Correct Answer - Option 1 : 153
Calculation:
⇒ (516 – 416) = (58 – 48) × (58 + 48)
⇒ (54 – 44) (54 + 44) (58 + 48)
⇒ (52 – 42) (52 + 42) (54 + 44) (58 + 48)
⇒ 9 × 41 × 881 × (58 + 48)
⇒ 9 × 41 × 881 × 456161
⇒ 9 × 41 × 881 × 17 × 26833
⇒ 26833 is a prime number.
⇒ The smallest three digit number which is a factor of the given number is 17 × 9 = 153
∴ The required result will be 153.