Question

The number of distinct prime factors of the largest 4-digit number is

(A) 2 (B) 3 (C) 5 (D) 11

Answer 1

(B) 3

The largest 4 – digit number = 9999

Prime factors of 9999 = 3 × 3 × 11 × 101

So, 9999 = 3² × 11 × 101

Therefore, distinct prime factors are = 3, 11 and 101

Number of distinct prime factors of the largest 4-digit number is = 3