PRIME FACTORING CALCULATOR CODE

Wednesday, 30 September 2015

PRIME FACTORING CALCULATOR CODE

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COPY AND PASTE BELOW CODE IN POST HTML SECTION
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<html>
<head>
<style type="text/css">
.CalcTable {
padding: 4px 6px;
border: solid #ddd 1px;
border-collapse: collapse
}
.CalcTitleCell {
background-color: transparent;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 130%;
font-weight: bold;
text-align: center;
height: 30px
}
.CalcInstructCell {
padding: 5px;
border-bottom: solid #ddd 1px
}
.CalcRowTitleCell {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: left;
border: solid #ddd 1px
}
.CalcColCell {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: center;
border: solid #ddd 1px
}
.CalcColCellLeft {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: left;
padding-left: 5px;
border: solid #ddd 1px
}
.CalcColCellRight {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: right;
border: solid #ddd 1px
}
.CalcRowOdd {
background-color: #eee
}
.CalcRowEven {
background-color: #fff
}
.CalcInDescCell {
padding-left: 5px;
padding-right: 5px
}
.CalcOutDescCell {
text-align: left
}
.CalcInFldCell {
text-align: right;
padding-right: 5px;
font-size: 8pt
}
.CalcOutFldCell {
text-align: right;
padding-right: 5px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-size: 8pt
}
.CalcInFld {
font-size: 8pt
}
.CalcInFldFix {
font-size: 8pt
}
.CalcSelectFix {
font-size: 8pt
}
.CalcOutFldOddFix {
border: medium none;
background-color: #eee;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldEvenFix {
border: medium none;
background-color: #fff;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldOdd {
border: medium none;
background-color: #eee;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldEven {
border: medium none;
background-color: #fff;
font-weight: normal;
text-align: right;
font-size: 8pt
}
.CalcOutFldBoldOdd {
border: medium none;
background-color: #eee;
font-weight: bold;
text-align: right;
font-size: 8pt
}
.CalcOutFldBoldEven {
border: medium none;
background-color: #fff;
font-weight: bold;
text-align: right;
font-size: 8pt
}
.CalcButtonCell {
text-align: center;
border: solid #ddd 1px
}
.CalcButton {}.CalcSummaryCell {
padding-left: 5px;
padding-right: 5px;
background-color: #fff;
border: solid #ddd 1px
}
.ChartTable {
border-collapse: collapse
}
.ChartBody {}.ChartColHead1 {
background-color: #1d487e;
color: #fff;
font-family: Verdana, Arial, sans-serif;
font-size: 100%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.ChartColHead1Small {
background-color: #1d487e;
color: #fff;
font-family: Arial, sans-serif;
font-size: 80%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.ChartColHead2 {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
border: solid #ddd 1px
}
.ChartRowOdd {
background-color: #eee
}
.ChartRowEven {
background-color: #fff
}
.ChartTextCell {
text-align: center;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartTextCellLeft {
text-align: left;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartNumCell {
text-align: right;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartNumCellSmall {
font-family: Arial, sans-serif;
font-size: 85%;
text-align: right;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.ChartSubCell {
text-align: right;
border-top: solid #000 2px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-weight: bold;
background-color: #ccc;
padding-left: 4px;
padding-right: 2px
}
.ChartTotCell {
text-align: right;
border-top: double #000 3px;
border-bottom: double #000 3px;
border-left: solid #ddd 1px;
border-right: solid #ddd 1px;
font-weight: bold;
background-color: #ccc;
padding-left: 4px;
padding-right: 2px
}
#dhtmltooltip {
position: absolute;
left: -300px;
width: 150px;
border: 1px solid #000;
padding: 2px;
background-color: #ffffe0;
visibility: hidden;
z-index: 100;
filter: progid: DXImageTransform.Microsoft.Shadow(color=gray, direction=135)
}
#dhtmlpointer {
position: absolute;
left: -300px;
z-index: 101;
visibility: hidden
}
.div_help {
font-family: arial, verdana, helvetica, sans-serif;
font-size: small;
text-align: left;
padding: 10px
}
.SideCalcTitleCell {
font-size: 100%;
background-color: #000;
font-weight: bold;
color: #fff
}
.SideCalcResult {
text-align: right;
width: 94%;
background-color: #eee;
border: solid #000 1px;
font-family: arial, sans-serif;
font-size: 11pt;
color: #000;
padding-right: 5px
}
.SideCalcNum {
font-weight: bold;
width: 30px
}
.SideCalcSign {
font-weight: bold;
color: #00f;
width: 30px
}
.SideCalcClr {
font-weight: bold;
width: 30px;
color: red
}
.SideCalcClrTape {
font-weight: bold;
width: 94%;
color: #000
}
.SideCalcTapeCell {
text-align: center;
background-color: #ccc;
border-top: solid #ccc 1px;
border-left: solid #ccc 1px;
border-right: solid #ccc 1px;
border-bottom: dashed #000 1px;
font-family: courier, arial, sans-serif;
font-size: 10pt;
color: #000;
padding-right: 0px;
padding-left: 0px
}
.BelowCalcTable {
border-collapse: collapse
}
.BelowCalcAdCell {}.BelowCalcColHead {
background-color: #ccc;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
border: solid #ccc 1px
}
.BelowCalcImgHead {
background-color: #ccc;
text-align: center;
border: solid #ccc 1px
}
.BelowCalcLinkCell {
text-align: left;
padding-left: 2px;
padding-right: 2px;
border: solid #ddd 1px
}
.sppTable {
width: 300px;
border-collapse: collapse
}
.sppRow {
background-color: #ddd
}
.sppColHead {
background-color: #fff;
color: #1d487e;
font-family: Verdana, Arial, sans-serif;
font-size: 85%;
font-weight: bold;
text-align: center;
width: 240px;
border-left: solid #8f8fb3 1px;
border-top: solid #8f8fb3 1px
}
.sppImgHead {
background-color: #fff;
text-align: center;
width: 60px;
border-right: solid #8f8fb3 1px;
border-top: solid #8f8fb3 1px
}
.sppLinkCell {
font-size: 85%;
text-align: left;
padding-left: 2px;
padding-right: 2px;
border-left: solid #8f8fb3 1px;
border-bottom: solid #8f8fb3 1px;
border-right: solid #8f8fb3 1px
}
.fb_like_button {
border: 1px dotted #000;
background-color: #eee;
padding: 10px;
width: 320px;
float: right
}
.blogItItem {
margin: 18px 0;
padding: 0 12px;
border: 1px solid #ccc;
background: #eee;
box-shadow: 4px 4px 4px #ccc
}
.blogItItem h6 {
font-style: normal;
font-weight: normal;
font-size: 80%
}
.leftnav_heading {
text-align: center
}
.leftnav_heading a {
font-family: Arial, Helvetica, sans-serif;
font-size: 15px;
text-align: left;
line-height: 14px;
background-image: url();
color: #333;
text-decoration: none;
width: 169px;
height: 41px;
display: block;
font-weight: bold;
margin-top: 18px
}
.leftnav_heading a:hover {
background-image: url()
}
.leftnav_heading span {
display: block;
padding: 7px
}
.texttop {
font-size: 15px;
line-height: 14px;
color: #333;
text-shadow: 0px 0px 2px #fff;
margin-bottom: 10px
}
.textbottom {
color: #333;
font-size: 15px;
text-shadow: 0px 0px 2px #fff
}
#mobileBtnDiv {
display: none
}
@media only screen and (max-device-width: 640px) {
#mobileBtnDiv {
display: block;
width: 100%;
text-align: center;
padding: 10px
}
#mobileBtn {
display: inline-block;
text-align: center;
width: 50%;
font-size: 2em;
line-height: 2em;
background-color: #0f5378;
color: #fff;
text-decoration: none;
border-radius: 10px;
border: 1px solid #fff
}
#mobileBtn:hover {
background-color: #4cc2ce;
color: #087197
}
}
</style>

<script>
var mod_pagespeed_0Xrc_H$I0b = "var lead_zero_ar=new Array(\"\",\"0\",\"00\",\"000\",\"0000\",\"00000\",\"000000\");var prime_ar=new Array(2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,419,421,431,433,439,443,449,457,461,463,467,479,487,491,499,503,509,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,659,661,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,839,853,857,859,863,877,881,883,887,907,911,919,929,937,941,947,953,967,971,977,983,991,997,1009,1013,1019,1021,1031,1033,1039,1049,1051,1061,1063,1069,1087,1091,1093,1097,1103,1109,1117,1123,1129,1151,1153,1163,1171,1181,1187,1193,1201,1213,1217,1223,1229,1231,1237,1249,1259,1277,1279,1283,1289,1291,1297,1301,1303,1307,1319,1321,1327,1361,1367,1373,1381,1399,1409,1423,1427,1429,1433,1439,1447,1451,1453,1459,1471,1481,1483,1487,1489,1493,1499,1511,1523,1531,1543,1549,1553,1559,1567,1571,1579,1583,1597,1601,1607,1609,1613,1619,1621,1627,1637,1657,1663,1667,1669,1693,1697,1699,1709,1721,1723,1733,1741,1747,1753,1759,1777,1783,1787,1789,1801,1811,1823,1831,1847,1861,1867,1871,1873,1877,1879,1889,1901,1907,1913,1931,1933,1949,1951,1973,1979,1987,1993,1997,1999,2003,2011,2017,2027,2029,2039,2053,2063,2069,2081,2083,2087,2089,2099,2111,2113,2129,2131,2137,2141,2143,2153,2161,2179,2203,2207,2213,2221,2237,2239,2243,2251,2267,2269,2273,2281,2287,2293,2297,2309,2311,2333,2339,2341,2347,2351,2357,2371,2377,2381,2383,2389,2393,2399,2411,2417,2423,2437,2441,2447,2459,2467,2473,2477,2503,2521,2531,2539,2543,2549,2551,2557,2579,2591,2593,2609,2617,2621,2633,2647,2657,2659,2663,2671,2677,2683,2687,2689,2693,2699,2707,2711,2713,2719,2729,2731,2741,2749,2753,2767,2777,2789,2791,2797,2801,2803,2819,2833,2837,2843,2851,2857,2861,2879,2887,2897,2903,2909,2917,2927,2939,2953,2957,2963,2969,2971,2999,3001,3011,3019,3023,3037,3041,3049,3061,3067,3079,3083,3089,3109,3119,3121,3137,3163,3167,3169,3181,3187,3191,3203,3209,3217,3221,3229,3251,3253,3257,3259,3271,3299,3301,3307,3313,3319,3323,3329,3331,3343,3347,3359,3361,3371,3373,3389,3391,3407,3413,3433,3449,3457,3461,3463,3467,3469,3491,3499,3511,3517,3527,3529,3533,3539,3541,3547,3557,3559,3571,3581,3583,3593,3607,3613,3617,3623,3631,3637,3643,3659,3671,3673,3677,3691,3697,3701,3709,3719,3727,3733,3739,3761,3767,3769,3779,3793,3797,3803,3821,3823,3833,3847,3851,3853,3863,3877,3881,3889,3907,3911,3917,3919,3923,3929,3931,3943,3947,3967,3989,4001,4003,4007,4013,4019,4021,4027,4049,4051,4057,4073,4079,4091,4093,4099,4111,4127,4129,4133,4139,4153,4157,4159,4177,4201,4211,4217,4219,4229,4231,4241,4243,4253,4259,4261,4271,4273,4283,4289,4297,4327,4337,4339,4349,4357,4363,4373,4391,4397,4409,4421,4423,4441,4447,4451,4457,4463,4481,4483,4493,4507,4513,4517,4519,4523,4547,4549,4561,4567,4583,4591,4597,4603,4621,4637,4639,4643,4649,4651,4657,4663,4673,4679,4691,4703,4721,4723,4729,4733,4751,4759,4783,4787,4789,4793,4799,4801,4813,4817,4831,4861,4871,4877,4889,4903,4909,4919,4931,4933,4937,4943,4951,4957,4967,4969,4973,4987,4993,4999,5003,5009,5011,5021,5023,5039,5051,5059,5077,5081,5087,5099,5101,5107,5113,5119,5147,5153,5167,5171,5179,5189,5197,5209,5227,5231,5233,5237,5261,5273,5279,5281,5297,5303,5309,5323,5333,5347,5351,5381,5387,5393,5399,5407,5413,5417,5419,5431,5437,5441,5443,5449,5471,5477,5479,5483,5501,5503,5507,5519,5521,5527,5531,5557,5563,5569,5573,5581,5591,5623,5639,5641,5647,5651,5653,5657,5659,5669,5683,5689,5693,5701,5711,5717,5737,5741,5743,5749,5779,5783,5791,5801,5807,5813,5821,5827,5839,5843,5849,5851,5857,5861,5867,5869,5879,5881,5897,5903,5923,5927,5939,5953,5981,5987,6007,6011,6029,6037,6043,6047,6053,6067,6073,6079,6089,6091,6101,6113,6121,6131,6133,6143,6151,6163,6173,6197,6199,6203,6211,6217,6221,6229,6247,6257,6263,6269,6271,6277,6287,6299,6301,6311,6317,6323,6329,6337,6343,6353,6359,6361,6367,6373,6379,6389,6397,6421,6427,6449,6451,6469,6473,6481,6491,6521,6529,6547,6551,6553,6563,6569,6571,6577,6581,6599,6607,6619,6637,6653,6659,6661,6673,6679,6689,6691,6701,6703,6709,6719,6733,6737,6761,6763,6779,6781,6791,6793,6803,6823,6827,6829,6833,6841,6857,6863,6869,6871,6883,6899,6907,6911,6917,6947,6949,6959,6961,6967,6971,6977,6983,6991,6997,7001,7013,7019,7027,7039,7043,7057,7069,7079,7103,7109,7121,7127,7129,7151,7159,7177,7187,7193,7207,7211,7213,7219,7229,7237,7243,7247,7253,7283,7297,7307,7309,7321,7331,7333,7349,7351,7369,7393,7411,7417,7433,7451,7457,7459,7477,7481,7487,7489,7499,7507,7517,7523,7529,7537,7541,7547,7549,7559,7561,7573,7577,7583,7589,7591,7603,7607,7621,7639,7643,7649,7669,7673,7681,7687,7691,7699,7703,7717,7723,7727,7741,7753,7757,7759,7789,7793,7817,7823,7829,7841,7853,7867,7873,7877,7879,7883,7901,7907,7919,7927,7933,7937,7949,7951,7963,7993,8009,8011,8017,8039,8053,8059,8069,8081,8087,8089,8093,8101,8111,8117,8123,8147,8161,8167,8171,8179,8191,8209,8219,8221,8231,8233,8237,8243,8263,8269,8273,8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factor_ar=new Array();function LoadPrimeNumbers(number){var this_number,divisor,not_prime;this_number=3;while(this_number<=number&&this_number<104730){divisor=parseInt(this_number/2);not_prime=0;while(divisor>1){if(this_number%divisor==0){not_prime=1;divisor=0;}else{divisor=divisor-1;}}\nif(not_prime==0){prime_ar.push(this_number);}\nthis_number=this_number+1;}}\nfunction calc_prime(form){if(factor_ar.length>0){factor_ar.splice(0,factor_ar.length);}\nvar v_number=sn(document.calc.number.value);if(v_number==0){alert(\"Please enter a number to factor.\");document.calc.number.focus();}else\nif(v_number>1000000){alert(\"Please enter a number that is less than 1 million.\");document.calc.number.focus();}else{all_factors=0;var i=0;var cnt=0;var new_number=v_number;var prime_list=\"\";for(i=0;i<prime_ar.length;i++){if(new_number%prime_ar[i]==0){cnt+=1;if(cnt==1){prime_list+=\"\"+prime_ar[i];}else{prime_list+=\" * \"+prime_ar[i];}\nfactor_ar.push(prime_ar[i]);new_number=new_number/prime_ar[i];i=-1;}}\nvar mult_list=\"\";var past_num=1;var new_num=1;var accum_num=0;var tbl=\"<center><table>\";for(var j=0;j<factor_ar.length;j++){new_num=past_num*factor_ar[j];tbl+=\"<tr><td align='right'>\"+fns(factor_ar[j],0,1,0,0)+\" * \"+fns(past_num,0,1,0,0)+\"</td>\";tbl+=\"<td> = \"+fns(new_num,0,1,0,0)+\"</td></tr>\";past_num=new_num;}\ntbl+=\"</table></center>\";var last=factor_ar[0];var next=0;var facts=\"\";var exp=1;for(var x=0;x<factor_ar.length;x++){next=factor_ar[x+1];if(last==next){exp+=1;}else{if(exp>1){facts+=\"\"+last+\"\"+exp+\"\";}else{facts+=\"\"+last+\"\";}\nif(x+1<factor_ar.length){facts+=\" * \";}\nlast=next;exp=1;}}\ndocument.calc.num_factors.value=factor_ar.length;document.calc.factor_list.value=prime_list;var v_summary=\" <img src='https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjekb-CDIuSDQ5trkOeJT6QX2pYLLweUu-i8qlZH47vAgKlKyLlygNGC6RT8K9Hzh0T5Ar138CxNj2mqNv7d5qgc7N8upoR62NHwn7GJ1RT2ekPmEqCEF4w_RM-vKvWuWhRC5C7ma4RDzeJ/s72-c/TheOnlineCalculator.png' width='60' height='54' class='ItemLeft' />\";v_summary+=\"According to my calculations, the above prime factorization of the number \"+v_number+\" simplifies to \";v_summary+=\"the following. <center>\"+facts+\"</center> \";v_summary+=\"The following prime factors multiplications double checks to make sure the above result does in fact \";v_summary+=\"multiply out to \"+v_number+\" (if the last product is not equal to \"+v_number+\", then the number \";v_summary+=\"was likely too large for the calculator to complete the prime factorization).\";v_summary+=\" <center>\"+tbl+\"</center> \";document.getElementById(\"summary\").innerHTML=v_summary;}}\nfunction clear_results(form){document.calc.num_factors.value=\"\";document.calc.factor_list.value=\"\";factor_ar.splice(0,factor_ar.length);document.getElementById(\"summary\").innerHTML=\"\";}\nfunction reset_calc(form){factor_ar.splice(0,factor_ar.length);document.getElementById(\"summary\").innerHTML=\"\";document.calc.reset();}";
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you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[5,\"Income\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[6,\"Invest\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[7,\"Loan\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[8,\"Mortgage\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[9,\"Finance\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[10,\"Retire\",\"SocialMedia\",\"If you like this calculator, please pay it forward with a Like, Tweet, +1, or Pin.\"],[11,\"College\",\"WyzAnt\",\"Find a <a href='http://www.shareasale.com/r.cfm?b=246096&u=724440&m=28558&urllink=&afftrack=' rel='nofollow' target='_blank'>local tutor</a> 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<script>eval(mod_pagespeed_0Xrc_H$I0b);</script>
<script>eval(mod_pagespeed_PJWHvBYF1j);</script>

</head>

<body>
<form name="calc" method="post" action="#">
<table class="CalcTable">
<tbody>
<tr>
<td colspan="2" align="center" class="CalcTitleCell">
PRIME FACTORING CALCULATOR
</td>
</tr>
<tr>
<td colspan="2" class="CalcInstructCell">
 
 
Instructions: Enter the number you would like to calculate the prime factorization for, then click the "Begin Factoring Prime Numbers" button.


Mouse over the blue question marks for a further explanation of each entry field. More in-depth explanations can be found in the glossary of terms located beneath the Prime Factoring Calculator.

</td>
</tr>
<tr class="ChartRowOdd">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('Enter the number you would like the prime factorization calculator to find the primes for (maximum of 1 million). Note that the factorization of numbers larger than 10,000 may not be completed, however the prime factoring calculator will show its work so you can check to make sure. ', 250)" ; onMouseout="hideddrivetip()">
Prime factorization number:
</td>
<td width="125" class="ChartTextCell">
<input type="text" name="number" class="CalcInFld" size="12" maxlength="12" value="" onKeyUp="clear_results(this.form)"/>
</td>
</tr>
<tr class="ChartRowEven">
<td colspan="2" class="ChartTextCell">
<input type="button" class="CalcButton" value="Begin Factoring Prime Numbers" onClick="calc_prime(this.form)"/>
<input type="button" class="CalcButton" value="Reset" onClick="reset_calc(this.form)"/>
</td>
</tr>
<tr class="ChartRowOdd">
<td width="475" class="ChartTextCellLeft">
<img src="data:image/jpeg;base64,/9j/4AAQSkZJRgABAgAAZABkAAD/2wBDAAYEBAQFBAYFBQYJBgUGCQsIBgYICwwKCgsKCgwQDAwMDAwMEAwODxAPDgwTExQUExMcGxsbHB8fHx8fHx8fHx//2wBDAQcHBw0MDRgQEBgaFREVGh8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx8fHx//wAARCAAPAA8DAREAAhEBAxEB/8QAFQABAQAAAAAAAAAAAAAAAAAABQP/xAAkEAACAgEDBAIDAAAAAAAAAAABAgMFBAYRIQAHEjETIhUjYf/EABYBAQEBAAAAAAAAAAAAAAAAAAIDBf/EACARAQAABgIDAQAAAAAAAAAAAAEAAgMREkExURNhceH/2gAMAwEAAhEDEQA/AL5OrLB+4uo6+zvdSmBLLKhra6kyX+UkZLqEVXYqqog4AH862SkeOVCXjcZjO5os3OoYr/z+J3mXSA1ZcZ9ZNj5SMWzJWnjaSvlbY/Yx/NE+xU7cMAffU5sWjniD89wy5UxybfkDrp3VEHd+1salYcvMaysHxMbCtqyHM/Y8vlskrZDKRGW81aLcDf0eRTOVpA9Gm0DCbyKduyAtHaOu4LvId8iuLmutUAS1rZH85K3IQcJkM23k32b0o5OwBPVatUtvk09nqBTpt9cOzqP/2Q==" alt="Help" onMouseover="ddrivetip('This is how many prime numbers were found to be factors of the entered number.', 250)" ; onMouseout="hideddrivetip()">
Number of prime factors:
</td>
<td width="125" class="ChartTextCell">
<input type="text" id="num_factors" name="num_factors" size="12" class="CalcOutFldOdd"/>
</td>
</tr>
<tr>
<td colspan="2" class="ChartColHead2">
<img src="data:image/jpeg;base64,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" alt="Help" onMouseover="ddrivetip('This is the list of prime numbers found to be factors of the entered number. Just beneath the list you will see the simplified primes format, along with the series of multiplications that checks to make sure the factorization was calculated correctly (numbers greater than 10,000 may be too large to complete the factorization).', 250)" ; onMouseout="hideddrivetip()">
Prime Number List:
</td>
</tr>
<tr>
<tr class="ChartRowEven">
<td colspan="2" class="ChartTextCell">
<textarea id="factor_list" name="factor_list" cols="50" rows="4" wrap="virtual"></textarea>
</td>
</tr>
<tr class="ChartRowOdd">
<td colspan="2" class="CalcSummaryCell" id="summary">
</td>
</tr>
</tr>
</tbody>
</table>
</form>
</body>
</html>

What Are Prime Numbers?

Prime number definition: Any number greater than 1 that is only divisible by 1 and the number itself. For example, the number 11 is a prime number because no number other than 1 and 11 can be divided into 11 evenly (no remainder). Note that primes are also referred to as natural numbers.

The number 12, on the other hand, is not prime number because it can be divided evenly by the factors 1, 2, 3, 4, 6, and 12. This and other non-primes are also referred to as composite numbers.

How to Manually Find Prime Factors of a Number

If you didn't have access to the handy prime factorization calculator below, the manual primes factorization of a number can be tedious and time consuming.

To illustrate the manual primes factoring of say, the number 24, you will first need a prime numbers list to refer to. Here is a list of all primes under 100:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,
43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Next, using upside down long division and starting with the smallest of the primes and working your way up, you begin a series of divisions until the quotient is equal to 1, like this:

2	24
2	12
2	6
3	3

Prime Factorization of 24 = 2 x 2 x 2 x 3

Using a rule of exponents, x^a * x^b = x^{(a + b)}, the above list of prime numbers found for the number 24 can then be simplified into the following exponential expression:

2³ * 3

With that, let's use the Prime Factoring Calculator to find all prime factors of a given number.