Question

explain why 7×11×13+13 and 7×6×5×4×3×2×1+5 are composite no.s​

Answer 1

We can write 7×11×13+13

=13(7×11+1)=13(77+1)

=13×78=13×2×39

It shows that we can write the given number as the factors of prime numbers so it is a composite number

Now 7×6×5×4×3×2×1+5

=5(7×6×4×3×2×1+1)

=5(1008+1)

=5×1009

Similarly We can write given number as the factors of prime numbers so it is a composite number.

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Answer 2

composite number is a positive integer which has factors other than 1 and itself.

7×11×13+13

77×13+13

1001+13

1014....

7×6×5×4×3×2×1+5

42×5×4×3×2×1+5

210×4×3×2×1+5

214×3×2×1+5

614×2×1+5

1284×1+5

1284+5

1289......

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