Problem 44065. Number of even divisors of a given number

Created by Jihye Sofia Seo

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Given a Number n, return the number of its even divisors without listing them.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>n=14 ; EvenDivisors={2,14} ; y=2</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>n=68 ; EvenDivisors={2,34,4,68} ; y=4</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Similar problems are:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/42791-number-of-divisors-of-a-given-number\"><w:r><w:t>&lt;https://www.mathworks.com/matlabcentral/cody/problems/42791-number-of-divisors-of-a-given-number</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/1025-divisors-of-an-integer\"><w:r><w:t>&lt;https://www.mathworks.com/matlabcentral/cody/problems/1025-divisors-of-an-integer</w:t></w:r></w:hyperlink><w:r><w:t>&gt;</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>n=64 ; EvenDivisors={2,4,8,16,32} ; y=5</w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

29 Solutions
16 Solvers

Last Solution submitted on Jul 31, 2020

Last 200 Solutions

Problem Comments

2 Comments

2 Comments

Jihye Sofia Seo on 13 Feb 2017

Similar problems are: https://www.mathworks.com/matlabcentral/cody/problems/42791-number-of-divisors-of-a-given-number
https://www.mathworks.com/matlabcentral/cody/problems/1025-divisors-of-an-integer

James on 16 Feb 2017

For n=64, wouldn't the correct answer be 6, since 64 itself is also even? If you're not counting the number itself as a divisor, then the answers above for n=14 and n=68 would be incorrect.

Problem Recent Solvers16

Problem Tags

divisor factor factorisation integer no sqrt allowed number theory

Problem 44065. Number of even divisors of a given number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers16

Suggested Problems

More from this Author9

Problem Tags

Problem 44065. Number of even divisors of a given number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers16

Suggested Problems

More from this Author9

Problem Tags

Players