Simplify $2\times 15\times 4$ in $mod 7$

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Odinaka_OTyro

Asked: January 7, 20212021-01-07T16:08:01+00:00 2021-01-07T16:08:01+00:00In: Arithmetic, Numbers and Combinatorics

Simplify $2\times 15\times 4$ in $mod 7$

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Simplify $2\times 15\times 4$ in $mod 7$

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Sengemegz · Accepted Answer · 2021-01-08T20:15:38+00:00

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Sengemegz Moderator

2021-01-08T20:15:38+00:00Added an answer on January 8, 2021 at 8:15 pm

$2\times 15\times 4$ in $mod 7$
$\Rightarrow 2\times 15\times 4=120$ in $mod 7$
next look for the number that will multiple 7 to give 120 or a number close to 120 but not more than 120
$\Rightarrow 7 \times 17=119$
What must be added to 119 to make it 120? is 1
$\therefore 2\times 15\times 4\equiv 1$ in $mod 7$

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Simplify $2\times 15\times 4$ in $mod 7$