Simplify $13\times 13$ in $mod 11$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T16:28:37+00:00 2021-01-07T16:28:37+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $13\times 13$ in $mod 11$

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Simplify $13\times 13$ in $mod 11$

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Sengemegz · Accepted Answer · 2021-01-07T21:10:42+00:00

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Sengemegz Moderator

2021-01-07T21:10:42+00:00Added an answer on January 7, 2021 at 9:10 pm

$13\times 13$ in $mod 11$
$\Rightarrow 13\times 13=169$ in $mod 11$
next look for the number that will multiple 11 to give 169 or a number close to 169 but not more than 169
$\Rightarrow 11 \times 15=165$
What must be added to 165 to make it 169 is 4
$\therefore 13\times 13\equiv 4$ in $mod 11$

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Simplify $13\times 13$ in $mod 11$