Classify as true or false, assuming that a, b, c, and d are whole numbers an $\mathrm { d } \neq 0$
-$$\text { If } \mathrm { d } \mid \mathrm { ab } \text {, then } \mathrm { d } \mid \mathrm { a } \text { or } \mathrm { d } \mid \mathrm { b } \text {. }$$

Question

Quizplus · Accepted Answer

The statement is a common misconception. If $d$ divides $ab$, it does not necessarily mean $d$ must divide $a$ or $b$ individually. For example, if $d = 6$, $a = 2$, and $b = 3$, then $d$ divides $ab = 6$, but $d$ does not divide $a = 2$ or $b = 3$.

Classify as True or False, Assuming That A, B, C d≠0\mathrm { d } \neq 0d=0

Classify as True or False, Assuming That A, B, C $\mathrm { d } \neq 0$