Problem 42415. Divisible by 13

Created by goc3

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>Write a function to determine if a number is divisible by 13. Similar to the number seven, this can be done by a few different methods:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>Form the alternating sum of blocks of three (separated at the comma locations). Apply this recursively until a three-digit number remains. If this number is divisible by 13, then so is the original number. This three-digit number can also be further reduced using one of the other methods below.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>Add four times the last digit to the remaining number. Apply recursively until a two-digit number remains. As before, if this number is divisible by 13, then so is the original number.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"ListParagraph\"/><w:numPr><w:numId w:val=\"2\"/></w:numPr></w:pPr><w:r><w:t>Similar to the previous method, multiply the last digit by nine and subtract it from the remaining number. Apply recursion, etc.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Some of the function restrictions have been lifted.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Previous problem:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42414-divisible-by-12\"><w:r><w:t>divisible by 12</w:t></w:r></w:hyperlink><w:r><w:t>. Next problem:</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://www.mathworks.com/matlabcentral/cody/problems/42416-divisible-by-14\"><w:r><w:t>divisible by 14</w:t></w:r></w:hyperlink><w:r><w:t>.</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>"}]}

Write a function to determine if a number is divisible by 13. Similar to the number seven, this can be done by a few different methods:<ol><li>Form the alternating sum of blocks of three (separated at the comma locations). Apply this recursively until a three-digit number remains. If this number is divisible by 13, then so is the original number. This three-digit number can also be further reduced using one of the other methods below.</li><li>Add four times the last digit to the remaining number. Apply recursively until a two-digit number remains. As before, if this number is divisible by 13, then so is the original number.</li><li>Similar to the previous method, multiply the last digit by nine and subtract it from the remaining number. Apply recursion, etc.</li></ol>Some of the function restrictions have been lifted.Previous problem: <a href = "http://www.mathworks.com/matlabcentral/cody/problems/42414-divisible-by-12">divisible by 12</a>. Next problem: <a href = "http://www.mathworks.com/matlabcentral/cody/problems/42416-divisible-by-14">divisible by 14</a>.

Write a function to determine if a number is divisible by 13. Similar to the number seven, this can be done by a few different methods:

# Form the alternating sum of blocks of three (separated at the comma locations). Apply this recursively until a three-digit number remains. If this number is divisible by 13, then so is the original number. This three-digit number can also be further reduced using one of the other methods below.
# Add four times the last digit to the remaining number. Apply recursively until a two-digit number remains. As before, if this number is divisible by 13, then so is the original number.
# Similar to the previous method, multiply the last digit by nine and subtract it from the remaining number. Apply recursion, etc.

Some of the function restrictions have been lifted.

Previous problem: <http://www.mathworks.com/matlabcentral/cody/problems/42414-divisible-by-12 divisible by 12>. Next problem: <http://www.mathworks.com/matlabcentral/cody/problems/42416-divisible-by-14 divisible by 14>.

Solve

Solution Stats

264 Solutions
68 Solvers

Last Solution submitted on Jun 15, 2021

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Problem Tags

Community Treasure Hunt

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

Start Hunting!

Problem 42415. Divisible by 13

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Problem 42415. Divisible by 13

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers68

Suggested Problems

More from this Author139

Problem Tags

Community Treasure Hunt

Players