Why are the following numbers composite? Explain: $7 \times 11 \times 17 + 17$.

(N/A) composite number is a positive integer that has at least one divisor other than $1$ and itself.
Given expression: $7 \times 11 \times 17 + 17$.
We can factor out $17$ from the expression:
$7 \times 11 \times 17 + 17 = 17 \times (7 \times 11 + 1)$.
Now,simplify the expression inside the parentheses:
$17 \times (77 + 1) = 17 \times 78$.
Since $78$ can be further factored as $2 \times 39$ or $2 \times 3 \times 13$,the expression becomes:
$17 \times 2 \times 3 \times 13$.
Because the number can be expressed as a product of prime factors other than $1$ and itself,it is a composite number.