Question

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

Options

• 2

• 4

• 6

• 8

Answer 1

The number of distinct prime factors of the smallest 5-digit number is 2.

Explanation:

We know that, smallest 5-digit number = 10000 Prime factors of 10000

2	10000
2	5000
2	2500
2	1250
5	625
5	125
5	25
5	5
	1

i.e. 10000 = 2⁴ × 5⁴ 

Hence, the number of distinct prime factors of the smallest 5-digit number is 2.