Solution:

By the meaning of composite number, we know, assuming a number is composite, it implies it has factors other than 1 and itself. In this way, for the given articulation;

7 × 11 × 13 + 13

Accepting 13 as normal factor, we get,

=13(7×11×1+1) = 13(77+1) = 13×78 = 13×3×2×13

Subsequently, 7 × 11 × 13 + 13 is a composite number.

Presently how about we take the other number,

7 × 6 × 5 × 4 × 3 × 2 × 1 + 5

Accepting 5 as a typical factor, we get,

=5(7×6×4×3×2×1+1) = 5(1008+1) = 5×1009

Consequently, 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 is a composite number.