# Is 65 a Prime Number?

Is 65 a prime number? How do you know that 65 is prime or composite? Let us first understand what makes a number 'prime'. If a number has only 2 factors (1 and the number itself), then it is a prime number. If the number has more than 2 factors, then it is composite. Now, what do you think of 65? Is 65 a prime number? * "No, 65 is not a prime number."* Since 65 has more than 2 factors i.e. 1, 5, 13, 65, it is a composite number. Let's study this in detail.

**Is 65 a prime number? -**No**Is 65 a composite number? -**Yes**Prime Factors of 65 -**5, 13**Is 65 a perfect square? -**No**Factors of 65 -**1, 5, 13, 65

## Is 65 a Prime Number?

No, 65 is not a prime number. The number 65 is divisible by 1, 5, 13, 65. For a number to be classified as a prime number, it should have exactly two factors. Since 65 has more than two factors, i.e. 1, 5, 13, 65, it is not a prime number.

## Why is 65 not a Prime Number?

To understand whether 65 is prime or composite, it is important to find its factors.

**Factors of 65:** 1, 5, 13, 65

Since 65 has more than 2 factors, we can say that 65 is not a prime number.

## Is 65 a Composite Number?

Yes, since 65 has more than two factors i.e. 1, 5, 13, 65. In other words, 65 is a composite number because 65 has more than 2 factors.

**Problem Statements: **

Is 65 a Prime Number? | No |

Is 65 a Composite Number? | Yes |

Is 65 an Even Number? | No |

Multiples of 65 | 65, 130, 195, 260, 325, 390, 455, 520, 585, 650 |

Square of 65 | 4225 |

Is 65 a Perfect Square? | No |

Is 65 a Perfect Cube? | No |

Is 65 an Odd Number? | Yes |

Square Root of 65 | 8.062258 |

Cube Root of 65 | 4.02072 |

**Fun Facts: **

- 1 is neither prime nor composite.
- 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
- 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.

**☛ Also Check: **

- Is 45 a Prime Number? - No
- Is 67 a Prime Number? - Yes
- Is 49 a Prime Number? - No
- Is 111 a Prime Number? - No
- Is 91 a Prime Number? - No
- Is 269 a Prime Number? - Yes
- Is 183 a Prime Number? - No
- Is 136 a Prime Number? - No