Question

When 26 is divided by a positive integer N, the remainder is 2. What is the possible sum of all the possible values of N?

Please HELP!!!!

Answer 1

Sum of these values=30

Step-by-step explanation:

If 26 is divided by 12,remainder is 2

On dividing 26 by 8,remainder is 2

On dividing 26 by 6,remainder is 2

Similarly on dividing 26 by 4,we get 2 as the remainder.

So total possible values are 12,8,6,4.

Now,Sum of these values=12+8+6+4

       Sum of these values=30

Answer 2

Answer:

The sum of all possible values of positive integer N is 57

Step-by-step explanation:

Here, we first need to find out the difference of 26 and the remainder 2.

The difference is 24.

Now we need to find out the factors of 24.

They are 1, 2, 3, 4, 6, 8, 12 and 24.

Out of these if we divide 26 by 3,4,6,8,12 and 24 we always get the remainder 2 every time.

So the possible values of N are 3,4,6,8,12 and 24.

The sum of the possible values of N are 3+4+6+8+12+24 which equals 57.

So the answer is 57.

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