Is 11 a prime number or a composite number?

We can classify the whole numbers as prime numbers or composite numbers based on the numbers of 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 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

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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.