When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?



When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8 ?

A. 0

B. 2

C. 1

D. 3

Answer : B. 2


Explanation:


    When n is divided by 8, the remainder is 3 may be written as
    n = 8 k + 3
    Multiply all terms by 6
    6 n = 6(8 k + 3) = 8(6k) + 18
    Write 18 as 16 + 2 since 16 = 8 * 2.
         = 8(6k) + 16 + 2
    Factor 8 out.
         = 8(6k + 2) + 2
    The above indicates that if 6n is divided by 8, the remainder is 2. The answer is B.



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