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How many positive integers less than 2008 have an even number of divisors?
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).
Why is the square root 14 an irrational number?
It can be proven that it is impossible to find a pair of integers, p and q, such that p/q = sqrt(14).
Which pair of consecutive whole numbers is the square root of 73 between?
The square root of 73 is between 8 and 9.
What is zero pairs?
A zero pair is when one pairs a positive counter and a negative counter.
What numbers can multiply if the answer is 101?
The only pair, with positive integers, is 1 and 101. But otherwise, there are infinitely many sets For example: 0.1*10*1*101 is one possibility
