The number of common prime factors of 75, 60, 105 is(A) 2 (B) 3 (C) 4

1.	The number of common prime factors of 75, 60, 105 is(A) 2 (B) 3 (C) 4 (D) 5
Answer» (A) 2 Prime factors of, 75 = 3 × 5 × 5 60 = 2 × 2 × 3 × 5 105 = 3 × 5 × 7 So, common prime factors in the given three numbers are 3 and 5. Therefore, the number of common prime factors of 75, 60, 105 is 2.

The number of common prime factors of 75, 60, 105 is(A) 2 (B) 3 (C) 4 (D) 5

Answer»

(A) 2

Prime factors of,

75 = 3 × 5 × 5

60 = 2 × 2 × 3 × 5

105 = 3 × 5 × 7

So, common prime factors in the given three numbers are 3 and 5.

Therefore, the number of common prime factors of 75, 60, 105 is 2.