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Explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite number.

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asked Apr 2, 2017 in Mathematics by Rohit Singh (61,782 points) ● 35 ● 133 ● 355

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answered Apr 2, 2017 by sforrest072 (157,439 points) ● 60 ● 409 ● 933
selected Apr 2, 2017 by Rohit Singh
 
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Solution :

We have,

7×11×13+13

=13(7×11×1+1)

=13×78

=13×3×2×13

Hence, it is a composite number .

We have,  7×6×5×4×3×2×1+5

=5(7×6×4×3×2×1+1)

=5(1008+1)

=5×1009

Hence, it is a composite number .

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