Prime Factors

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <script type="text/javascript"> //Compete __compete_code = '667f89f26d96c30e99728fe6a608804d'; (function () { var s=document.createElement('script'),d=document.getElementsByTagName('head')[0]||document.getElementsByTagName('body')[0],t='https:'==document.location.protocol?'https://c.compete.com/bootstrap/':'http://c.compete.com/bootstrap/';s.src=t+__compete_code+'/bootstrap.js';s.type='text/javascript';s.async='async';if(d){d.appendChild(s);}})(); //Quantcast function channValidator(chann){ return (typeof(chann) == 'string' && chann != '');} function lycosQuantcast(){ var lb = ""; if(typeof(cm_host) !== 'undefined' && channValidator(cm_host)){ lb += cm_host.split('.')[0] + '.'; } if(typeof(cm_taxid) !== 'undefined' && channValidator(cm_taxid)){ lb += cm_taxid; lb = lb.replace('/',''); } else { lb = lb.replace('.',''); } return lb; } var _qevents = _qevents || []; (function() { var elem = document.createElement('script'); elem.src = (document.location.protocol == "https:" ? "https://secure" :"http://edge") + ".quantserve.com/quant.js"; elem.async = true; elem.type = "text/javascript"; var scpt = document.getElementsByTagName('script')[0]; scpt.parentNode.insertBefore(elem, scpt); })(); _qevents.push({ qacct:"p-6eQegedn62bSo", labels:lycosQuantcast() }); //OwnerIQ var __oiq_pct = 50; if( __oiq_pct>=100 || Math.floor(Math.random()*100/(100-__oiq_pct)) > 0 ) { var _oiqq = _oiqq || []; _oiqq.push(['oiq_addPageBrand','Lycos']); _oiqq.push(['oiq_addPageCat','Internet > Websites']); _oiqq.push(['oiq_addPageLifecycle','Intend']); _oiqq.push(['oiq_doTag']); (function() { var oiq = document.createElement('script'); oiq.type = 'text/javascript'; oiq.async = true; oiq.src = document.location.protocol + '//px.owneriq.net/stas/s/lycosn.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(oiq, s); })(); } //Google Analytics var _gaq = _gaq || []; _gaq.push(['_setAccount','UA-21402695-19']); _gaq.push(['_setDomainName','tripod.com']); _gaq.push(['_setCustomVar',1,'member_name','dbossie',3]); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); //Lycos Init function getReferrer() { var all= this.document.cookie; if (all== '') return false; var cookie_name = 'REFERRER='; var start = all.lastIndexOf(cookie_name); if (start == -1) return false; start += cookie_name.length; var end = all.indexOf(';', start); if (end == -1) end = all.length; return all.substring(start, end); } function getQuery() { var rfr = getReferrer(); if (rfr == '') return false; var q = extractQuery(rfr, 'yahoo.com', 'p='); if (q) return q; q = extractQuery(rfr, '', 'q='); return q ? q : ""; } function extractQuery(full, site, q_param) { var start = full.lastIndexOf(site); if (start == -1) return false; start = full.lastIndexOf(q_param); if (start == -1) return false; start += q_param.length; var end = full.indexOf('&', start); if (end == -1) end = full.length; return unescape(full.substring(start, end)).split(" ").join("+"); } function generateHref(atag, template){ atag.href=template.replace('_MYURL_', window.location.href.replace('http://', '')).replace('_MYTITLE_','Check%20out%20this%20Tripod%20Member%20site!'); } var lycos_ad = Array(); var lycos_onload_timer; var cm_role = "live"; var cm_host = "tripod.lycos.com"; var cm_taxid = "/memberembedded"; var tripod_member_name = "dbossie"; var tripod_member_page = "dbossie/id53.htm"; var tripod_ratings_hash = "1425528155:3c2d361d57800c6955de49724c91cb86"; var lycos_ad_category = {"find_what":"graphing calculator"}; var lycos_ad_remote_addr = "184.73.110.238"; var lycos_ad_www_server = "www.tripod.lycos.com"; var lycos_ad_track_small = "http://members.tripod.com/adm/img/common/ot_smallframe.gif?rand=839351"; var lycos_ad_track_served = "http://members.tripod.com/adm/img/common/ot_adserved.gif?rand=839351"; var lycos_search_query = getQuery(); //Criteo var cto_conf = { a:true, i: "294", c:"img", kw: "" } ; (function (){ var c = document.createElement("script"); c.type = "text/javascript"; c.async = true; c.src = "http://members.tripod.com/adm/partner/criteo_ld_kw.js"; var s = document.getElementsByTagName("body")[0]; s.appendChild(c); })(); </script> <script type="text/javascript" src="http://scripts.lycos.com/catman/init.js"></script> <script type="text/javascript"> (function(isV) { if( !isV ) { return; } var adMgr = new AdManager(); var lycos_prod_set = adMgr.chooseProductSet(); var slots = ["leaderboard", "leaderboard2", "toolbar_image", "toolbar_text", "smallbox", "top_promo", "footer2", "slider"]; var adCat = this.lycos_ad_category; adMgr.setForcedParam('page', (adCat && adCat.dmoz) ? adCat.dmoz : 'member'); if (this.lycos_search_query) { adMgr.setForcedParam("keyword", this.lycos_search_query); } else if(adCat && adCat.find_what) { adMgr.setForcedParam('keyword', adCat.find_what); } for (var s in slots) { var slot = slots[s]; if (adMgr.isSlotAvailable(slot)) { this.lycos_ad[slot] = adMgr.getSlot(slot); } } adMgr.renderHeader(); adMgr.renderFooter(); }((function() { var w = 0, h = 0, minimumThreshold = 300; if (top == self) { return true; } if (typeof(window.innerWidth) == 'number' ) { w = window.innerWidth; h = window.innerHeight; } else if (document.documentElement && (document.documentElement.clientWidth || document.documentElement.clientHeight)) { w = document.documentElement.clientWidth; h = document.documentElement.clientHeight; } else if (document.body && (document.body.clientWidth || document.body.clientHeight)) { w = document.body.clientWidth; h = document.body.clientHeight; } return ((w > minimumThreshold) && (h > minimumThreshold)); }()))); window.onload = function() { var f = document.getElementById("FooterAd"); var b = document.getElementsByTagName("body")[0]; b.appendChild(f); f.style.display = "block"; document.getElementById('lycosFooterAdiFrame').src = '/adm/ad/footerAd.iframe.html'; // DOM Inj Ad (function(isTrellix) { var e = document.createElement('iframe'); e.style.border = '0'; e.style.margin = 0; e.style.display = 'block'; e.style.cssFloat = 'right'; e.style.height = '254px'; e.style.overflow = 'hidden'; e.style.padding = 0; e.style.width = '300px'; var isBlokedByDomain = function( href ) { var blockedDomains = [ "ananyaporn13000.tripod.com", "xxxpornxxx.tripod.com" ]; var flag = false; for( var i=0; i<blockedDomains.length; i++ ) { if( href.search( blockedDomains[ i ] ) >= 0 ) { flag = true; } } return flag; } var getMetaContent = function( metaName ) { var metas = document.getElementsByTagName('meta'); for (i=0; i<metas.length; i++) { if( metas[i].getAttribute("name") == metaName ) { return metas[i].getAttribute("content"); } } return false; } var getCommentNodes = function(regexPattern) { var nodes = {}; var nodesA = []; var preferredNodesList = ['a', 'c', 'b']; (function getNodesThatHaveComments(n, pattern) { if (n.hasChildNodes()) { if (n.tagName === 'IFRAME') { return false; } for (var i = 0; i < n.childNodes.length; i++) { if ((n.childNodes[i].nodeType === 8) && (pattern.test(n.childNodes[i].nodeValue))) { var areaName = pattern.exec(n.childNodes[i].nodeValue)[1]; nodes[areaName] = n; } else if (n.childNodes[i].nodeType === 1) { getNodesThatHaveComments(n.childNodes[i], pattern); } } } }(document.body, regexPattern)); for (var i in preferredNodesList) { if (nodes[preferredNodesList[i]]) { if( isTrellix && nodes[preferredNodesList[i]].parentNode.parentNode.parentNode.parentNode ) { nodesA.push(nodes[preferredNodesList[i]].parentNode.parentNode.parentNode.parentNode); } else { nodesA.push( nodes[preferredNodesList[i]] ); } } } return nodesA; } var properNode = null; var areaNodes = getCommentNodes( new RegExp( '^area Type="area_(\\w+)"' ) ); for (var i = 0; i < areaNodes.length; i++) { var a = parseInt(getComputedStyle(areaNodes[i]).width); if ((a >= 300) && (a <= 400)) { properNode = areaNodes[i]; break; } } var propertyName = getMetaContent("property") || false; if( isTrellix && (properNode) ) { e.src = '/adm/ad/injectAd.iframe.html'; properNode.insertBefore(e, properNode.firstChild); } else if( isTrellix && !( properNode ) ) // Slap the ad eventhought there is no alocated slot { e.src = '/adm/ad/injectAd.iframe.html'; e.style.cssFloat = 'none'; var cdiv = document.createElement('div'); cdiv.style = "width:300px;margin:10px auto;"; cdiv.appendChild( e ); b.insertBefore(cdiv, b.lastChild); } else if( !isBlokedByDomain( location.href ) ) { var injF = document.createElement('iframe'); injF.style.border = '0'; injF.style.margin = 0; injF.style.display = 'block'; injF.style.cssFloat = 'none'; injF.style.height = '254px'; injF.style.overflow = 'hidden'; injF.style.padding = 0; injF.style.width = '300px'; injF.src = '/adm/ad/injectAd.iframe.html'; if( b && ( !isTrellix || ( typeof isTrellix == "undefined" ) ) ) // All other tripod props { var cdiv = document.createElement('div'); cdiv.style = "width:300px;margin:10px auto;"; cdiv.appendChild( injF ); b.insertBefore(cdiv, b.lastChild); } } }( document.isTrellix )); } </script> <style> #body .adCenterClass{margin:0 auto} </style> <div id="tb_container" style="background:#DFDCCF; border-bottom:1px solid #393939; position:relative; z-index:999999999!important"> <div id="tb_ad" class="adCenterClass" style="display:block!important; overflow:hidden; width:916px;"> <a href="http://adtrack.ministerial5.com/clicknew/?a=637394" title="build your own website at Tripod.com" style="float:left; width:186px; border:0"> <img src="http://ly.lygo.com/ly/tpSite/images/freeAd2.jpg" alt="Make your own free website on Tripod.com" style="border:0; display:block" /> </a> <div id="ad_container" style="display:block!important; float:left; width:728px "> <script type="text/javascript">document.write(lycos_ad['leaderboard']);</script> </div> </div> </div> <script type="text/javascript">document.write(lycos_ad['slider']);</script>  <div id="FooterAd" style="background:#DFDCCF; border-top:1px solid #393939; clear:both; display:none; width:100%!important; position:relative; z-index:999999!important; height:90px!important"> <div class="adCenterClass" style="display:block!important; overflow:hidden; width:916px;"> <a href="http://adtrack.ministerial5.com/clicknew/?a=637394" title="build your own website at Tripod.com" style="float:left; display:block; width:186px; border:0"> <img src="http://ly.lygo.com/ly/tpSite/images/freeAd2.jpg" alt="Make your own free website on Tripod.com" style="border:0; display:block; " /> </a> <div id="footerAd_container" style="display:block!important; float:left; width:728px"> <iframe id="lycosFooterAdiFrame" style="border:0; display:block; float:left; height:96px; overflow:hidden; padding:0; width:750px"></iframe> </div> </div> </div> <noscript> <img src="http://members.tripod.com/adm/img/common/ot_noscript.gif?rand=839351" alt="" width="1" height="1" />  <iframe frameborder="0" marginwidth="0" marginheight="0" scrolling="no" width="728" height="90" src="http://ad.yieldmanager.com/st?ad_type=iframe&ad_size=728x90&section=209094"></iframe>  </noscript>  <img src="http://ad.yieldmanager.com/pixel?id=1901600&t=2" width="1" height="1" />  <script type="text/javascript" src="http://ads.pro-market.net/ads/scripts/site-132783.js"></script>  <script type="text/javascript"> var __cho__ = {"pid":1694}; (function() { var c = document.createElement('script'); c.type = 'text/javascript'; c.async = true; c.src = document.location.protocol + '//cc.chango.com/static/o.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(c, s); })(); </script>  <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" rowspan="2" width=200 BGCOLOR="#FFCC66" TEXT="#080000" bgproperties="fixed" background="168c8c00dkelyh.gif"> <div> <B> </b></div> <div> <A HREF="id52.htm" TARGET="_top" TITLE="Matrix Unit"><U><B><IMG SRC="16a0b120.gif" border=0 width="11" height="18" ALT="previous" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></b></U></A><B>   </b><A HREF="id67.htm" TARGET="_top" TITLE="Powerpoint"><U><B><IMG SRC="16b0b120.gif" border=0 width="11" height="18" ALT="next" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></b></U></A><B>     </b><IMG BORDER="0" SRC="1x1.gif" HEIGHT="18" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" WIDTH="18"><B>  </b><A HREF="index.htm" TARGET="_top" TITLE="GMHS: Mrs. Bossies Algebra I Tutorial"><U><B><IMG SRC="16c12120.gif" border=0 width="18" height="18" ALT="up" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></b></U></A></div> <div> <B> <TABLE BORDER="0" CELLPADDING="2" CELLSPACING="1" WIDTH="77" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP HEIGHT= 30 WIDTH="71"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="30" ALIGN="bottom" WIDTH="71" HSPACE="0" VSPACE="0"></tD> </tR> </TABLE></b></div> <bR> </td> <td valign="top" colspan=2 height=94 BGCOLOR="#FF3300" TEXT="#080000" bgproperties="fixed" background="1693c5e1dvmwlb.gif"> <div> <FONT SIZE="5" COLOR="#000000" FACE="Times New Roman" ><B>GMHS: Mrs. Bossie's  Algebra I Tutorial</b></FONT><B>     |    </b><B> </b><A HREF="index.htm" TARGET="_top" TITLE="GMHS: Mrs. Bossies Algebra I Tutorial"><U><B>home</b></U></A></div> <div> </div> </td> </tr><tr> <td valign="top" height=386 colspan=2 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <I>Prime Factors </I></div> <div> Prime Numbers are those that are only divisible by one and the number itself.  They include, but are not limited to, 1, 2, 3, 5, 7, 11, 13, 17, 23, 29, 31, 37, 41, 43, and 47.  Notice that the only even number that is a prime number is the number 2.</div> <bR> <div> <B>To find prime factors use a factor tree like the ones below. Begin with the first prime number that will divide evenly into the number to be factored.</b></div> <bR> <div> <B><IMG SRC="1f1f8960.gif" border=0 width="248" height="150" ALT="Bitmap Image" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></b></div> <div> <B>To find the </b><FONT SIZE="2" COLOR="#0000CC" FACE="Arial" ><B>lowest common multiple</b></FONT><B>, multiply the terms in both sets, but do not use duplicated terms.  If a term appears in both factor sets, use the factors with the greatest exponent.</b></div> <div> <B><IMG SRC="1f080440.gif" border=0 width="128" height="68" ALT="Bitmap Image" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></b></div> <bR> <div> <B>To find the </b><FONT SIZE="2" COLOR="#0000FF" FACE="Arial" ><B>greatest common factor</b></FONT><B>, only use the factors that appear in both sets.  If a number is duplicated, use the duplicated factor with the smallest exponent.  The prime number 2 appears in both the factoring of 80 and 90, but in the factoring of 80, 2 has an exponent of 4 and of 90, 2 has an exponent of 1. There is only one 2 in 90, so you must use the 2.  However, 5 appears only once in factoring both numbers.</b></div> <div> <B>The </b><FONT SIZE="2" COLOR="#0000CC" FACE="Arial" ><B>GCF is  </b></FONT><B><IMG SRC="1f247160.gif" border=0 width="71" height="22" ALT="Bitmap Image" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></b></div> </td> </tr></table></body>