The number of distinct prime factors of the smallest 5-digit number is

1.	The number of distinct prime factors of the smallest 5-digit number is(A) 2 (B) 4 (C) 6 (D) 8
Answer» (A) 2 The smallest 5 – digit number = 10000 Prime factors of 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 So, 10000 = 2⁴ × 5⁴ Therefore, distinct prime factors are = 2 and 5 Number of distinct prime factors of the smallest 5-digit number is = 2

The number of distinct prime factors of the smallest 5-digit number is(A) 2 (B) 4 (C) 6 (D) 8

Answer»

(A) 2

The smallest 5 – digit number = 10000

Prime factors of 10000 = 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5

So, 10000 = 2⁴ × 5⁴

Therefore, distinct prime factors are = 2 and 5

Number of distinct prime factors of the smallest 5-digit number is = 2