How many positive integers less than 60 have an even number of positive divisors?

Question

asked Oct 11, 2020 47.8k views

2 Answers

Lillian · Answer 1 · 2020-10-17T14:55:53+0000

Answer:

There are 52 such numbers that have even divisors.

Explanation:

All the numbers between 2 and 59 have an EVEN number of positive divisors.

Except the Perfect Squares..

or 4, 9, 16, 25, 36 and 49, which have 3 divisors each.

So:

59 - 2 + 1 =58

Now subtract 58 from 6 (perfect squares)

58- 6=52

Therefore,it means that there are 52 such numbers that have EVEN divisors....