Question

Show that 7×8×9×10×11×17+2 is a composite number.

Answer 1

A composite number is a positive integer that can be formed by multiplying together two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself. Every positive integer is composite, prime, or the unit 1, so the composite numbers are exactly the numbers that are not prime and not a unit.
So 7*8*9*10*11*17+2=942482 and is a composite number

Answer 2

Any number which has more than two factors is called composite number
7×8*9*10*11*17+2
=2(7*4*9*10*11*17+1)
=2*k*1 here k=(7*4*9*10*11*17+1)
2,k, 1 are 3 factors
Therefore
Given number is composite number