A Common Sense Question 3
Number Theory
Level
3
How many integers between 1 and 100 (including 1) evenly divide at least one power of 2?
The answer is 7.
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1 solution
We get the obvious ones after spending some time on it:1,2,4,8,16,32,64.All other integers contain at least one non 2 prime,and all non 2 primes don't divide a power of 2.Look at a common sense question 2.