Prove or Disprove: for All Integers$$a , b , c \text {, if } a \mid b c , \text { then } a \mid b \text { or } a \mid c \text {. }$$

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The Answer of Prove or Disprove: for All Integers$$a , b , c \text {, if } a \mid b c , \text { then } a \mid b \text { or } a \mid c \text {. }$$

Prove or Disprove: for All Integers $a , b , c \text {, if } a \mid b c , \text { then } a \mid b \text { or } a \mid c \text {. }$