# what is the remainder when 26 is divided by 6

questioned by administrator @ in Mathematics viewed by 225 People

When n is divided by 12,the remainder is 6.What is the remainder when n is divided by 6?

For some number to be divisible by 12 it has to be divisible by 6 and by 2.
we can write number n as:

n = 6 + 12*k     where k is positive integer.
If we divide n by 12 we will get remainder 6 because 12*k part is divisible by 12.
The part 12*k is as said divisible by 12 which means it is divisible by 6 (as first stated) and it has remainder 0. That leaves us with 6/6 which again has 0 as remainder. That means that number n is divisible by 6

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