Difference between revisions of "2021 JMPSC Invitationals Problems/Problem 3"

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==Problem==
 
==Problem==
 
There are exactly <math>5</math> even positive integers less than or equal to <math>100</math> that are divisible by <math>x</math>. What is the sum of all possible positive integer values of <math>x</math>?
 
There are exactly <math>5</math> even positive integers less than or equal to <math>100</math> that are divisible by <math>x</math>. What is the sum of all possible positive integer values of <math>x</math>?
 
==Solution==
 
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Revision as of 15:24, 11 July 2021

Problem

There are exactly $5$ even positive integers less than or equal to $100$ that are divisible by $x$. What is the sum of all possible positive integer values of $x$?