Which of the following statements are true and which are false?
(1) The product of a positive and a negative integer is negative.
(2) The product of two negative Integers is a negative integer.
(1) The product of three negative Integers is a negative integer.
(3) Every Integer when multiplied with -1 gives its multiplicative inverse.
(4) Multiplication on Integers is commutative.
(5) Multiplication on Integers is associative.
(6) Every nonzero integer has a multiplicative inverse as an integer.
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