Primal divisors

Number Theory Level 3

Let n n be a positive integer.

If n n has 2 distinct positive divisors, then n 2 n^2 has how many distinct positive divisors?

4 3 6 5

Leighton Siew by Leighton Siew , 23, Lebanon

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

2 solutions

Swabhiman Nayak
May 22, 2017

According to the question the no. N is prime so it will be easy to check it by taking a prime no

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Rajdeep Ghosh
May 20, 2017

If n n has only two positive divisors then it must be a prime. Then, n 2 n^2 should have three factors: 1,n and n^2.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...