### + / -檢視主題

#ed_op#DIV#ed_cl#120=2^3*3*5#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#&nbsp;#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#又(n,120)=8，#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#故n=2^3*7^a*11^b*13^c*17^d*19^e*23^f*29^g#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#&nbsp;#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#符合n不大於240之解共八解#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*7,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*11,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*13,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*17,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*19,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*23,#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#8*29#ed_op#/DIV#ed_cl#
#ed_op#DIV#ed_cl#240/8=30#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#30/3+30/5-30/15=16#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#n=1,2,4,7,8,11,13,14,16,17,19,22,23,26,28,29#ed_op#/DIV#ed_cl#

### [問題]n的數目

#ed_op#DIV#ed_cl##ed_op#FONT size=3#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 24pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#設#ed_op#/SPAN#ed_cl##ed_op#I style="mso-bidi-font-style: normal"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#n#ed_op#/SPAN#ed_cl##ed_op#/I#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#為不大於#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#240#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#的自然數#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#若#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#(#ed_op#I style="mso-bidi-font-style: normal"#ed_cl#n#ed_op#/I#ed_cl#,120)=8 ,#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#則此種#ed_op#/SPAN#ed_cl##ed_op#I style="mso-bidi-font-style: normal"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#n#ed_op#/SPAN#ed_cl##ed_op#/I#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#共有#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#_____#ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 18pt; FONT-FAMILY: 細明體; mso-bidi-font-size: 12.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: 'Times New Roman'; mso-hansi-font-family: 'Times New Roman'; mso-bidi-font-family: 'Times New Roman'"#ed_cl#個#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 18pt; FONT-FAMILY: 'Times New Roman'; mso-bidi-font-size: 12.0pt; mso-fareast-font-family: 細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl#.#ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/DIV#ed_cl#