The sum of a natural number and its square equals the product

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The sum of a natural number and its square equals the product of the first three prime numbers. The number is

1. 2
2. 3
3. 5
4. 6

Correct Option: C

Let the required number be x.
∴ x² + x = 2 × 3 × 5
⇒ x² + x – 30 = 0
⇒ x² + 6x – 5x – 30 = 0
⇒ x (x + 6) – 5 (x + 6) = 0
⇒ (x – 5) (x + 6) = 0
⇒ x = 5