Question
How many positive integers between 1 and 2101 is divisible by a prime number?
How many positive integers between 1 and 2101 is divisible by a prime number?
Answers
See a solution process below:
Explanation:
By definition of a positive integer, every positive integer is divisible by
#2# . Therefore, every positive integer less than 2101 is divisible by at least one prime number in the the set.The formula for finding the number of even integers between
#2# and some positive integer greater than#2# is:
#(n - 2)/2 + 1# Substituting 2100 for
#n# and evaluating the expression gives:
#(2100 - 2)/2 + 1 = 2098/2 + 1 = 1049 + 1 = 1050#
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