Question

The prime factor of 2×7×11×17×23+23 is
Explain the process

Answer 1

2×7×11×17×23+23
= (2×7×11×17 + 1) ×23
= (2618+1) × 23
= 2619×23

now factorize 2619
2619 = 3×3×3×97 = 3³ × 97
2619 × 23 = 3³ × 97 × 23 = 3³ × 23 × 97

So the prime factors are 3, 23 and 97.