{"id":3976,"date":"2026-10-14T20:34:23","date_gmt":"2026-10-14T19:34:23","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/matematik\/faktoriyel-hesaplama\/"},"modified":"2026-10-14T20:34:23","modified_gmt":"2026-10-14T19:34:23","slug":"faktoriyel-hesaplama","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/matematik\/faktoriyel-hesaplama\/","title":{"rendered":"Fakt\u00f6riyel Hesaplama"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Negatif olmayan tam say\u0131n\u0131n fakt\u00f6riyelini tam olarak hesaplay\u0131n<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"3976\" data-favorite-title=\"Fakt\u00f6riyel\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/matematik\/faktoriyel-hesaplama\/\" data-favorite-excerpt=\"0&#039;dan 10000&#039;e kadar herhangi bir negatif olmayan tam say\u0131n\u0131n kesin fakt\u00f6riyelini (n!) t\u00fcm basamaklar\u0131yla birlikte hesaplay\u0131n; ayr\u0131ca basamak say\u0131s\u0131, sondaki s\u0131f\u0131rlar ve bilimsel g\u00f6sterim.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-arithmetic\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/matematik\/faktoriyel-hesaplama\/\" method=\"POST\" class=\"calculator\" id=\"calculator-3976\" data-post=\"3976\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field has-term\" id=\"input-1\"><label for=\"field-1\">Negatif olmayan tam say\u0131<\/label><div class=\"term\">n<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><input type=\"text\" name=\"negatif_olmayan_tam_say\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"0\" max=\"10000\" value=\"10\"\/><small id=\"calc-info-1\">0 ile 10000 aras\u0131nda tam say\u0131; fakt\u00f6riyel \u00e7ok h\u0131zl\u0131 b\u00fcy\u00fcr<\/small><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"3976\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Sonu\u00e7lar\u0131n\u0131z<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Fakt\u00f6riyelin tam de\u011feri<\/span><span class=\"result-term\">n!<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Basamak say\u0131s\u0131<\/span><span class=\"result-term\">d<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Sondaki s\u0131f\u0131rlar<\/span><span class=\"result-term\">z<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-4\"><span class=\"field-title\"><span>Bilimsel g\u00f6sterim (tam de\u011fer)<\/span><\/span><span class=\"field-value\" id=\"result-4\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-5\"><span class=\"field-title\"><span>Bu sonu\u00e7 nas\u0131l hesapland\u0131<\/span><\/span><span class=\"field-value\" id=\"result-5\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"3976\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Fakt\u00f6riyel Form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ n! = \\prod_{k=1}^{n} k = 1 \\times 2 \\times 3 \\times \\dots \\times n \\,, \\qquad 0! = 1 \\]<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(n\\) \u2014 negatif olmayan bir tam say\u0131 (0, 1, 2, 3, \u2026)<\/li>\n<li>\\(n!\\) \u2014 \\(n\\) say\u0131s\u0131n\u0131n fakt\u00f6riyeli; 1'den \\(n\\)'e kadar t\u00fcm tam say\u0131lar\u0131n \u00e7arp\u0131m\u0131<\/li>\n<\/ul>\n<p>Bir say\u0131n\u0131n fakt\u00f6riyeli, 1'den o say\u0131ya kadar olan t\u00fcm tam say\u0131lar\u0131n \u00e7arp\u0131m\u0131ndan ibarettir. \\(0! = 1\\) \u00f6zel durumu ise sayma ve cebir form\u00fcllerinin tutarl\u0131 kalmas\u0131n\u0131 sa\u011flayan bir tan\u0131md\u0131r.<\/p>\n<p>\\(n!\\) say\u0131s\u0131n\u0131n sonundaki s\u0131f\u0131rlar\u0131n say\u0131s\u0131 Legendre form\u00fcl\u00fcyle bulunur:<\/p>\n<p>\\[ z = \\left\\lfloor \\frac{n}{5} \\right\\rfloor + \\left\\lfloor \\frac{n}{25} \\right\\rfloor + \\left\\lfloor \\frac{n}{125} \\right\\rfloor + \\dots \\]\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Fakt\u00f6riyel \u2013 \u00d6rnek Hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> hesaplama arac\u0131n\u0131n varsay\u0131lan de\u011feri olan 10 say\u0131s\u0131n\u0131n fakt\u00f6riyelini bulal\u0131m.<\/p>\n<p>\\[ 10! = 1 \\times 2 \\times 3 \\times 4 \\times 5 \\times 6 \\times 7 \\times 8 \\times 9 \\times 10 \\]<\/p>\n<p>\\[ 10! = 3{,}628{,}800 \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> \\(10! = 3{,}628{,}800\\). Bu say\u0131n\u0131n 7 basama\u011f\u0131 ve 2 sondaki s\u0131f\u0131r\u0131 var; bilimsel g\u00f6sterimdeki de\u011feri \\(3.6288 \\times 10^{6}\\).<\/p>\n<p>\n\r\n<\/section>\n<h2>Fakt\u00f6riyel hesaplama arac\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Say\u0131n\u0131z\u0131 <strong>Negatif olmayan tam say\u0131<\/strong> alan\u0131na yaz\u0131n (0 ile 10000 aras\u0131 herhangi bir tam say\u0131; varsay\u0131lan de\u011fer 10).<\/li>\n<li><strong>Kesin fakt\u00f6riyel<\/strong> sonucunu okuyun \u2014 her basamak s\u0131n\u0131rs\u0131z duyarl\u0131kl\u0131 aritmetikle hesaplan\u0131r, hi\u00e7bir \u015fey yuvarlanmaz.<\/li>\n<li>Sonucun b\u00fcy\u00fckl\u00fc\u011f\u00fc hakk\u0131nda h\u0131zl\u0131 bir fikir edinmek i\u00e7in <strong>Basamak say\u0131s\u0131<\/strong> ve <strong>Sondaki s\u0131f\u0131rlar<\/strong> alanlar\u0131na bak\u0131n.<\/li>\n<li>Tam say\u0131 rahat\u00e7a okunamayacak kadar uzunsa <strong>Bilimsel g\u00f6sterim (kesin de\u011fer)<\/strong> sat\u0131r\u0131na g\u00f6z at\u0131n.<\/li>\n<li>\u00c7arp\u0131m\u0131n ve sondaki s\u0131f\u0131r say\u0131s\u0131n\u0131n k\u0131sa bir d\u00f6k\u00fcm\u00fc i\u00e7in <strong>Bu sonucun hesaplan\u0131\u015f\u0131<\/strong> b\u00f6l\u00fcm\u00fcn\u00fc inceleyin.<\/li>\n<\/ol>\n<h2>Fakt\u00f6riyel nedir?<\/h2>\n<p>Negatif olmayan bir \\(n\\) tam say\u0131s\u0131n\u0131n fakt\u00f6riyeli, \\(n!\\) bi\u00e7iminde yaz\u0131l\u0131r ve \\(n\\)'e kadar t\u00fcm pozitif tam say\u0131lar\u0131n \u00e7arp\u0131m\u0131d\u0131r. \u00d6rne\u011fin \\(5! = 1 \\times 2 \\times 3 \\times 4 \\times 5 = 120\\). Bu g\u00f6sterim 19. y\u00fczy\u0131l\u0131n ba\u015f\u0131nda kullan\u0131lmaya ba\u015flad\u0131 ve matematikte en \u00e7ok kullan\u0131lan simgelerden biri h\u00e2line geldi; \u00e7\u00fcnk\u00fc fakt\u00f6riyeller her yerde kar\u015f\u0131m\u0131za \u00e7\u0131kar: perm\u00fctasyon ve kombinasyonlar, binom ve Poisson gibi olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131, \\(e^x\\)'in Taylor serileri ve say\u0131s\u0131z sayma problemi.<\/p>\n<p>En yayg\u0131n yorumu kombinatoriktir: \\(n!\\), \\(n\\) farkl\u0131 nesneyi bir s\u0131raya dizme yollar\u0131n\u0131n say\u0131s\u0131d\u0131r. Elinizde 10 kitap varsa, bunlar\u0131 rafa dizebilece\u011finiz \\(10! = 3{,}628{,}800\\) farkl\u0131 s\u0131ra vard\u0131r. Fakt\u00f6riyellerin s\u0131ran\u0131n \u00f6nemli olmad\u0131\u011f\u0131 se\u00e7imleri sayan <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/binom-katsayisi\/\">binom katsay\u0131s\u0131nda<\/a> \\(\\binom{n}{k} = \\frac{n!}{k!(n-k)!}\\) yer almas\u0131n\u0131n nedeni de budur.<\/p>\n<p>Fakt\u00f6riyeller herhangi bir \u00fcstel fonksiyondan daha h\u0131zl\u0131 b\u00fcy\u00fcr. \u0130lk de\u011ferler k\u00fc\u00e7\u00fckt\u00fcr \u2014 \\(1! = 1\\), \\(5! = 120\\), \\(10! = 3{,}628{,}800\\) \u2014 ama \\(n = 20\\)'de sonu\u00e7 \\(2.4 \\times 10^{18}\\) de\u011ferini \u00e7oktan a\u015fm\u0131\u015ft\u0131r ve \\(70!\\) bir googol'dan b\u00fcy\u00fckt\u00fcr. Bu patlamal\u0131 b\u00fcy\u00fcme, arac\u0131n s\u0131n\u0131rs\u0131z duyarl\u0131kl\u0131 aritmetik kullanmas\u0131n\u0131n tam da nedenidir: s\u0131radan kayan noktal\u0131 say\u0131lar yakla\u015f\u0131k \\(170!\\) civar\u0131nda ta\u015far, burada ise \\(10000!\\)'e kadar (35.660 basamakl\u0131 bir say\u0131) son basama\u011f\u0131na kadar kesin sonu\u00e7 al\u0131rs\u0131n\u0131z.<\/p>\n<p>Ek \u00e7\u0131kt\u0131lar, kocaman sonu\u00e7lar\u0131 yorumlaman\u0131za yard\u0131mc\u0131 olur. Basamak say\u0131s\u0131 b\u00fcy\u00fckl\u00fck mertebesini s\u00f6yler, bilimsel g\u00f6sterim kompakt ve kesin bir bi\u00e7im verir, sondaki s\u0131f\u0131r say\u0131s\u0131 ise klasik bir soruyu yan\u0131tlar: \\(n!\\) say\u0131s\u0131 ka\u00e7 tane s\u0131f\u0131rla biter? Her sondaki s\u0131f\u0131r bir \\(10 = 2 \\times 5\\) \u00e7arpan\u0131ndan gelir; 5 \u00e7arpanlar\u0131 2 \u00e7arpanlar\u0131ndan daha seyrek oldu\u011fu i\u00e7in say\u0131 \\(z = \\lfloor n\/5 \\rfloor + \\lfloor n\/25 \\rfloor + \\lfloor n\/125 \\rfloor + \\dots\\) olur; burada <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/taban-bolme\/\">taban (tam say\u0131) b\u00f6lme<\/a> her ad\u0131mda kalan\u0131 atar.<\/p>\n<h2>Varsay\u0131mlar, s\u0131n\u0131rlamalar ve ipu\u00e7lar\u0131<\/h2>\n<ul>\n<li><strong>Yaln\u0131zca negatif olmayan tam say\u0131lar.<\/strong> Fakt\u00f6riyeller negatif tam say\u0131lar i\u00e7in tan\u0131ml\u0131 de\u011fildir; 4,5 gibi giri\u015fler reddedilir. Tam say\u0131 olmayan ba\u011f\u0131ms\u0131z de\u011fi\u015fkenler i\u00e7in matematik\u00e7iler \\(\\Gamma(n+1) = n!\\) olan gama fonksiyonunu kullan\u0131r.<\/li>\n<li><strong>Aral\u0131k 0 ile 10000.<\/strong> \u00dcst s\u0131n\u0131r tamamen performans nedeniyledir; \\(10000!\\) 35.660 basamakl\u0131 bir say\u0131d\u0131r ve \u00f6tesindeki sonu\u00e7lar\u0131n hesaplan\u0131p g\u00f6r\u00fcnt\u00fclenmesi belirgin bi\u00e7imde daha uzun s\u00fcrer.<\/li>\n<li><strong>\\(0! = 1\\) ve \\(1! = 1\\)'i unutmay\u0131n.<\/strong> Bunlar hata de\u011fil tan\u0131md\u0131r. \\(0! = 1\\) al\u0131nmas\u0131 \\(\\binom{n}{0} = \\frac{n!}{0!\\,n!}\\) gibi form\u00fcllerin do\u011fru \u00e7al\u0131\u015fmas\u0131n\u0131 sa\u011flar.<\/li>\n<li><strong>Sonu\u00e7 yakla\u015f\u0131kl\u0131k de\u011fil, kesindir.<\/strong> Bir\u00e7ok ara\u00e7 \\(n!\\) de\u011ferini yuvarlanm\u0131\u015f bir kayan noktal\u0131 say\u0131 olarak verir (ya da \\(170!\\)'den sonra \u00e7al\u0131\u015fmaz); burada ise tam say\u0131 \u00e7arp\u0131m\u0131 basamak basamak hesaplan\u0131r.<\/li>\n<li><strong>Ba\u015fka yerlerde ta\u015fmaya dikkat.<\/strong> Bir fakt\u00f6riyeli standart 64 bit aritmetik kullanan bir araca girerseniz \\(20!\\)'den b\u00fcy\u00fck de\u011ferler s\u0131\u011fmaz; sonu\u00e7lar\u0131 birle\u015ftirirken bunu akl\u0131n\u0131zda bulundurun \u2014 b\u00fcy\u00fck fakt\u00f6riyellerle <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/carpma-hesaplayici\/\">\u00e7arpma<\/a> veya <a href=\"https:\/\/wpcalc.com\/tr\/matematik\/bolme-hesaplayici\/\">b\u00f6lme<\/a> gibi temel i\u015flemleri, \u00f6nce her fakt\u00f6riyeli hesaplamak yerine oran sadele\u015ftirmesiyle yapmak en iyisidir.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>0'dan 10000'e kadar herhangi bir negatif olmayan tam say\u0131n\u0131n kesin fakt\u00f6riyelini (n!) t\u00fcm basamaklar\u0131yla birlikte hesaplay\u0131n; ayr\u0131ca basamak say\u0131s\u0131, sondaki s\u0131f\u0131rlar ve bilimsel g\u00f6sterim.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[18],"class_list":["post-3976","post","type-post","status-publish","format-standard","hentry","category-matematik","tag-aritmetik-hesap-makineleri"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3976","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=3976"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/3976\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=3976"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=3976"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=3976"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}