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 | 112 = 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
Answer: As 11 is divisible only by 1 and 11, the number 11 is a prime number. 11 is not a composite number.
Answer: No, 11 is not a perfect square.
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, an expert in Mathematics (PhD). On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.