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

92 Solutions
31 Solvers

Last Solution submitted on Jan 07, 2021

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 Solvers31

Problem Tags

divisor factor factorisation integer no sqrt allowed number theory

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 44065. Number of even divisors of a given number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Problem 44065. Number of even divisors of a given number

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers31

Suggested Problems

More from this Author9

Problem Tags

Community Treasure Hunt

Players