Numbers Forever
Number Theory
Level
3
The least value of the positive integer for which is not an integer , is
74
64
82
28
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
1000/13 = 76 + remainder 12 ie 76 multiples of 13 in number belonging to set (0,1000) Furthermore, 169 is multiple of 13 but contains other factor also as 13. so it has to be counted as well so what we can do is 1000/169 = 5 + remainder 155 total 13 available in 1000! is 76+5
81.
so 82th division will not be givin an integer.