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### Question

How many prime factors does 4095000 have?

**A**

11.

**B**

12.

**C**

10.

**D**

13.

**Soln.**

**Ans: a**

We can see that $4095000 = 2^3 × 3^2 × 5^4 × 7^1 × 13^1$. The number of prime factors is sum of the powers = 11.