We can classify whole numbers as prime numbers or composite numbers based on the numbers of their factors. In this article, we will learn whether 11 is a prime number or a composite number.

Table of Contents

**Is 11 a Prime Number?**

By definition, a prime number has factors 1 and the number itself. So the prime numbers have only two factors.

We know that 11 is divisible by 1 and 11 only.

So the factors of 11 are 1 and 11. ⇒ 11 has two factors.

∴ 11 is a prime number.

**Is 11 a Composite Number?**

We know that a composite number always has more than two factors. As 11 has only two factors: 1 and the number 11 itself, we deduce that

11 is not a composite number.

**Also Read: Is 2 a prime number**

**Facts about 11:**

Is 11 a prime number? | Yes, 11 is a prime number. |

Is 11 a composite number? | No, 11 is not a composite number. |

Square of 11 | 11^{2 }= 11×11 = 121 |

Square root of 11 | √11 = 3.317 |

Cube root of 11 | $\sqrt[3]{11}=2.224$ |

Is 11 a perfect square? | As the square root of 11 is not a whole number, 11 is not a perfect square. |

Is 11 a perfect cube? | As the cube root of 11 is not a whole number, 11 is not a perfect cube. |

Is 11 an even number? | As 11 is not divisible by 2, we deduce that 11 is not an even number. |

Is 11 an odd number? | As 2 does not divide 11, the number 11 is an odd number. |

Multiples of 11 | The first five multiples of 11 are 11, 22, 33, 44, and 55. |

Divisors of 11 | 1 and 11 |

Factors of 11 | 1 and 11 |

Prime factors of 11 | 11 is the only prime factor of 11 |

Prime divisor of 11 | 11 is the only prime divisor of 11 |

## FAQs

**Q1: Is 11 a prime or composite number?**

Answer: As 11 is divisible only by 1 and 11, the number 11 is a prime number. 11 is not a composite number.

**Q2: Is 11 a perfect square number?**

Answer: No, 11 is not a perfect square.

**Q3: Is 11 a composite number?**

Answer: As 11 has only two factors 1 and 11, the number 11 is not a composite number. It is a prime number.

This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.