What is a compound number 2

What is a compound number? Definition, examples.

Compound number definition

  • The numbers (greater than 1) that are only divided by themselves and by 1 are called prime numbers.
  • A composite number is a natural number whose prime factorization consists of at least two factors.
    They are the counterpart to the prime numbers.

Examples of compound numbers. Examples of numbers that are not composed, but prime numbers.

  • 1 is not a composite number; 1 is not a prime number; so that the composite numbers start with 4;
  • 2 is only divisible by 2 and 1, so 2 is a prime number;
  • 3 is only divided by 3 and 1, so is a prime number;
  • 4 is divisible by 4, 2 and 1, so 4 is not a prime number, it is a composite number; 4 = 22;
  • 6 is divisible by 6, 3, 2 and 1, so 6 is not a prime number, it is a composite number; 6 = 2 × 3;
  • 8 is divisible by 8, 4, 2 and 1, so 8 is not a prime number, it is a composite number; 8 = 23;
  • 9 is divisible by 9, 3 and 1, so 6 is not a prime number, it is a composite number; 9 = 32;
  • 10 is divisible by 10, 5, 2 and 1, so 10 is not a prime number, it is a composite number; 10 = 2x5;
  • 12 is divisible by 12, 6, 4, 3, 2 and 1, so 12 is not a prime number, it is a composite number; 12 = 22 × 3;

Examples of composite numbers up to 100:

  • 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20,
  • 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40,
  • 42, 44, 45, 46, 48, 49, 50, 52, 54, 55, 56, 57, 58, 60,
  • 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80,
  • 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

EUCLID (300 BC) proved that the set of prime numbers is infinite, there is no such thing as the greatest prime number .