{"id":25603,"date":"2014-11-03T00:43:28","date_gmt":"2014-11-03T04:43:28","guid":{"rendered":"http:\/\/sonderbooks.com\/blog\/?p=25603"},"modified":"2016-02-08T23:22:09","modified_gmt":"2016-02-09T03:22:09","slug":"my-prime-factorization-cardigan","status":"publish","type":"post","link":"https:\/\/sonderbooks.com\/blog\/?p=25603","title":{"rendered":"My Prime Factorization Cardigan"},"content":{"rendered":"<p>I did it!  <a href=\"https:\/\/sonderbooks.com\/blog\/?p=13291\">More than two years after beginning<\/a>, I have finally completed my Prime Factorization Cardigan!<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Wearing-cardigan1.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Wearing-cardigan1.jpg\" alt=\"Wearing cardigan1\" width=\"399\" height=\"249\" class=\"aligncenter size-full wp-image-25605\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Wearing-cardigan1.jpg 399w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Wearing-cardigan1-300x187.jpg 300w\" sizes=\"auto, (max-width: 399px) 100vw, 399px\" \/><\/a><\/p>\n<p>Here&#8217;s how it works!  The stripes each represent a counting number.  They go from left to right, cuff to cuff.  1 is black, the background color (which is a factor of everything).  Then each prime gets a new color.  2 is blue; 3 is pink; 5 is yellow; 7 is purple&#8230;.  <\/p>\n<p>Composite numbers get the combination of colors for their factors.  6 = 2 x 3, so it&#8217;s alternating blue and pink.  10 = 2 x 5, so blue and yellow.  12 = 2 x 2 x 3, so two stitches of blue followed by one of pink&#8230;.    <\/p>\n<p>Perfect powers get multiple rows.  4 = 2 x 2, so two rows of blue; 8 = 2 x 2 x 2, so three rows of blue; 9 = 3 x 3, so two rows of pink.  I think my favorite is 36 = 2 x 2 x 3 x 3, so I did two rows of alternating blue and pink.<\/p>\n<p>I put labels in one picture, to give the pattern:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Labeled-Cardigan1-18.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Labeled-Cardigan1-18.jpg\" alt=\"Labeled Cardigan1-18\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25611\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Labeled-Cardigan1-18.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Labeled-Cardigan1-18-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>As for details, I used Plymouth Encore yarn, 75% acrylic, 25% wool &#8212; it is not expensive and comes in many colors.  I looked online for a pattern knitted cuff-to-cuff, and found this <a href=\"http:\/\/www.freepatterns.com\/detail.html?code=FK00333&#038;cat_id=378\">Rainbow Lace Jacket<\/a>.  I of course changed the colors.  I knitted the stripes in garter stitch, and the rows in between the stripes in black stockinette.<\/p>\n<p>And now for more pictures!  First, an overall look at the sweater again:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Front.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Front.jpg\" alt=\"PF Cardigan Front\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25615\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Front.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Front-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>And with the arms down:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-arms-down.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-arms-down.jpg\" alt=\"PF Cardigan arms down\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25618\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-arms-down.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-arms-down-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>And the back:  (I decided to make the numbers go two-dimensionally across the sweater, from cuff to cuff.  So the back is a mirror of the front.)<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Back.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Back.jpg\" alt=\"PF Cardigan Back\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25619\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Back.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PF-Cardigan-Back-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>And here&#8217;s more detail, Numbers 17 to 32 (The powers of 2 are easy to spot!  They are the multiple rows of blue.):<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan17-32.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan17-32.jpg\" alt=\"Cardigan17-32\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25621\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan17-32.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan17-32-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>Then Numbers 26 to 38:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan26-38.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan26-38.jpg\" alt=\"Cardigan26-38\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25622\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan26-38.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan26-38-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>34 to 47:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan34-47.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan34-47.jpg\" alt=\"Cardigan34-47\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25623\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan34-47.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan34-47-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>41 to 58:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan41-58.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan41-58.jpg\" alt=\"Cardigan41-58\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25624\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan41-58.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan41-58-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>51 to 63:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan51-63.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan51-63.jpg\" alt=\"Cardigan51-63\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25625\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan51-63.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan51-63-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>And finally, 64 to 78:<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan64-78.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan64-78.jpg\" alt=\"Cardigan64-78\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25626\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan64-78.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Cardigan64-78-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>There you have it!  The latest in my prime factorization knitting adventures.  Let&#8217;s see, I feel compelled to summarize what I&#8217;ve done.  <\/p>\n<p>It began with the <a href=\"https:\/\/sonderbooks.com\/blog\/?p=843\">Prime Factorization Sweater<\/a>.<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime-factorization-sweater2.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime-factorization-sweater2.jpg\" alt=\"prime-factorization-sweater\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25633\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime-factorization-sweater2.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime-factorization-sweater2-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>Then when that <a href=\"https:\/\/sonderbooks.com\/blog\/?p=10000\">became wildly popular on the internet<\/a>, I made a <a href=\"https:\/\/sonderbooks.com\/blog\/?p=10572\">Prime Factorization T-shirt<\/a>.  (These are <a href=\"http:\/\/www.cafepress.com\/sonderbooks\">available for sale<\/a>, by the way.)<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Twitter-Profile.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Twitter-Profile.jpg\" alt=\"Twitter Profile\" width=\"298\" height=\"298\" class=\"aligncenter size-full wp-image-25634\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Twitter-Profile.jpg 298w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Twitter-Profile-150x150.jpg 150w\" sizes=\"auto, (max-width: 298px) 100vw, 298px\" \/><\/a><\/p>\n<p>I experimented with stripes when I made <a href=\"https:\/\/sonderbooks.com\/blog\/?p=13291\">my Prime Factorization Scarf<\/a>, and planned out how to do this cardigan.<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Prime-Factorization-Scarf.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Prime-Factorization-Scarf.jpg\" alt=\"Prime Factorization Scarf\" width=\"203\" height=\"550\" class=\"aligncenter size-full wp-image-25636\" \/><\/a><\/p>\n<p>Then my siblings were expecting babies.  For my sister&#8217;s baby, I knitted a <a href=\"https:\/\/sonderbooks.com\/blog\/?p=15287\">Coded Blessing Blanket<\/a>.<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Blessing-Blanket.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Blessing-Blanket.jpg\" alt=\"Blessing Blanket\" width=\"300\" height=\"400\" class=\"aligncenter size-full wp-image-25637\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Blessing-Blanket.jpg 300w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Blessing-Blanket-225x300.jpg 225w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>For my brother&#8217;s baby, nothing but a <a href=\"https:\/\/sonderbooks.com\/blog\/?p=21571\">Prime Factorization Blanket<\/a> would do.<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime_factorization_blanket1.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime_factorization_blanket1.jpg\" alt=\"prime_factorization_blanket\" width=\"300\" height=\"400\" class=\"aligncenter size-full wp-image-25643\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime_factorization_blanket1.jpg 300w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/prime_factorization_blanket1-225x300.jpg 225w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>Which got me going on a <a href=\"https:\/\/sonderbooks.com\/blog\/?p=23805\">Pascal&#8217;s Triangle Shawl<\/a>.<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PascalsTriangleShawl.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PascalsTriangleShawl.jpg\" alt=\"PascalsTriangleShawl\" width=\"400\" height=\"300\" class=\"aligncenter size-full wp-image-25640\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PascalsTriangleShawl.jpg 400w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/PascalsTriangleShawl-300x225.jpg 300w\" sizes=\"auto, (max-width: 400px) 100vw, 400px\" \/><\/a><\/p>\n<p>Which got me to start <a href=\"https:\/\/sonderbooks.com\/blog\/?p=22802\">another, prettier one<\/a> (Still not finished).<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Pascals-Colors.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Pascals-Colors.jpg\" alt=\"Pascals Colors\" width=\"450\" height=\"337\" class=\"aligncenter size-full wp-image-25641\" srcset=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Pascals-Colors.jpg 450w, https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Pascals-Colors-300x224.jpg 300w\" sizes=\"auto, (max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>And brings me back to the Prime Factorization Cardigan!<\/p>\n<p><a href=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Wearing-cardigan-hands-down.jpg\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/sonderbooks.com\/blog\/wp-content\/uploads\/2014\/11\/Wearing-cardigan-hands-down.jpg\" alt=\"Wearing cardigan hands down\" width=\"326\" height=\"579\" class=\"aligncenter size-full wp-image-25627\" \/><\/a><\/p>\n<p><a href=\"http:\/\/twitter.com\/share\" class=\"twitter-share-button\" data-count=\"none\" data-via=\"Sonderbooks\">Tweet<\/a><script type=\"text\/javascript\" src=\"http:\/\/platform.twitter.com\/widgets.js\"><\/script><\/p>\n<p>My posts on Mathematical Knitting and related topics are now gathered at <a href=\"http:\/\/www.sonderbooks.com\/sonderknitting\/\">Sonderknitting<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I did it! More than two years after beginning, I have finally completed my Prime Factorization Cardigan! Here&#8217;s how it works! The stripes each represent a counting number. They go from left to right, cuff to cuff. 1 is black, the background color (which is a factor of everything). Then each prime gets a new [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[56,27,206],"tags":[],"class_list":["post-25603","post","type-post","status-publish","format-standard","hentry","category-knitting","category-mathematical","category-prime-factorization-2"],"_links":{"self":[{"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/25603","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25603"}],"version-history":[{"count":0,"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=\/wp\/v2\/posts\/25603\/revisions"}],"wp:attachment":[{"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25603"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25603"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/sonderbooks.com\/blog\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25603"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}