How many positive integers less than 2008 have an even number of divisors?

Jmaster10 May 6, 2021

#1**0 **

If they have an odd number of divisors, they're prime, there are 44 prime numbers less than 2008. sqrt(2008)

2008-44 = 1964

=^._.^=

catmg May 6, 2021

#2**+1 **

Hi Catmg,

Your text should read: “If they have an odd number of divisors, they're **perfect squares.**

Also, the question asks:

*How many positive integers less than 2008 have an even number of divisors?*

So ...

\($2007-\lfloor\sqrt{2007}\rfloor = 1963 \)

---------

**Catmg, you have wonderful math skills. You present excellent solutions to a fairly broad range of math questions.**

GA

GingerAle
May 6, 2021