Question

Explain why 7 X11 X 13 + 13 is a composite number.
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Answer 1

Step-by-step explanation:

Given 7×11×13+13

=13×(7×11+1)=3×78

This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.

similarly in

7×6×5×4×3 ×2×1+5

=5(7×6×4×3 ×2×1+1)=5×1009

This number is multiple of two integers.Hence it has more than two factors.Hence it is a composite number.

Answer 2

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$\: \: \: 7 \times 11 \times 13 + 13$

$\: \: \: \: \: \: \: : ⟹13(7 \times 11 + 1)$

$\: \: \: \: \: \: \: \: \: \: \: \: \: :⟹ 13 \times 78$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: : ⟹1,014$

$as \: the \: number \: 1014 \: has \: factors \: \\ like \: 7,11and \: 13. \\ hence \:it \: is \: a \: composite \: number.$

$\boxed{ \underline\bold\pink{\:\:\:\:\:\:\:composite \: number \: : - }}$

$\green{a \: number \: having \: factors \: more \: }\\ \blue{than \: two \: is \: called \: a \: composite \: } \\ \red {number}.$

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