Question

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

Options

• 2

• 3

• 5

• 11

Answer 1

The number of distinct prime factors of the largest 4-digit number is 3.

Explanation:

We know that, largest 4-digit number = 9999 Prime factors of 9999

3	9999
3	3333
11	1111
101	101
	1

i.e. 9999 = 3² × 11 × 101

Hence, the number of distinct prime factors of the largest 4-digit number is 3.