Question

show that 23 is a prime factor of 2*7*11*11*17*23+23

Answer 1

2*7*11*11*17*23 + 23= 23(7*11*11*17 +1)
since 23 is the common factor, it can be written as product of only two factors
therefore
23 is the prime factor of given problem

Answer 2

23(2×7×11×11×17×1)+1

23(28798)+1

23(28799)

23×28799×1