Correct Answer - Option 3 : 7
Given:
Number is 6300
Concept used:
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)
Explanation:
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