There are 44 positive integers less than 2,010 that have an odd number of factors.
666 integers.
49
There are 130 positive integers less than 1,000 that are divisible by seven but not divisible by 11
There are 544 positive integers less than 1,000 that are either divisible by two or by 11.
The squares -- nine of them.
28
The only squares of perfect squares in that range are 1, 16, and 81.
There are 1,963 such integers. Every factor of a number has a pair. The only time there will be an odd number of factors is if one factor is repeated, ie the number is a perfect square. So the question is really asking: how many positive integers less than 2008 (in the range 1 to 2007) are not perfect squares. √2007 = 44 and a bit (it lies between 44 and 45) So there are 44 integers less than (or equal to) 2007 which are perfect squares → 2007 - 44 = 1963 integers are not perfect squares in the range 1-2007 and have an even number of factors (divisors).
Integers which are the squares of integers are called perfect squares or square numbers. Perfect squares less than 101 are 1, 4, 9, 16, 25, 36, 49, 64, 81 and 100.
The set of positive odd integers.
The sum of the first positive odd integers less than 101 is 10,000.
the negative integers are below 0, for example -6.
There are 44 positive integers less than 2,010 that have an odd number of factors.
Positive integers are greater than zero. Negative integers are less than zero.
666 integers.
49