Is 8 a Prime Number or Composite Number [Why & Why not Detailed Guide]

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Created by: Team Maths - Examples.com, Last Updated: August 23, 2024

Is 8 a Prime Number or Composite Number [Why & Why not Detailed Guide]

Is 8 a Prime Number or Composite Number

Is 8 a Prime Number?

No – 8 is not a prime number.

Why No: 8 is not a prime number because it does not meet the prime criteria of having exactly two distinct positive divisors: 1 and itself. Instead, 8 has divisors 1, 2, 4, and 8. Use this Prime number Checker to check for any number.

Is 8 a Prime Number

Is 8 a Composite Number?

YES – 8 is a Composite Number

Why Yes: 8 is a composite number because it does not have only two distinct positive divisors: 1 and itself. Instead, 8 has several divisors: 1, 2, 4, and 8.

Is 8 a Composite Number

Problem Statements

Property Answer
Is 8 a prime number? No
Is 8 a composite number? Yes
Is 8 a perfect square? No
Factors of 8 1, 2, 4, 8
Multiples of 8 8, 16, 24, 32, 40, 48, 56, 64, 72, 80
Cube Root of 8 2 (8 is a perfect cube)
Square of 8 64
Square Root of 8 Approximately 2.828
Is 8 a Perfect Square? No
Is 8 a Perfect Cube? Yes
Is 8 an Irrational number No
Is 8 a Rational number Yes
Is 8 a Real number Yes
Is 8 an Integer Yes
Is 8 a Natural number Yes
Is 8 a Whole number Yes
Is 8 an Even or odd number Yes (8 is an even number)
Is 8 an Ordinal number Yes
Is 8 a Complex number Yes (as all real numbers are also complex numbers)

What are the factors of 8?

The factors of 8 are 1, 2, 4, and 8. These are the numbers that can divide 8 evenly without leaving a remainder.

What Kind of Number is 8?

  • 8 is not a prime number but a composite number.
  • 8 is one of the even composite numbers.
  • 8 is often associated with infinity and balance in various cultures.
  • A natural number.
  • A positive integer.
  • A composite number.
  • An even number.
  • A rational number.
  • A whole number.

8 is recognized not as a prime number but as a composite number because it has divisors other than 1 and itself, specifically 1, 2, and 4. This distinguishes it from prime numbers, which have exactly two distinct positive divisors. The number 8, in particular, is often associated with infinity and balance in many cultures, due to its symmetrical shape. Its status as a composite number and its cultural significance highlight the interesting connections between mathematics and human belief systems.

FAQS

Is 8 a perfect square?

Yes, 8 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 8.

Prime Factors of 8

The prime factors of 8 are 2. The number 8 can be factored into 2^3, meaning it is composed entirely of the prime number 2 multiplied by itself three times.

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Practice Test

Is 8 a prime number or a composite number?

Prime

Composite

Neither

Both

of 10

How many positive divisors does the number 8 have?

2

3

4

5

of 10

Which of the following numbers is a divisor of 8?

3

4

5

7

of 10

What are the prime factors of the number 8?

2 and 4

1 and 8

2 and 2

2 and 2 and 2

of 10

Which of the following statements is true about the number 8?

It has only two divisors

It is divisible by 1, 2, 4, and 8

It is a prime number

 It is neither prime nor composite

of 10

What type of number is 8 based on its divisibility?

Prime

Even

Composite

Odd

of 10

Which statement best describes why 8 is not a prime number?

It is even

It has only one divisor

It has more than two divisors

It is odd

of 10

What makes the number 8 a composite number?

It is an odd number

It is only divisible by 1 and 8

It has divisors other than 1 and itself

It is a prime number

of 10

Which number, when multiplied by 2, results in 8?

3

4

5

6

of 10

Which of these numbers is similar to 8 in terms of being a composite number?

3

5

6

7

of 10

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