Problem 44782. Highest powers in factorials

Created by James

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>This is the inverse of the problem</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/44747\"><w:r><w:t>Exponents in Factorials</w:t></w:r></w:hyperlink><w:r><w:t>. Instead of being given a number and finding out the highest exponent it can be raised to for a given factorial, you'll be given a power, and you're being asked to find the highest number that can be raised to that power for a given factorial.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>For example, n=7 and p=2. The highest perfect square (p=2) that can evenly divide 5040 (n=7, and 7!=5040) is 144, or 12^2. Therefore, your output should be y=12.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>As before, you can assume that both n and power are integers greater than 1.</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

23 Solutions
12 Solvers

Last Solution submitted on Aug 27, 2020

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Problem Tags

excited! factorials powers

Community Treasure Hunt

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

Start Hunting!

Problem 44782. Highest powers in factorials

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Suggested Problems

More from this Author80

Problem Tags

Community Treasure Hunt

Problem 44782. Highest powers in factorials

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers12

Suggested Problems

More from this Author80

Problem Tags

Community Treasure Hunt

Players