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When The Integer N Is Divided By 8, The Remainder Is 3. What Is The Remainder If 6n Is Divided By 8?

Answer»

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. 

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. 



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