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If $n \equiv 43 \pmod{60}$, then what is the residue of $n$ modulo 6?

 Jul 13, 2015

Best Answer 

 #1
avatar+26396 
+19

 If n43(mod60), then what is the residue of n modulo 6? 

(1)n43=60(2)nx=m6(1)(2)n43n+x=60m643+x=60m6x=60+43m6x=103m6|m=17  lowest positive integerx=103102x=1

 

the residue of n modulo 6 is 1

 

 Jul 14, 2015
 #1
avatar+26396 
+19
Best Answer

 If n43(mod60), then what is the residue of n modulo 6? 

(1)n43=60(2)nx=m6(1)(2)n43n+x=60m643+x=60m6x=60+43m6x=103m6|m=17  lowest positive integerx=103102x=1

 

the residue of n modulo 6 is 1

 

heureka Jul 14, 2015

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