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What is the smallest number that can be used as a divisor if the remainder of a division operation is 5?

Answer:

In division, the remainder is the part that remains when one integer (the dividend) is divided by another (the divisor). The rules of division state that the remainder must always be less than the divisor.

Step 1: Analyze the Clue

  • Given: In a particular division, the remainder is 5.
  • Objective: Find the smallest divisor that can result in a remainder of 5.

Step 2: Determine the Minimum Divisor

  • According to the rules of division, the remainder must be less than the divisor. Therefore, if the remainder is 5, the smallest possible divisor must be at least 5 + 1 = 6.

Final Answer:

The smallest number that can be used as a divisor when the remainder of the division is 5 is 6.