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

 May 6, 2021
 #1
avatar+1971 
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

 

=^._.^=

 May 6, 2021
 #2
avatar+2171 
+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. Amazing!

 

 

GA

GingerAle  May 6, 2021
 #3
avatar+1971 
+1

Aww, thank you. :))

I really need to work on rereading my answers and being more careful about questions too. 

 

=^._.^=

catmg  May 6, 2021

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