{"loaderData":{"0":null,"0-5":[{"type":"wordpress/fetchEditorialNotes/rejected","meta":{"arg":{"word":"prime-factorization"},"requestId":"fMsaH7i31-sIIZTzc0P3R","rejectedWithValue":false,"requestStatus":"rejected","aborted":false,"condition":false},"error":{"name":"SyntaxError","message":"Unexpected token < in JSON at position 0","stack":"SyntaxError: Unexpected token < in JSON at position 0\n at JSON.parse ()\n at Response.json (node:internal/deps/undici/undici:1817:21)\n at process.processTicksAndRejections (node:internal/process/task_queues:95:5)\n at async /app/server.js:389:13314"}},{"type":"fetchPageData/fulfilled","payload":{"_id":"home-legacy","story":{"created_at":"2023-07-04T15:14:18.526Z","published_at":"2024-05-02T04:05:00.000Z","content":{"heroModule":[{"cta":[{"url":"https://www.dictionary.com/e/pancakes-vs-flapjacks-vs-hotcakes/","text":"Read more.","target":"_self"}],"article":{"name":"Pancakes vs. Flapjacks vs. Hotcakes: How They Stack Up","content":{"topicLabel":"Food and drink"}},"imageUrl":"https://assets.dictionary.com/home/featured/hero/pancakes-vs-flapjacks-vs-hotcakes-how-they-stack-up-20241113.jpg","description":"Wondering whether to order pancakes, flapjacks, or hotcakes at the diner? Uncover their delicious differences.","subjectLabel":"Today"}],"quizModule":[{"cta":[{"url":"https://www.dictionary.com/learn/quizzes","text":"Go to all quizzes","target":"_self"}],"image":"https://assets.dictionary.com/home/daily-quiz.png","articleLink":[{"url":"https://www.dictionary.com/games/quizzes/can-you-identify-similes-and-metaphors","text":"Take the full quiz.","target":"_self"}],"subjectLabel":"Quiz","wordpressSlug":"can-you-identify-similes-and-metaphors","questionNumber":"1"}],"xotdModule":[],"gamesModule":[{"gamesList":[{"name":"Daily Crossword","created_at":"2023-07-04T15:24:23.318Z","published_at":"2024-02-07T05:05:00.000Z","id":336141299,"content":{"link":[{"url":"https://www.dictionary.com/e/crossword/","text":"Daily Crossword","target":"_self"}],"image":{"id":10215805,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/daily-crossword.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false},"subscriberLink":""},"slug":"daily-crossword","full_slug":"games/daily-crossword","sort_by_date":null,"position":0,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"013f4974-3fad-4e2b-8aa2-c573ef31f263","first_published_at":"2023-07-04T15:32:55.972Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true},{"name":"Hurdle","created_at":"2023-07-07T20:42:46.109Z","published_at":"2024-02-06T05:05:00.000Z","id":337835996,"content":{"link":[{"url":"https://play.dictionary.com/games/todays-hurdle","text":"Hurdle","target":"_self"}],"image":{"id":10215808,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/hurdle.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false},"subscriberLink":"https://www.dictionary.com/games/hurdle"},"slug":"hurdle","full_slug":"games/hurdle","sort_by_date":null,"position":-30,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"3342f4e9-9403-4609-a956-7cd5eab50dc9","first_published_at":"2023-07-10T17:24:55.648Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true},{"name":"Word Puzzle","created_at":"2023-07-04T15:31:56.964Z","published_at":"2023-07-10T17:24:59.422Z","id":336150578,"content":{"link":[{"url":"https://www.dictionary.com/games/word-puzzle","text":"Word Puzzle","target":"_self"}],"image":{"id":10215807,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/word-puzzle.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false}},"slug":"word-puzzle","full_slug":"games/word-puzzle","sort_by_date":null,"position":-20,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"71792320-7229-4ab6-8558-b3af16f5e557","first_published_at":"2023-07-04T15:32:43.933Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true},{"name":"Word Wipe","created_at":"2023-07-04T15:28:02.623Z","published_at":"2024-02-06T05:05:00.000Z","id":336141320,"content":{"link":[{"url":"https://play.dictionary.com/games/word-wipe","text":"Word Wipe","target":"_self"}],"image":{"id":10215806,"alt":"","name":"","focus":"","title":"","source":"","filename":"https://assets.dictionary.com/home/word-wipe.png","copyright":"","fieldtype":"asset","meta_data":{},"is_external_url":false},"subscriberLink":"https://www.dictionary.com/games/word-wipe"},"slug":"word-wipe","full_slug":"games/word-wipe","sort_by_date":null,"position":-10,"tag_list":[],"is_startpage":false,"parent_id":336140985,"meta_data":null,"group_id":"3789fc63-90b3-4407-99f4-fa263d1a3e39","first_published_at":"2023-07-04T15:32:50.947Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null,"_stopResolving":true}],"description":"Calling all cruciverbalists! Sharpen your mind with crosswords and word games, or take a brain break with your favorite classic games.","subjectLabel":"Games"}],"commonModule":[],"ribbonModule":[],"trendingModule":[{"articles":[{"content":{"link":[{"url":"https://www.dictionary.com/e/course-vs-coarse/","text":"Course vs. Coarse: A Crash Course on the Differences"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/french-fries-words-around-the-world/","text":"Frites, Chips, and More: French Fries Around the World"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/aisle-vs-isle/","text":"Aisle vs. Isle: Learn the Differences"}]}},{"content":{"link":[{"url":"https://www.dictionary.com/e/where-does-the-name-winter-come-from/","text":"Where Does the Name \"Winter\" Come From?"}]}},{"content":{"link":[{"url":"https://www.thesaurus.com/e/ways-to-say/author-vs-writer/","text":"Author vs. Writer: What Is the Difference?"}]}}],"subjectLabel":"Trending"}],"newsletterModule":[{"title":"Salutations, logophile!","imageUrl":"https://assets.dictionary.com/home/newsletter.png","description":"Sign up to get everything a word lover could want: word origins, fun facts, and the latest language trends.","subjectLabel":"Newsletter"}],"largeRibbonModule":[],"recirculationModule":[{"articles":[{"content":{"link":[{"url":"https://www.dictionary.com/e/imbed-vs-embed/","text":"\"Imbed\" vs. \"Embed\": What's the Difference?"}],"topicLabel":"Spelling 🐝"}},{"content":{"link":[{"url":"https://www.thesaurus.com/e/ways-to-say/list-of-vegetables/","text":"This List of Vegetables Is No Small Potatoes"}],"topicLabel":"Food and drink 🥕🥦"}},{"content":{"link":[{"url":"https://www.dictionary.com/e/medical-term-for-fainting/","text":"What Is the Medical Term for Fainting?"}],"topicLabel":"Medicine"}}],"subjectLabel":"Featured"}]},"slug":"shared-homepage","full_slug":"homepages/shared-homepage","sort_by_date":null,"position":0,"tag_list":[],"is_startpage":false,"parent_id":336140983,"meta_data":null,"group_id":"c7ed375b-9129-448c-aeec-9f52e3fef270","first_published_at":"2023-07-04T18:23:43.845Z","release_id":null,"lang":"default","path":null,"alternates":[],"default_full_slug":null,"translated_slugs":null}},"meta":{"requestId":"CCKsTLmQalvcxUc_zcPlz","requestStatus":"fulfilled"}},{"type":"fetchWordsNearby/fulfilled","payload":{"data":{"before":[{"slug":"primavera","entry":"primavera"},{"slug":"primaveral","entry":"primaveral"},{"slug":"prime","entry":"prime"},{"slug":"prime-cost","entry":"prime cost"},{"slug":"prime-factor","entry":"prime factor"}],"after":[{"slug":"prime-field","entry":"prime field"},{"slug":"prime-focus","entry":"prime focus"},{"slug":"prime-ideal","entry":"prime ideal"},{"slug":"prime-interest-rate","entry":"prime interest rate"},{"slug":"primely","entry":"primely"}]}},"meta":{"arg":{"word":"prime-factorization"},"requestId":"0Wfae2GLtWmU1lGyXkZMe","requestStatus":"fulfilled"}},{"type":"luna/fetchExampleSentences/fulfilled","payload":{"data":{"nlp":[],"tdb":[],"gbg":[]}},"meta":{"arg":{"word":"prime-factorization"},"requestId":"SnYBFINDlL8rvI-kFBaeq","requestStatus":"fulfilled"}},{"type":"fetchDictionaryResults/fulfilled","payload":{"slugs":[{"entries":[{"__typename":"Entry","audioPronunciations":[{"mpeg":"https://nonprod-audio.dictionary.com/NEW2016/primefactorization_010/primefactorization_010.mp3"}],"confusableNotes":[],"genderNotes":[],"grammarNotes":[],"headword":{"displayForm":"prime factorization","slug":"prime-factorization"},"idioms":[],"orderKey":99999010,"ordinal":10,"origin":{"originChunks":"[{\"text\": \"First recorded in\", \"type\": \"text\"}, {\"text\": \"1945\\u201350\", \"type\": \"date\"}]"},"partOfSpeechBlock":[{"definitions":[{"antonymsConnection":{"edges":[]},"definitionSetChunks":"[{\"type\": \"def\", \"children\": []}]","examples":[],"ordinal":1,"subdefinitions":[{"definitionSetChunks":"[{\"type\": \"subdef\", \"children\": [{\"text\": \"the process of resolving a number into its\", \"type\": \"text\"}, {\"type\": \"cross_reference\", \"punc\": \"stop\", \"children\": [{\"text\": \"prime factors\", \"type\": \"text\"}], \"slug\": \"prime-factor\", \"trailingSpace\": true}]}]","examples":[],"ordinal":1},{"definitionSetChunks":"[{\"type\": \"subdef\", \"children\": [{\"text\": \"the resulting mathematical expression, such as 18 = 2 \\u00d7 3 \\u00d7 3.\", \"type\": \"text\"}]}]","examples":[],"ordinal":2}],"synonymsConnection":{"edges":[]}}],"inflectionSets":[],"labelSet":{"labelSetText":"Mathematics."},"ordinal":1,"partOfSpeech":"noun"}],"pronunciationNotes":[],"pronunciationSet":{"pronunciationSetChunk":"{\"type\": \"pronunciation_set\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18a19d316fa.6fad\", \"pronunciationGroupChunks\": [{\"type\": \"pronunciation_group\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18a19d316fa.6fae\", \"ipaChunks\": [{\"text\": \"\\u02c8pra\\u026am \\u02ccf\\u00e6k t\\u0259r \\u0259\\u02c8ze\\u026a \\u0283\\u0259n\", \"type\": \"text\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18a19d316fa.6faf\"}], \"spellChunks\": [{\"text\": \"prahym\", \"type\": \"bold\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18b80baffb9.-57c9\"}, {\"text\": \" fak-ter-\", \"type\": \"text\"}, {\"text\": \"uh\", \"type\": \"emphasis\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18b80baffb9.-57c8\"}, {\"text\": \"-\", \"type\": \"text\"}, {\"text\": \"zey\", \"type\": \"bold\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18b80baffb9.-57c7\"}, {\"text\": \"-sh\", \"type\": \"text\"}, {\"text\": \"uh\", \"type\": \"emphasis\", \"pointsTo\": \"u005d2a711802fc1e.7242d451.18b80baffb9.-57c6\"}, {\"text\": \"n\", \"type\": \"text\"}]}]}"},"relatedFormSets":[],"sensitiveNotes":[],"spellingNotes":[],"synonymStudy":[],"usageAlerts":[],"usageNotes":[],"variants":[],"verbPhrases":[]}],"url":"prime-factorization"}]},"meta":{"arg":{"slug":"prime-factorization"},"requestId":"kGVn8_K4r3Bd66Ef_jR4q","requestStatus":"fulfilled"}},{"type":"fetchResultsData/fulfilled","payload":{"data":{"url":"prime-factorization","displayForm":"prime factorization","canonicalSlug":"prime-factorization","content":[{"source":"luna","entries":[{"id":"u005d2a711802fc1e.7242d451.18a19d316fa.2b91","type":"normal","entry":"prime factorization","entrySyllabified":"prime fac·to·ri·za·tion","entryVariants":[],"homograph":null,"pronunciation":{"ipa":"ˈpraɪm ˌfæk tər əˈzeɪ ʃən ","spell":"prahym-fak-ter-uh-zey-shuhn ","audio":{"audio/ogg":"https://static.sfdict.com/audio/lunawav/NEW2016/primefactorization_010.ogg","audio/mpeg":"https://static.sfdict.com/audio/NEW2016/primefactorization_010.mp3"}},"predefinitionContent":"","posBlocks":[{"definitions":[{"order":1,"type":"group","predefinitionContent":"","postdefinitionContent":"","synonyms":"","antonyms":"","cites":[],"subdefinitions":[{"type":"simple","predefinitionContent":"","postdefinitionContent":"","definition":"the process of resolving a number into its prime factors. ","synonyms":"","antonyms":"","cites":[]},{"type":"simple","predefinitionContent":"","postdefinitionContent":"","definition":"the resulting mathematical expression, such as 18 = 2 × 3 × 3.","synonyms":"","antonyms":"","cites":[]}]}],"pos":"noun","posSupplementaryInfo":"Mathematics."}],"origin":"First recorded in 1945–50","originData":null,"supplementaryNotes":[],"variantForms":[],"variantSpellings":[],"referenceData":[],"relatedForms":[],"confusables":[]}]}],"nearbyWordOrdinal":123158,"index-rank-01":["prime factorization"],"index-rank-02":[],"index-rank-03":[],"index-rank-04":[],"index-rank-05":[],"index-rank-06":[],"index-rank-07":[],"index-rank-08":[],"index-rank-09":[],"index-rank-10":[],"index-rank-11":[],"index-rank-12":[],"index-rank-13":[],"index-rank-14":[],"index-rank-15":[],"tunaSlug":null,"isFeaturedMetaSlug":false}},"meta":{"arg":{"word":"prime-factorization"},"requestId":"Alw0oMkSed53HF4zw9FNz","requestStatus":"fulfilled"}},{"type":"fetchSpellSuggestions/fulfilled","payload":{"data":{"luna":["prime factorization","preauthorization","aromatization","characterization","dramatization","pressurization","prime factor","microminiaturization","Americanization","arborization"],"tuna":["characterization","climatization","dramatization","memorization","anatomization","atomization","authorization","categorization","collectivization","computerization"],"lunaWithSlug":[{"displayForm":"prime factorization","slug":"prime-factorization"},{"displayForm":"preauthorization","slug":"preauthorization"},{"displayForm":"aromatization","slug":"aromatization"},{"displayForm":"characterization","slug":"characterization"},{"displayForm":"dramatization","slug":"dramatization"},{"displayForm":"pressurization","slug":"pressurization"},{"displayForm":"prime factor","slug":"prime-factor"},{"displayForm":"microminiaturization","slug":"microminiaturization"},{"displayForm":"Americanization","slug":"americanization"},{"displayForm":"arborization","slug":"arborization"}],"tunaWithSlug":[{"displayForm":"characterization","slug":"characterization"},{"displayForm":"climatization","slug":"climatization"},{"displayForm":"dramatization","slug":"dramatization"},{"displayForm":"memorization","slug":"memorization"},{"displayForm":"anatomization","slug":"anatomization"},{"displayForm":"atomization","slug":"atomization"},{"displayForm":"authorization","slug":"authorization"},{"displayForm":"categorization","slug":"categorization"},{"displayForm":"collectivization","slug":"collectivization"},{"displayForm":"computerization","slug":"computerization"}]}},"meta":{"arg":{"word":"prime-factorization"},"requestId":"5RgW_Zmv-8SU4Rfsj_0PR","requestStatus":"fulfilled"}}]},"actionData":null,"errors":null}

prime factorization

noun

Word History and Origins