Is 11 a prime number or a composite number?

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.

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 11112 = 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 11The first five multiples of 11 are 11, 22, 33, 44, and 55.
Divisors of 111 and 11
Factors of 111 and 11
Prime factors of 1111 is the only prime factor of 11
Prime divisor of 1111 is the only prime divisor of 11

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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.

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