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# Positive Integers

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The number of positive integers less than 5000 that are divisible by neither 3 nor 7.

Guest May 3, 2017

#3
+18625
+2

The number of positive integers less than 5000 that are divisible by neither 3 nor 7.

Number  of integers divisible by 3  =   1666

Number of integers divisble by 7  =  714

Number of integers divisible by 3 and 7  =  5000/21    =  238  (Double Counting... )

So.....The number of positive integers less than 5000 that are divisible by neither 3 nor 7 =

4999 - 1666 - 714  + 238   =  2857

heureka  May 3, 2017
edited by heureka  May 3, 2017
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#1
+77035
+2

I believe this is correct.....but.......I'm not totally sure

Number  of integers divisible by 3  =   1666

Number of integers divisble by 7  =  714

Number of integers divisible by 3 and 7  =  5000/21    =  238

So.....The number of positive integers less than 5000 that are divisible by neither 3 nor 7 =

4999 - 1666 - 714  - 238   =

2381

Could someone else check this answer  ??

CPhill  May 3, 2017
#3
+18625
+2

The number of positive integers less than 5000 that are divisible by neither 3 nor 7.

Number  of integers divisible by 3  =   1666

Number of integers divisble by 7  =  714

Number of integers divisible by 3 and 7  =  5000/21    =  238  (Double Counting... )

So.....The number of positive integers less than 5000 that are divisible by neither 3 nor 7 =

4999 - 1666 - 714  + 238   =  2857

heureka  May 3, 2017
edited by heureka  May 3, 2017
#2
+6810
0

This is correct, CPhill :D

MaxWong  May 3, 2017
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