Odd numbered divisor
Number Theory
Level
pending
How many integers between 50 and 150 inclusive has an odd number of divisors ?
5
4
6
7
8
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
Generally,every number have even number of divisor.Because,if we divide a number with its divisor,then the result is also a divisor of it.But if the divisor and quotient is same,then we can count them one time.So, if a number is perfect squre then,it will have odd number of divisor.
There exist 5 perfect squre between 50-150: 64, 81, 100, 121, 144.