Abstract


  • d|n means that there is an integer k such as n = dk
  • d is a Factor of n
  • d|n doesn’t involve the actual division. It is a Mathematical Statement that is either True or False, not a numerical value
  • Used frequently under the topic of Relation

Theorems


Theorem 4.3.1

  • A positive divisor of a positive integer
  • For all positive integers a and b, if a|b, then a<=b

Theorem 4.3.2

  • Divisors of 1
  • The only divisors of 1 are 1 and -1

Theorem 4.4.3

  • Transitivity of Divisibility
  • For all integers a, b, c. If a|b and b|c, then a|c