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1 solution
When a | b ("a divides b"), we say that there exists a unique integer k such that b = k*a. Suppose 0 | 0, then there exists a unique integer k such that 0 = k ∗ 0 . However any number k will satisfy the equation 0 = k ∗ 0 , therefore k is not unique which violates the definition of divisibility. Thus 0 does not divide 0. That's one reason why we say that 0 0 is undefined; zero divided by zero can literally be equal to any number!