Question

Suppose a certain number when divided by 13 yields a remainder of 7. What is the smallest number we would have to subtract from our original number to have a number with a factor of 13?

Answer 1

Subtracting the remainder of 7 from the original number will make the new number divisible by 13 without any remainder, ensuring it has a factor of 13.

Step-by-step explanation:

If a certain number divided by 13 yields a remainder of 7, to have a number with a factor of 13, we need the number to be divisible by 13 without any remainder. The smallest number we ought to subtract from our original number is the current remainder itself, which is 7. By subtracting 7 from the original number, we ensure that the result is divisible by 13, as it will then fall into the set of multiples of 13.