Peculiarities of the Number Zero

Peculiarities of the Number Zero

Zero is a unique

Notes on Zero

• Weird nature: Zero is unusual—neither positive nor negative, like a boundary.

• Not prime: Prime numbers are positive integers with exactly two factors (1 and itself). Zero doesn’t fit.

• Even number: Zero is divisible by 2 → therefore, it’s even.

• Divisibility:
  

  • Zero is a multiple of every integer.

  • It is divisible by 2 (and any nonzero integer).

  • But zero is a factor of only itself.

• Zero factorial (0!): Defined as 1 (memorize this fact).

• Exponents: Any number raised to the zero power equals 1.

• Division by zero: Undefined—cannot be done.

⚡ Key Takeaways:

• Zero is neither positive nor negative.

• Zero is even but not prime.

• 0! = 1 (special definition).

• a⁰ = 1 (for a ≠ 0).

• Division by zero is impossible.