Is 8 a prime number? Prime numbers are natural numbers greater than 1 that have exactly two distinct positive divisors. The answer is clear: "8 is not a prime number." In fact, it's the first composite number after 6 and holds special significance in mathematics and beyond. Let's examine why this is the case.
- Is 8 a prime number? - No
- Is 8 a composite number? - Yes
- Is 8 a perfect square? - No
- Is 8 a perfect cube? - Yes (2³ = 8)
- Prime Factors of 8 - 2
- Factors of 8 - 1, 2, 4, 8
Is 8 a Prime or Composite Number?
Is 8 a Prime Number?
No, 8 is not a prime number. It fails the requirements for primality:
- It has more than two distinct positive divisors (1, 2, 4, 8)
- It can be expressed as a product of smaller natural numbers (2 × 4 or 2³)
Why is 8 a Composite Number?
8 holds several special positions in mathematics and beyond:
- It's the first cube of a prime number (2³ = 8)
- It's the sixth Fibonacci number (1, 1, 2, 3, 5, 8)
- It's the atomic number of oxygen (O) on the periodic table
- It's the basis of the octal number system (base-8)
- It's the number of vertices in a cube
Is 8 a Perfect Cube?
Yes, 8 is a perfect cube (2 × 2 × 2 = 8). It's the smallest non-trivial perfect cube.
Problem Statements:
| Property | Answer |
|---|---|
| Is 8 a Prime Number? | No |
| Is 8 a Composite Number? | Yes |
| Is 8 a Perfect Square? | No |
| Is 8 an Even Number? | Yes |
| Multiples of 8 | 8, 16, 24, 32, 40, 48, 56, 64, 72, 80,... |
| Square Root of 8 | ≈2.82843 |
| Square of 8 | 64 |
| Is 8 a Perfect Cube? | Yes |
| Cube Root of 8 | 2 |
| Is 8 an Odd Number? | No |
Fun Facts:
- 8 is considered a lucky number in Chinese culture (sounds like "prosperity")
- There are 8 planets in our solar system (since Pluto's reclassification)
- In chess, the board has 8×8 squares, and each side starts with 8 pawns
- An octagon has 8 sides, and a spider has 8 legs
- The number 8 is symmetrical and represents infinity when laid on its side (∞)
- In computing, a byte consists of 8 bits
- The Eightfold Path is a key concept in Buddhism
- 8 is the maximum number of electrons in an atom's outer shell (octet rule)