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Earn +20 ptsQ: How many positive integers less than 100 have an odd number of positive divisors?
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What are all the positive integers less than 50000 that have 11 divisors?
2. That is the only one. And the 11 divisors are 2k where k = 0, 1, ,2, ... , 10
What are all the integers less than 103 that have an odd number of positive divisors?
1, 4, 9, 16, 25, 36, 49, 64, 81, 100 -- the square numbers.
Which has more elements the set of positive odd integers less than 50 or the set of positive even integers less than 50?
The set of positive odd integers.
Is the set of all integers less than 50 finite?
The set of positive integers less than 50 is finite (there are 49).The set of all integers less than 50 is infinite, because it includes an infinite number of negative numbers.
Which of these integers has an absolute value greater then one?
No integers are specified in the question, although the answer would be any negative number less than -2 or any positive number greater than 2.
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