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Question

Explain why 7×6×5×4×3×2×1+5 is a composite number.

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Solution

7×6×5×4×3×2×1+5=5(7×6×4×3×2×1+1)
=5(1008+1)=5×1009
It means that 5 and 1009 are factors of (7×6×5×4×3×2×1+5).
Hence, (7×6×5×4×3×2×1+5) is composite number.


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