Correct Answer - Option 1 : 7

**Concept used:**

**Factors**: The numbers which are multiplied to get another number.

**Prime Factors**: A **factor** that is a **prime** number and not a composite number is a **p****rime fact****or.**

**Prime number: **A number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).

If a number N = xa × yb × zc, where x, y, z are distinct prime numbers & a, b, c are natural numbers.

⇒ Number of prime factors = (a + b + c)

**Calculation:**

Factor of 6300 = 22 × 32 × 52 × 71

⇒ prime factors = 2, 3, 5, 7

⇒ Number of prime factors = 2 + 2 + 2 + 1 = 7

**∴ The number of prime factors of 6300 is 7.**