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Earn +20 ptsQ: How many positive integers less than 100 have exactly 4 factors?
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What positive integer less than -6?
There are no positive integers less than any negative ones.
What is the Positive integers less than 4?
3, 2, 1
How many positive integers less than 200 are divisible by 2 3 5?
6
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).
How many elements are there in the set of positive integers less than 8?
7 of them.
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