[Script Info]
Title: 
[Events]
Format: Layer, Start, End, Style, Name, MarginL, MarginR, MarginV, Effect, Text
Dialogue: 0,0:00:00.07,0:00:04.26,Default,,0000,0000,0000,,找出120所有的因数
Dialogue: 0,0:00:04.26,0:00:05.16,Default,,0000,0000,0000,,另一种理解方式就是
Dialogue: 0,0:00:05.16,0:00:09.52,Default,,0000,0000,0000,,找出所有可以整除120的数
Dialogue: 0,0:00:09.52,0:00:12.10,Default,,0000,0000,0000,,第一个 很明显
Dialogue: 0,0:00:12.10,0:00:14.22,Default,,0000,0000,0000,,所有整数都可以被1整除
Dialogue: 0,0:00:14.22,0:00:21.10,Default,,0000,0000,0000,,所以有120=1×120
Dialogue: 0,0:00:21.10,0:00:26.53,Default,,0000,0000,0000,,我们在这列个表
Dialogue: 0,0:00:26.53,0:00:28.42,Default,,0000,0000,0000,,这就是我们的因数表
Dialogue: 0,0:00:28.42,0:00:29.99,Default,,0000,0000,0000,,刚刚我们找到了两个因数
Dialogue: 0,0:00:29.99,0:00:31.97,Default,,0000,0000,0000,,我们想了：它能不能被1整除？
Dialogue: 0,0:00:31.97,0:00:33.97,Default,,0000,0000,0000,,由于任何整数都能被1整除
Dialogue: 0,0:00:33.97,0:00:37.46,Default,,0000,0000,0000,,120是整数 所以1是最小的因数
Dialogue: 0,0:00:37.46,0:00:38.56,Default,,0000,0000,0000,,1是一个因数
Dialogue: 0,0:00:38.56,0:00:40.53,Default,,0000,0000,0000,,而且是最小的一个
Dialogue: 0,0:00:40.53,0:00:42.15,Default,,0000,0000,0000,,最大的因数是120
Dialogue: 0,0:00:42.15,0:00:45.62,Default,,0000,0000,0000,,120不可能被比120大的数
Dialogue: 0,0:00:45.62,0:00:48.99,Default,,0000,0000,0000,,所整除
Dialogue: 0,0:00:48.99,0:00:52.12,Default,,0000,0000,0000,,120不能被121整除
Dialogue: 0,0:00:52.12,0:00:57.33,Default,,0000,0000,0000,,所以因数表中最大的就是120
Dialogue: 0,0:00:57.33,0:00:58.63,Default,,0000,0000,0000,,现在我们来想一下其它的
Dialogue: 0,0:00:58.63,0:01:02.40,Default,,0000,0000,0000,,想一下2可不可以整除120？
Dialogue: 0,0:01:02.40,0:01:06.50,Default,,0000,0000,0000,,120等于2乘以什么吗？
Dialogue: 0,0:01:06.50,0:01:08.08,Default,,0000,0000,0000,,当你们看到这里时
Dialogue: 0,0:01:08.08,0:01:12.59,Default,,0000,0000,0000,,你们或许会马上发现120是偶数
Dialogue: 0,0:01:12.59,0:01:15.05,Default,,0000,0000,0000,,它的个位是0
Dialogue: 0,0:01:15.05,0:01:18.17,Default,,0000,0000,0000,,只要个位是0 2 4 6或者8
Dialogue: 0,0:01:18.17,0:01:19.70,Default,,0000,0000,0000,,或者说只要是个偶数
Dialogue: 0,0:01:19.70,0:01:21.10,Default,,0000,0000,0000,,某个整数是偶数
Dialogue: 0,0:01:21.10,0:01:23.31,Default,,0000,0000,0000,,那么这个整数就能被2整除
Dialogue: 0,0:01:23.31,0:01:27.22,Default,,0000,0000,0000,,为了计算出什么乘以2是120
Dialogue: 0,0:01:27.22,0:01:32.90,Default,,0000,0000,0000,,可以把120看成12×10
Dialogue: 0,0:01:32.90,0:01:34.58,Default,,0000,0000,0000,,或者
Dialogue: 0,0:01:34.58,0:01:38.62,Default,,0000,0000,0000,,可以看成2×6×10 或者2×60
Dialogue: 0,0:01:38.62,0:01:40.57,Default,,0000,0000,0000,,你们喜欢的话 可以除一下
Dialogue: 0,0:01:40.57,0:01:43.55,Default,,0000,0000,0000,,120除以2
Dialogue: 0,0:01:43.55,0:01:45.35,Default,,0000,0000,0000,,1除以2得不到整数
Dialogue: 0,0:01:45.35,0:01:47.34,Default,,0000,0000,0000,,12除以2是6
Dialogue: 0,0:01:47.34,0:01:48.97,Default,,0000,0000,0000,,6×2=12
Dialogue: 0,0:01:48.97,0:01:50.03,Default,,0000,0000,0000,,相减
Dialogue: 0,0:01:50.03,0:01:51.11,Default,,0000,0000,0000,,是0
Dialogue: 0,0:01:51.11,0:01:52.28,Default,,0000,0000,0000,,把0拿下来
Dialogue: 0,0:01:52.28,0:01:54.00,Default,,0000,0000,0000,,0除以2是0
Dialogue: 0,0:01:54.00,0:01:56.78,Default,,0000,0000,0000,,0×2=0 没有余数
Dialogue: 0,0:01:56.78,0:01:58.91,Default,,0000,0000,0000,,所以是60
Dialogue: 0,0:01:58.91,0:02:01.40,Default,,0000,0000,0000,,那么我们又得到了两个因数
Dialogue: 0,0:02:01.40,0:02:03.72,Default,,0000,0000,0000,,我们得到了新的因数
Dialogue: 0,0:02:03.72,0:02:07.44,Default,,0000,0000,0000,,可以确定第二小的因数是2
Dialogue: 0,0:02:07.44,0:02:09.02,Default,,0000,0000,0000,,如果从大的一边开始数
Dialogue: 0,0:02:09.02,0:02:10.14,Default,,0000,0000,0000,,第二大的
Dialogue: 0,0:02:10.14,0:02:13.35,Default,,0000,0000,0000,,是60
Dialogue: 0,0:02:13.35,0:02:14.98,Default,,0000,0000,0000,,现在再看一下3
Dialogue: 0,0:02:14.98,0:02:19.44,Default,,0000,0000,0000,,120等于3乘以什么呢？
Dialogue: 0,0:02:19.44,0:02:21.13,Default,,0000,0000,0000,,我们可以试着
Dialogue: 0,0:02:21.13,0:02:23.79,Default,,0000,0000,0000,,按照正常的除法做法一直除下去
Dialogue: 0,0:02:23.79,0:02:25.64,Default,,0000,0000,0000,,但你们已经知道整除性的规律了
Dialogue: 0,0:02:25.64,0:02:28.12,Default,,0000,0000,0000,,为了确定某数是否可以被3整除
Dialogue: 0,0:02:28.12,0:02:31.56,Default,,0000,0000,0000,,可以把它的各位数字加起来 如果和被3整除
Dialogue: 0,0:02:31.56,0:02:32.41,Default,,0000,0000,0000,,那么这个数就能被3整除
Dialogue: 0,0:02:32.41,0:02:38.85,Default,,0000,0000,0000,,把120的-- 我在这里做
Dialogue: 0,0:02:38.85,0:02:41.65,Default,,0000,0000,0000,,1+2+0
Dialogue: 0,0:02:41.65,0:02:44.92,Default,,0000,0000,0000,,也就是1加2 等于3 再加0 等于3
Dialogue: 0,0:02:44.92,0:02:48.57,Default,,0000,0000,0000,,3肯定可以被3整除
Dialogue: 0,0:02:48.57,0:02:52.08,Default,,0000,0000,0000,,所以120可以被3整除
Dialogue: 0,0:02:52.08,0:02:56.69,Default,,0000,0000,0000,,你们可以心算
Dialogue: 0,0:02:56.69,0:02:57.89,Default,,0000,0000,0000,,3乘以多少是120
Dialogue: 0,0:02:57.89,0:03:00.82,Default,,0000,0000,0000,,12除以3是4
Dialogue: 0,0:03:00.82,0:03:03.55,Default,,0000,0000,0000,,接下来你们-- 我还是写一下吧
Dialogue: 0,0:03:03.55,0:03:05.91,Default,,0000,0000,0000,,为了那些想看过程的人
Dialogue: 0,0:03:05.91,0:03:08.16,Default,,0000,0000,0000,,12除以3是4
Dialogue: 0,0:03:08.16,0:03:10.29,Default,,0000,0000,0000,,4×3=12
Dialogue: 0,0:03:10.29,0:03:11.53,Default,,0000,0000,0000,,相减
Dialogue: 0,0:03:11.53,0:03:12.74,Default,,0000,0000,0000,,等于0
Dialogue: 0,0:03:12.74,0:03:14.32,Default,,0000,0000,0000,,把0拿下来
Dialogue: 0,0:03:14.32,0:03:16.78,Default,,0000,0000,0000,,0除以3是0
Dialogue: 0,0:03:16.78,0:03:18.43,Default,,0000,0000,0000,,0×3=0
Dialogue: 0,0:03:18.43,0:03:20.09,Default,,0000,0000,0000,,没有余数
Dialogue: 0,0:03:20.09,0:03:24.71,Default,,0000,0000,0000,,所以120除以3是40
Dialogue: 0,0:03:24.71,0:03:27.75,Default,,0000,0000,0000,,如果心算的话
Dialogue: 0,0:03:27.75,0:03:29.57,Default,,0000,0000,0000,,120=12×10
Dialogue: 0,0:03:29.57,0:03:34.28,Default,,0000,0000,0000,,12除以3是4 4需要再乘以10
Dialogue: 0,0:03:34.28,0:03:35.53,Default,,0000,0000,0000,,因为还剩一个10
Dialogue: 0,0:03:35.53,0:03:36.69,Default,,0000,0000,0000,,你们可以选择任意一种适合你们的方法
Dialogue: 0,0:03:36.69,0:03:39.56,Default,,0000,0000,0000,,或者你们可以忽略0 直接除以3
Dialogue: 0,0:03:39.56,0:03:41.39,Default,,0000,0000,0000,,得到4 然后把0放回去
Dialogue: 0,0:03:41.39,0:03:42.04,Default,,0000,0000,0000,,这些方法都可以
Dialogue: 0,0:03:42.04,0:03:43.65,Default,,0000,0000,0000,,我们又得到两个因数
Dialogue: 0,0:03:43.65,0:03:50.84,Default,,0000,0000,0000,,在小的这一边 是3 大的这边 是40
Dialogue: 0,0:03:50.84,0:03:53.28,Default,,0000,0000,0000,,现在看一下4能不能被120整除
Dialogue: 0,0:03:53.28,0:03:56.13,Default,,0000,0000,0000,,4的整除规律是
Dialogue: 0,0:03:56.13,0:03:58.80,Default,,0000,0000,0000,,忽略十位以上的位
Dialogue: 0,0:03:58.80,0:04:00.80,Default,,0000,0000,0000,,只看最后的这两位
Dialogue: 0,0:04:00.80,0:04:05.38,Default,,0000,0000,0000,,所以如果要判断120是不是被4整除
Dialogue: 0,0:04:05.38,0:04:07.10,Default,,0000,0000,0000,,只需要看它的后两位
Dialogue: 0,0:04:07.10,0:04:08.76,Default,,0000,0000,0000,,也就是20
Dialogue: 0,0:04:08.76,0:04:12.12,Default,,0000,0000,0000,,20可以被4整除
Dialogue: 0,0:04:12.12,0:04:14.32,Default,,0000,0000,0000,,所以120也可以
Dialogue: 0,0:04:14.32,0:04:15.86,Default,,0000,0000,0000,,4是个因数
Dialogue: 0,0:04:15.86,0:04:19.34,Default,,0000,0000,0000,,你们可以在心里算一下
Dialogue: 0,0:04:19.34,0:04:20.10,Default,,0000,0000,0000,,4乘以多少是120
Dialogue: 0,0:04:20.10,0:04:25.22,Default,,0000,0000,0000,,12除以4等于3 所以120除以4是30
Dialogue: 0,0:04:25.22,0:04:30.00,Default,,0000,0000,0000,,所以又有两个因数 4和30
Dialogue: 0,0:04:30.00,0:04:31.46,Default,,0000,0000,0000,,如果你们想确定这样做是否正确
Dialogue: 0,0:04:31.46,0:04:34.31,Default,,0000,0000,0000,,可以用长除法来验证
Dialogue: 0,0:04:34.31,0:04:35.23,Default,,0000,0000,0000,,我们继续
Dialogue: 0,0:04:35.23,0:04:40.78,Default,,0000,0000,0000,,接下来看120等于-- 5是其因数吗？
Dialogue: 0,0:04:40.78,0:04:44.21,Default,,0000,0000,0000,,5乘以某个整数等于120吗？
Dialogue: 0,0:04:44.21,0:04:46.83,Default,,0000,0000,0000,,不能简单地-- 首先
Dialogue: 0,0:04:46.83,0:04:48.46,Default,,0000,0000,0000,,你们可以检验它是否被整除
Dialogue: 0,0:04:48.46,0:04:50.72,Default,,0000,0000,0000,,120以0结尾
Dialogue: 0,0:04:50.72,0:04:53.40,Default,,0000,0000,0000,,如果某数以0或5结尾 那么就可以被5整除
Dialogue: 0,0:04:53.40,0:04:55.21,Default,,0000,0000,0000,,所以5是个因数
Dialogue: 0,0:04:55.21,0:04:56.79,Default,,0000,0000,0000,,我们算一下倍数是多少
Dialogue: 0,0:04:56.79,0:04:59.93,Default,,0000,0000,0000,,120除以5
Dialogue: 0,0:04:59.93,0:05:00.93,Default,,0000,0000,0000,,1不能除以5
Dialogue: 0,0:05:00.93,0:05:02.78,Default,,0000,0000,0000,,12除以5 商2
Dialogue: 0,0:05:02.78,0:05:04.34,Default,,0000,0000,0000,,2乘以5是10
Dialogue: 0,0:05:04.34,0:05:05.98,Default,,0000,0000,0000,,相减
Dialogue: 0,0:05:05.98,0:05:06.79,Default,,0000,0000,0000,,得到2
Dialogue: 0,0:05:06.79,0:05:08.45,Default,,0000,0000,0000,,把0拿下来
Dialogue: 0,0:05:08.45,0:05:11.46,Default,,0000,0000,0000,,20除以5是4
Dialogue: 0,0:05:11.46,0:05:17.59,Default,,0000,0000,0000,,4乘以5是20 相减
Dialogue: 0,0:05:17.59,0:05:19.00,Default,,0000,0000,0000,,没有余数
Dialogue: 0,0:05:19.00,0:05:21.25,Default,,0000,0000,0000,,正如我们所期待的 结果应该是整数
Dialogue: 0,0:05:21.25,0:05:23.43,Default,,0000,0000,0000,,因为这个数以0或者5结尾
Dialogue: 0,0:05:23.43,0:05:26.14,Default,,0000,0000,0000,,我把这些擦去
Dialogue: 0,0:05:26.14,0:05:29.43,Default,,0000,0000,0000,,以便接下来有打草稿的空间
Dialogue: 0,0:05:29.43,0:05:33.25,Default,,0000,0000,0000,,5乘以24是120
Dialogue: 0,0:05:33.25,0:05:37.61,Default,,0000,0000,0000,,我们又得到了两个因数 5和24
Dialogue: 0,0:05:37.61,0:05:40.00,Default,,0000,0000,0000,,我再清理出一些空间
Dialogue: 0,0:05:40.00,0:05:42.20,Default,,0000,0000,0000,,因为会得到很多因数
Dialogue: 0,0:05:42.20,0:05:44.41,Default,,0000,0000,0000,,把这个移一下
Dialogue: 0,0:05:44.41,0:05:49.03,Default,,0000,0000,0000,,剪切 然后粘贴
Dialogue: 0,0:05:49.03,0:05:50.70,Default,,0000,0000,0000,,把它移到这
Dialogue: 0,0:05:50.70,0:05:53.00,Default,,0000,0000,0000,,这样就有更多的地方来列出因数了
Dialogue: 0,0:05:53.00,0:05:55.20,Default,,0000,0000,0000,,5和24是120的因数
Dialogue: 0,0:05:55.20,0:05:57.66,Default,,0000,0000,0000,,接着看6
Dialogue: 0,0:05:57.66,0:06:02.15,Default,,0000,0000,0000,,120等于6乘以什么？
Dialogue: 0,0:06:02.15,0:06:07.12,Default,,0000,0000,0000,,要被6整除 必须被2和3整除
Dialogue: 0,0:06:07.12,0:06:09.72,Default,,0000,0000,0000,,现在已经知道120可以被2和3整除了
Dialogue: 0,0:06:09.72,0:06:11.90,Default,,0000,0000,0000,,所以6一定也可以整除120
Dialogue: 0,0:06:11.90,0:06:13.66,Default,,0000,0000,0000,,你们应该可以在心里
Dialogue: 0,0:06:13.66,0:06:14.13,Default,,0000,0000,0000,,做出来
Dialogue: 0,0:06:14.13,0:06:16.03,Default,,0000,0000,0000,,对于5 心算的话有点难
Dialogue: 0,0:06:16.03,0:06:20.61,Default,,0000,0000,0000,,但120-- 12除以6是2
Dialogue: 0,0:06:20.61,0:06:22.83,Default,,0000,0000,0000,,把0加上
Dialogue: 0,0:06:22.83,0:06:26.25,Default,,0000,0000,0000,,120除以6是20
Dialogue: 0,0:06:26.25,0:06:28.27,Default,,0000,0000,0000,,你们也可以用长除法做
Dialogue: 0,0:06:28.27,0:06:33.54,Default,,0000,0000,0000,,6和20也是两个因数
Dialogue: 0,0:06:33.54,0:06:35.43,Default,,0000,0000,0000,,再讨论一下7
Dialogue: 0,0:06:35.43,0:06:37.29,Default,,0000,0000,0000,,想一下
Dialogue: 0,0:06:37.29,0:06:40.26,Default,,0000,0000,0000,,7是个很奇怪的数 为了判断它的整除性
Dialogue: 0,0:06:40.26,0:06:41.92,Default,,0000,0000,0000,,你们可以想点其它方法
Dialogue: 0,0:06:41.92,0:06:45.10,Default,,0000,0000,0000,,试着用120除以7
Dialogue: 0,0:06:45.10,0:06:46.36,Default,,0000,0000,0000,,1除以7商0
Dialogue: 0,0:06:46.36,0:06:48.05,Default,,0000,0000,0000,,12除以7商1
Dialogue: 0,0:06:48.05,0:06:49.76,Default,,0000,0000,0000,,1×7=7
Dialogue: 0,0:06:49.76,0:06:51.03,Default,,0000,0000,0000,,相减
Dialogue: 0,0:06:51.03,0:06:52.55,Default,,0000,0000,0000,,12-7=5
Dialogue: 0,0:06:52.55,0:06:54.35,Default,,0000,0000,0000,,把0拿下来
Dialogue: 0,0:06:54.35,0:06:59.70,Default,,0000,0000,0000,,7乘以7是49 所以写7
Dialogue: 0,0:06:59.70,0:07:01.63,Default,,0000,0000,0000,,7×7=49
Dialogue: 0,0:07:01.63,0:07:02.38,Default,,0000,0000,0000,,相减
Dialogue: 0,0:07:02.38,0:07:06.16,Default,,0000,0000,0000,,有余数 所以不能整除
Dialogue: 0,0:07:06.16,0:07:09.99,Default,,0000,0000,0000,,7不行
Dialogue: 0,0:07:09.99,0:07:12.10,Default,,0000,0000,0000,,再看8
Dialogue: 0,0:07:12.10,0:07:14.99,Default,,0000,0000,0000,,看看8行不行
Dialogue: 0,0:07:14.99,0:07:17.12,Default,,0000,0000,0000,,想一下
Dialogue: 0,0:07:17.12,0:07:18.93,Default,,0000,0000,0000,,我会用相同的过程来做
Dialogue: 0,0:07:18.93,0:07:22.78,Default,,0000,0000,0000,,用120除以8
Dialogue: 0,0:07:22.78,0:07:27.73,Default,,0000,0000,0000,,我们来做一下
Dialogue: 0,0:07:27.73,0:07:29.61,Default,,0000,0000,0000,,仅仅作为一点提示--
Dialogue: 0,0:07:29.61,0:07:30.29,Default,,0000,0000,0000,,我还是做一下吧
Dialogue: 0,0:07:30.29,0:07:33.18,Default,,0000,0000,0000,,12除以8-- 1除以8取0
Dialogue: 0,0:07:33.18,0:07:35.44,Default,,0000,0000,0000,,12除以8 写1
Dialogue: 0,0:07:35.44,0:07:37.91,Default,,0000,0000,0000,,1乘以8是8
Dialogue: 0,0:07:37.91,0:07:39.31,Default,,0000,0000,0000,,相减
Dialogue: 0,0:07:39.31,0:07:40.76,Default,,0000,0000,0000,,12-8=4
Dialogue: 0,0:07:40.76,0:07:42.79,Default,,0000,0000,0000,,把0拿下来
Dialogue: 0,0:07:42.79,0:07:45.34,Default,,0000,0000,0000,,40除以8是5
Dialogue: 0,0:07:45.34,0:07:49.08,Default,,0000,0000,0000,,5乘以8是40 没有余数
Dialogue: 0,0:07:49.08,0:07:49.91,Default,,0000,0000,0000,,能整除
Dialogue: 0,0:07:49.91,0:07:51.91,Default,,0000,0000,0000,,所以120-- 我把那删去
Dialogue: 0,0:07:51.91,0:08:01.18,Default,,0000,0000,0000,,120=8×15
Dialogue: 0,0:08:01.18,0:08:03.04,Default,,0000,0000,0000,,把它们加到因数表中
Dialogue: 0,0:08:03.04,0:08:08.69,Default,,0000,0000,0000,,现在8和15也有了
Dialogue: 0,0:08:08.69,0:08:11.85,Default,,0000,0000,0000,,接下来是9
Dialogue: 0,0:08:11.85,0:08:13.52,Default,,0000,0000,0000,,120被9整除吗？
Dialogue: 0,0:08:13.52,0:08:16.36,Default,,0000,0000,0000,,为了判断 可以把各位相加
Dialogue: 0,0:08:16.36,0:08:19.82,Default,,0000,0000,0000,,1+2+0=3
Dialogue: 0,0:08:19.82,0:08:23.71,Default,,0000,0000,0000,,这满足3的整除规律
Dialogue: 0,0:08:23.71,0:08:25.70,Default,,0000,0000,0000,,但3不被9整除
Dialogue: 0,0:08:25.70,0:08:28.71,Default,,0000,0000,0000,,所以120也不被9整除
Dialogue: 0,0:08:28.71,0:08:30.99,Default,,0000,0000,0000,,9不行
Dialogue: 0,0:08:30.99,0:08:32.90,Default,,0000,0000,0000,,9不符合
Dialogue: 0,0:08:32.90,0:08:34.16,Default,,0000,0000,0000,,下面到10了
Dialogue: 0,0:08:34.16,0:08:36.42,Default,,0000,0000,0000,,这很简单
Dialogue: 0,0:08:36.42,0:08:39.10,Default,,0000,0000,0000,,120以0结尾 所以可以被10整除
Dialogue: 0,0:08:39.10,0:08:41.12,Default,,0000,0000,0000,,把它写下来
Dialogue: 0,0:08:41.12,0:08:46.09,Default,,0000,0000,0000,,120等于10乘以--
Dialogue: 0,0:08:46.09,0:08:48.79,Default,,0000,0000,0000,,这也很简单-- 10×12
Dialogue: 0,0:08:48.79,0:08:51.60,Default,,0000,0000,0000,,这就是120
Dialogue: 0,0:08:51.60,0:08:53.91,Default,,0000,0000,0000,,10×12 我把两个因数写下来
Dialogue: 0,0:08:53.91,0:08:56.14,Default,,0000,0000,0000,,10和12
Dialogue: 0,0:08:56.14,0:08:58.26,Default,,0000,0000,0000,,接下来还剩一个数
Dialogue: 0,0:08:58.26,0:08:58.68,Default,,0000,0000,0000,,就是11
Dialogue: 0,0:08:58.68,0:08:59.98,Default,,0000,0000,0000,,我们不需要考虑大于11的数
Dialogue: 0,0:08:59.98,0:09:01.13,Default,,0000,0000,0000,,因为12已经有了
Dialogue: 0,0:09:01.13,0:09:03.01,Default,,0000,0000,0000,,没有比它更大的因数需要考虑了
Dialogue: 0,0:09:03.01,0:09:06.71,Default,,0000,0000,0000,,因为我们是按降序来做的
Dialogue: 0,0:09:06.71,0:09:08.68,Default,,0000,0000,0000,,没有漏掉的了
Dialogue: 0,0:09:08.68,0:09:09.57,Default,,0000,0000,0000,,可以再试一下11
Dialogue: 0,0:09:09.57,0:09:11.70,Default,,0000,0000,0000,,如果你们喜欢 可以动手算一下
Dialogue: 0,0:09:11.70,0:09:14.81,Default,,0000,0000,0000,,120除以11-- 现在你们知道--
Dialogue: 0,0:09:14.81,0:09:17.05,Default,,0000,0000,0000,,如果你们知道包含11的乘法表
Dialogue: 0,0:09:17.05,0:09:18.75,Default,,0000,0000,0000,,那你们也会知道这不符合条件 但我会做给你们看
Dialogue: 0,0:09:18.75,0:09:21.26,Default,,0000,0000,0000,,12除以11 取1
Dialogue: 0,0:09:21.26,0:09:22.78,Default,,0000,0000,0000,,1乘以11是11
Dialogue: 0,0:09:22.78,0:09:24.03,Default,,0000,0000,0000,,相减
Dialogue: 0,0:09:24.03,0:09:26.47,Default,,0000,0000,0000,,1 拿下来0
Dialogue: 0,0:09:26.47,0:09:29.06,Default,,0000,0000,0000,,10除以11 取0
Dialogue: 0,0:09:29.06,0:09:30.71,Default,,0000,0000,0000,,0乘以11是0
Dialogue: 0,0:09:30.71,0:09:33.28,Default,,0000,0000,0000,,还剩余数10
Dialogue: 0,0:09:33.28,0:09:36.14,Default,,0000,0000,0000,,所以120除以11商是10余10
Dialogue: 0,0:09:36.14,0:09:37.97,Default,,0000,0000,0000,,不能整除
Dialogue: 0,0:09:37.97,0:09:44.26,Default,,0000,0000,0000,,所以全部因数都在这：1 2 3 4 5 6 8 10
Dialogue: 0,0:09:44.26,0:09:51.40,Default,,0000,0000,0000,,12 15 20 24 30 40 60 120
Dialogue: 0,0:09:51.40,0:09:52.15,Default,,0000,0000,0000,,这道题做完了