Composite number

From Academic Kids

A composite number is a positive integer that can be factored as a product of two or more prime numbers. Every integer greater than one is either a prime number or a composite number. The number one is considered to be neither prime nor composite. The integer 14 is a composite number because it can be factored as 2 × 7.

Properties

  • All even numbers greater than 2 are composite numbers.
  • All composite numbers are non-primes.
  • The smallest composite number is 4.
  • One has <math>(n-1)! + 1\,\,\, \not\equiv \,\, 0 \pmod{n}<math> for all composite numbers <math>n\,\!<math> greater than 4 (Wilson's theorem).
  • Also, <math>(n-1)! \,\,\, \equiv \,\, 0 \pmod{n}<math> for all composite numbers <math>n\,\!<math> greater than 4 (composite theorem).cs:Sloen čslo

de:Zusammengesetzte Zahl es:Nmero compuesto fr:Nombre compos he:מספר פריק id:Bilangan komposit it:Numero composto nl:Samengesteld getal ja:合成数 ru:Составное число sl:Sestavljeno število th:จำนวนประกอบ zh:合数

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