Question

A number N^2 has 15 factors. What could be the number of factors of N​

Answer 1

Answer:

3

Step-by-step explanation:

I can think of no better method than hit and trial

1x144

2x72

3x48

4x36

6x24

8x18

9x16

12x12

thus 144 has 15 factors (since 12 repeats )

and root of 144 is 12

so 12 has 3 factors

Also this works for all numbers $p^{2}q$

where p,q are prime integers.