Question

The number of distinct prime factors
P-II
52.
of the largest 6-digit number is
4
(2) 5
(3)
6
(4) 3​

Answer 1

Given : largest 6-digit number

To Find : The number of distinct prime factors

4

5

6

3

Solution:

Largest 6 Digit number

999999

= 3 x 333333

= 3 x 3 x 111111

= 3 x 3 x 3 x 37037

= 3 x 3 x 3 x 7 x 5291

= 3 x 3 x 3 x 7 x 11 x 481

=  3 x 3 x 3 x 7 x 11 x 13 x 37

Distinct prime factors

3 , 7 , 11 , 13 , 37

The number of distinct prime factors of the largest 6-digit number  is 5

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Answer 2

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(2) 5