[讨论]一道小六的数学题，寻求答案....

逍遥居士

<p>数学天才看过来，谢谢！！</p><p>How many zeros are there at the end the product 4x8x12x16x...x2004x2008?</p><p></p><p></p><p>[em17][em17]</p>

dasasa

zero

逍遥居士

<p>How to get this answer? </p><p>[em31][em31]</p><p>at least ... 20x...x30...x40...x100...x2004x2008, so many zero inside, right?</p>[em34][em34]

银牌助教

<p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">4x8x12x16x...x2004x2008<p></p></font></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><p><font face="Times New Roman"><strong>&nbsp;</strong></font></p></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><strong><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">方法</span><font face="Times New Roman">1</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，老爸的笨办法</span></strong></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">――</span><font face="Times New Roman">4</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的</span><font face="Times New Roman">52</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">次方×（</span><font face="Times New Roman">1</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">2</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">3</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×。。。×</span><font face="Times New Roman">502</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">）</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><p><font face="Times New Roman">&nbsp;</font></p></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">――－</span><font face="Times New Roman">1</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">2</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">3</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。。。×</span><font face="Times New Roman">100 </font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">有</span><font face="Times New Roman">24</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">因为</span><font face="Times New Roman">10</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span><font face="Times New Roman">20</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。。</span><font face="Times New Roman">100</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">有</span><font face="Times New Roman">11</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">2</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">5</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span><font face="Times New Roman">12</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">15</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。。。</span><font face="Times New Roman">92</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">95</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">有</span><font face="Times New Roman">10</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">由于有</span><font face="Times New Roman">25</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span><font face="Times New Roman">50</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span><font face="Times New Roman">75</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，是多</span><font face="Times New Roman">3</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">5</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，所以多</span><font face="Times New Roman">3</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">2</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数远多于</span><font face="Times New Roman">5</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数。。。所以不必担心太多个</span><font face="Times New Roman">5</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><p><font face="Times New Roman">&nbsp;</font></p></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">―――同理，</span><font face="Times New Roman">101</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">－</span><font face="Times New Roman">500</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">有</span><font face="Times New Roman">24</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">×</span><font face="Times New Roman">4</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">＝</span><font face="Times New Roman">96</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">同时，由于有</span><font face="Times New Roman">125</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，，</span><font face="Times New Roman">250</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span><font face="Times New Roman">375</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，</span><font face="Times New Roman">500</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，再所以多</span><font face="Times New Roman">4</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><p><font face="Times New Roman">&nbsp;</font></p></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">――<u>一共有</u></span><u><font face="Times New Roman">124</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">。</span></u></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><p><font face="Times New Roman">&nbsp;</font></p></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><strong><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">方法</span><font face="Times New Roman">2</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">，儿子的奥数法。</span></strong></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">1</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">－</span><font face="Times New Roman">500</font></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">有</span><font face="Times New Roman">5</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数</span><font face="Times New Roman">100</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">25</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数</span><font face="Times New Roman">20</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">125</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数</span><font face="Times New Roman">4</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><font face="Times New Roman">2</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数远多于</span><font face="Times New Roman">5</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">的倍数。。。</span></p><p class="MsoNormal" style="MARGIN: 0in 0in 0pt;"><u><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">所以</span><font face="Times New Roman">124</font><span lang="ZH-CN" style="FONT-FAMILY: SimSun; mso-ascii-font-family: &quot;Times New Roman&quot;; mso-hansi-font-family: &quot;Times New Roman&quot;;">个</span><font face="Times New Roman">0</font></u></p><p></p>