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An integer for a number divided by 5 refers to the quotient obtained when an integer is divided by 5, specifically when the division results in a whole number without any remainder. For example, if you divide 15 by 5, the result is 3, which is an integer. However, if you divide 14 by 5, the result is 2.8, which is not an integer. Thus, for a number to yield an integer when divided by 5, it must be a multiple of 5.

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