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what remainder is left when the number (13314412157)3 is divided by 11. I know it has something to do with the divisibility rule of 11, although I am unsure what to do next. Any suggestions?

 Oct 25, 2019
 #1
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(13314412157)^3 mod 11 = 8

 Oct 25, 2019
 #2
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how did you get this answer and what does "mod" stand for?

Guest Oct 25, 2019
 #3
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Mod stands for "Modulus". Expand the number inside the bracket: (13314412157)^3 =2,360,293,389,988,491,779,694,252,033,893. Enter this big number into the calculator on this site followed by the "mod" 11, then press the = sign. You should get 8 as the remainder.

 Oct 25, 2019
 #4
avatar+105668 
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I don't offhand see how this helps.

 

 Oct 26, 2019
 #5
avatar+105668 
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This looks more useful 

 

(1 3 3 1 4 4 1 2 1 5 7 )3

 

1+3+4+1+1+7  = 17 

3+1+4+2+5     = 15

17-15=2

 

So when  13314412157 is divided by 11 the remainder is 2

and

when     (13314412157)^3  is divided by 11 the remainder is 2^3 = 8

 Oct 26, 2019

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