numbers for 0 <= n <= 39. - 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

**☛ Also Check: **

- Is 21 a Prime Number? - No
- Is 133 a Prime Number? - No
- Is 55 a Prime Number? - No
- Is 18 a Prime Number? - No
- Is 53 a Prime Number? - Yes
- Is 253 a Prime Number? - No
- Is 241 a Prime Number? - Yes
- Is 625 a Prime Number? - No