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

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Related When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?a)0b)1c)2d)3e)4Correct answer is option 'C'. Can you explain this answer?

When n is divided by 8, the remainder is 3 may be written asn = 8 k + 3multiply 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 C.

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