# 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.