+0

# Positive Integers

0
168
4

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
Sort:

#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
#4
0

heureka's answer is CORRECT.

Guest May 3, 2017

### 8 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details