Five of them.
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As 6 is a positive integer, no negative integer is greater than it.
Because 1. Positive integers are greater than negative integers, and 2. Division by a positive number preserves the order.
-4, -3, -2, -1
No integers are specified in the question, although the answer would be any negative number less than -2 or any positive number greater than 2.
There are no whole negative numbers greater than -1. Therefore, -1 is the highest negative whole integer. It can be thought of this way: When positive integers get larger, an amount is greater, but when negative integers get larger, the amount is less, so -1 is the greatest negative integer.