Respuesta :

Consider two integers [tex] x,y [/tex]. We say that [tex] x[/tex] is a multiple of [tex] y [/tex] if [tex] x [/tex] is evenly divisible by [tex] y [/tex]:

[tex] \dfrac{x}{y} = k,\quad x,y,k \in \mathbb{Z} [/tex]

Alternatively, we can say that [tex] x[/tex] is a multiple of [tex] y [/tex] if there exists an integer [tex] k [/tex] such that [tex] x = ky [/tex]

So:

  • 4 is not a multiple of 4, because 4/8 is not an integer.
  • 8 is a multiple of 8, because 8/8=1
  • 20 is not a multple of 8, because 20/8 is not an integer
  • 40 is a multiple of 8, because 40/8=5