1.

Find the number of prime factors of 6300.1. 42. 53. 74. 3

Answer» 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



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