Is 11 a Prime Number or Composite Number [Why & Why not Detailed Guide]

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Created by: Team Maths - Examples.com, Last Updated: August 1, 2024

Is 11 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Is 11 a Prime Number or Composite Number

Is 11 a Prime Number?

Yes – 11 is a prime number.

Why Yes: 11 is a prime number because it meets the prime criteria of having exactly two distinct positive divisors: 1 and itself (11). See any number if it’s prime number or not

Is 11 a Prime Number

Is 11 a Composite Number?

NO – 11 is not a Composite Number

Why not: 11 is not a composite number; it is a prime number because it only has two distinct positive divisors: 1 and itself.

Is 11 a Composite Number

Problem Statements

Property Answer
Is 11 a prime number? Yes
Is 11 a composite number? No
Is 11 a perfect square? No
Factors of 11 1, 11
Multiples of 11 11, 22, 33, 44, 55, 66, 77, 88, 99, 110
Cube Root of 11 Not a whole number
Square of 11 121
Square Root of 11  3.317
Is 11 a Perfect Square? No
Is 11 a Perfect Cube? No
Is 11 an Irrational number No
Is 11 a Rational number Yes
Is 11 a Real number Yes
Is 11 an Integer Yes
Is 11 a Natural number Yes
Is 11 a Whole number Yes
Is 11 an Even or odd number No (11 is an odd number)
Is 11 an Ordinal number Yes
Is 11 a Complex number Yes (as all real numbers are also complex numbers)

What are the factors of 11?

The factors of 11 are 1 and 11. These are the only two numbers that can divide 11 evenly without leaving a remainder, indicating that 11 is a prime number.

What Kind of Number is 11?

  • 11 is a prime number.
  • 11 is one of the odd prime numbers.
  • 11 is considered a significant number in various cultures.
  • A natural number.
  • A positive integer.
  • A prime number.
  • An odd number.
  • A rational number.
  • A whole number.

11 is not only recognized as a prime number but also stands out as one of the notable odd prime numbers. This characteristic aligns it with the common property of prime numbers being indivisible by any number other than 1 and themselves. The number 11, in particular, holds a special place in numerous cultures around the world, often regarded as a number of significance, sometimes associated with spiritual or mystical meanings. Its status as a prime number and its cultural significance highlight the intriguing interplay between mathematics and human belief systems.

FAQS

Is 11 a perfect square?

No, 11 is not a perfect square. A perfect square is a number that can be expressed as the square of an integer, and there is no integer whose square is 11.

Factors of 11?

The factors of 11 are 1 and 11. These are the only numbers that can divide 11 evenly without leaving a remainder, confirming that 11 is a prime number.

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Practice Test

Is 11 a prime number?

Yes

No

It depends on the context

 Not enough information

of 10

What is the result of dividing 11 by any number other than 1 and 11?

An integer

A fraction

Zero

A multiple of 11

of 10

Which of these numbers is a divisor of 11?

1

2

3

4

of 10

If 11 is a prime number, what will be the result of multiplying 11 by itself?

A prime number

A composite number

A fraction

Zero

of 10

Which characteristic does 11 have that makes it a prime number?

 It is even

It is divisible by 2

It has exactly two distinct positive divisors

It can be factored into smaller integers

of 10

Identify the number that is not a prime.

13

17

19

21

of 10

Which of the following statements is true for the number 11?

11 can be divided by any number other than 1 and 11 without leaving a remainder.

11 is divisible by at least two distinct integers.

11 is a number that cannot be factored into smaller integers.

11 is a composite number because it is greater than 10.

of 10

What happens to the product of 11 and any other number if 11 is a prime number?

The product will always be a prime number.

The product will be a composite number.

The product will be a fraction.

The product will be less than 11.

of 10

Which of these numbers is not a prime number?

11

29

31

35

of 10

What is the sum of the smallest prime numbers up to 11?

28

30

32

34

of 10

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