6 5 59
4
1 11 2 17 3 16 4
15 5 59 6
6 1
11
1 1 2 1 3 1 4 1 5 1 6 1 7 1 8 1 9 1 10 1 11 ... ... 1 1
11 6
1 1 1. 1.4 .6/1 - 2
2. 1. /1. 2. /1. 2. 3. 3. 1. 1. 45 9= (2. 60 7= (3. 64 8 = (4.
56 6 = (5. 89 10= (6. 84 12 = ( 0 2. 0 3. 3 4 4. 5. 6. 3 12 3 12 2
3 7. 2 6 48 (6 48 48 ( 6 = 8)7 49(7 49 49 ( 7 = 7)8. 6 1 6 6
6 (1, 2, 3 6) 6 () 6 ( 4 1, 2, 3 6) 6 ( 1 6 6 )9. 2 3 10. 11. 1
/12. 4. / 1. 1 5. / 1. 2. 3. 1 4. 5. 6. 6.
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7. / 8.
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45 ( 950 ( 940 ( 9
48 ( 1245 ( 542 ( 7
45 ( 1144 ( 1172 ( 8
() : 1.
: 36
1 : 1. 14
2. 16
3. 20
4. 26
5.33
6.36
7.65
8.72
9.80
10. 99
2 1 1.
1.4 .6/1 - 2
2. 1.
2. /1. 2. /1. 2. 3. 3. 1.
2. 7, 15, 22, 30 7 2 1, 711 2 1, 1122 4 1, 2, 11, 2230 8 1, 2,
3,5,6,10,15,303. 2 4. 2 1 5. 4 5 19 ( 1 19 )
51 ( 1, 3, 17 ,51 ) 6. 7. 18
- 18 ( 1 , 2 , 3 , 6 , 9 , 18 )
- 18 ( 2 , 3 ) 8. 9. 2 /10. 4. / 1. 2 2. 5. / 1. 2. 3. 4. 6.
4. 5. 5 ...4. 5.
7. / 8.
()
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(...................................................)
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29 1 6 2 4 3 3 4 , 5 , 9 2 6 , 7 , 8 , 10 , 14 , 15 , 16 , 18 ,
20 , 27 1 1. 1 ( 2 )
2. 14 , 15 , 16 , 18 , 20 27
3.
4.
: 1 100
123456789101112131415161718192021222324252627282930313233343536
373839404142434445464748
495051525354555657585960
616263646566676869707172737475767778798081828384858687888990919293949596979899100
1 100 ..
2 1 (
115
217
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564
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3 1 1.
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2. 1. /1. 2. /1. 2. 3. 3. 1. 20 20 1, 2, 4, 5, 10, 20 20
2. 20
3. 2 3 4. 18 = 2 ( 9
( 9 9 9 = 3(3) 18 18 = 2 ( 3 ( 3
5. 18 18 = 3 ( 6 6 6 = 2 ( 3
18 18 = 2 ( 3 ( 3
6. 2 3 7. 8. 1) 9 = 3 ( 3
2) 20 = 4 ( 5
3) 25 = 5 ( 5
4) 36 = 4 ( 3 ( 5
5) 45 = 5 ( 3 ( 3
9. 17, 29, 43, 59 () () ( 1 1 ) () ()10. 11. 3 /12. 4. / 1. 3 5.
/ 1. 3 2. 3. 4. 6.
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7. / 8.
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3 : 1. 32
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4 1 1.
1.4 .6/1 - 22. 1. /1. 2. /1. 2. 3. 3. 1. 2 3 24 24 1 1 24
2.
2 2 2 = 2
3 3 2 2 = 3 2 3. 24 1) 24 2 24 12
2) 12 2 12 6
3) 6 2 6 3
4. 2 3 5. 4 /6. 1) 2) 3) 4. / 1. 4 5. / 1. 4 2. 3. 4. 6.
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7. / 8.
()
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()
9.
()
(...................................................)
()
4 : 11.
2. 45
3. 50
4. 60
5. 72
6. 90
7. 100
8. 180
9. 315
10. 240
11. 600 2 1) 257=
2) 253=
3) 2332=
4) 2352=
5) 2435=
6) 22311=
7) 253=
8) 22353=
5 1 1. 1.4 .6/1 - 2
2. 1. ... /1. 2. /1. 2. 3. 3. 1. 2. 2 16 1,2,4,8,16
24 1,2,3,4,6,8,12,2416 24 1,2,4,8 16 24 8 3. ... 4. 3 ... ... 1.
10 , 12, 16
2. 18, 20 , 24
3. 16, 24, 32
5. ... 5 ...4. / 1. 5 ... 5. / 1. 2. 3. 5 ... 6.
1. 2. 5 ...1. 2.
7. / 8.
()
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()
9.
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5 ... : ... 1) 15 20
2) 18 30
3) 18 244) 9, 12 285) 84 60
: ... 1 2 3 4 5 4
6 1 1.
1.4 .6/1 - 2
2. 1. ... /1. 2. /1. 2. 3. 3. 1 ... 3 ...2 ... ... 16 24
16 24
16 = 2 ( 2 ( 2 ( 2
24 = 2 ( 2 ( 2 ( 3 16 24 2 ( 2 ( 2 = 8
... 16 24 8
... 2 ...3 6 1 ... /4 ...
5 6 2
4 / 1. 6 ... 5 / 1. 2. 3. 6
1. 2. 6 ...1. 2.
7 / 8
()
(...................................................)
()
9
()
(...................................................)
()
6 ... 1 .. 1. ... 12 36
24=.
36=.
... 24 36 ..
2. ... 35 , 49 56
35 =.
49=.
56=.
... 35 , 49 56 ..
3. ... 8 , 12 , 18 24
8=
12=
18=
24=
... 8 , 12 , 18 24
4. ... 16, 32 , 48 , 64
16=
32=
48=
64=
... 16 , 32 , 48 64 ..
2 ... 1) 24 28
2) 45 60
3) 30 45 4) 21, 28 49
5) 50 , 70 90
7 1 1.
1.4 .6/1 - 2
2. 1. ... /1. 2. /1. 2. 3. 3. 1. ... 1 2 ... ... 2
... 24, 36
) 24 36 24 36 ( 2 3 )
2. 12 18 8 12 6 9 4 6
3. 2 3 () 24 36 ( 2, 3, 2)4. 24 36 2 ( 2 ( 3 3 ( 2 ( 2 24 36 ()
24 36 2 ( 2 ( 3 3 ( 2 ( 2 () ... 24 36 (2 ( 2 ( 3 = 12 3 ( 2 ( 2 =
12)
5. 6. ... 24 36 ... 24 36 12 7. ... 4 ... 12 36 72 2 1) 2)
8. ... 12 ... 9. 4 ... 10. 7 /11. 4. / 1. 7 2. ...5. / 1. ...2.
3. 6.
1. 2. 7 1. 2.
7. / 8.
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7 ... : ... 1) 18 272) 24 323) 42, 60 120 4) 24, 42 48
5) 24, 36 42
8 1 1.
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2. 2 2, 4, 6, 8, 10, 12, 14, 2, 4, 6, 8, 10, 12, 14, 2 3, 4,
5
2, 4, 6, 8, 10, 12, 14,
2
3, 6, 9, 12, 15, 18, 21,
3
4, 8, 12, 16, 20, 24, 28,
4
5, 10, 15, 20, 25, 30, 35, 5
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6, 12, 18, 2 3
2 3 (...)
... 2 3 64. ... 3 4 2 4 2 ... 3 4 3 4 3 3, 6, 9, 12, 15, 18, 21,
24, 27, 30, 33, 36,
4 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48,
3 4 12, 24, 36,
3 4 12 ... 3 4 12
5. 8 ... /6. ...
4. / 1. 8 ...
5. / 1. 2.
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1. 2. 8 ...1. 2.
7. / 8.
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12 .
9 12 .
9 12
... 9 12
2. ... 8 14 8 .
14 .
8 14 .
8 14
... 8 14
3. ... 12 15
12 .
15 .
12 15 .
12 15
... 12 15
4. ... 6 , 12 18 6 .
12 .
18 .
6 , 12 18
6 , 12 18
... 6 , 12 18
5. ... 5, 12 , 18 5 .
9 .
12 .
5, 9 12
5, 9 12
... 5, 9 12 6. ... 9, 18, 24 9 .
18 .
24 .
9, 18, 24
9, 18, 24
... 9, 18, 24
9 1 1.
1.4 .6/1 - 2
2. 1. ... /1. 2. /1. 2. 3. 3. 1. ... ... 2 3
2. ... ... 12 18 12 18 12 ( 2 ( 2 ( 3
18 ( 2 ( 3 ( 3
... 12 18 2 ( 3 ( 2 ( 3 ( 36
... 2 3 3. 2 3 ... 2 3 ... 2 1 ... 16 24
2 ... 28, 35 424. 9 ... /5. 9 ... 1- 2 ...
4. / 1. 9 ...
5. / 1. 2. 3.
6.
1. 2. 9 ...1. 2.
7. / 8.
()
(...................................................)
()
9.
()
(...................................................)
()
9
... : ...
1. ... 8 122. ... 8 183. ... 6 , 18 364. ... 12 , 35 46
10 1 1.
1.4 .6/1 - 2
2. 1. 2 3 ... /1. 2. /1. 2. 3. 3. 1. ... ... 2. ... ... ... 12
18
12 18 ( 2 3 )
1. 6 9 4 6 2. ... 12 18
( ... )3. ... 4 ... 6 9 12
...
... 3 ( 2 ( 1 ( 9 ( 2 = 108
2, 3 4 2 2 4 3 2 3
1, 3 2 ... 6 , 9 12
4. ... 16, 24 32
5. ... 16, 24 32 ... 16, 24 32 96 3. 10 ... /4. .. 3 4. / 1. 10
... 5. / 1. 2. 3. 6.
1. 2. 10 ... 1. 2.
7. / 8.
()
(...................................................)
()
9.
()
(...................................................)
()
10
... : ... 1. 9 27
2. 16 48
3. 30 45
4. 8, 28 72
5. 12, 35 65
6. 30, 48 72
11 1 1.
1.4 .6/1 - 2
2. 1. ... ... /1. 2. /1. 2. 3. 3. 1. ... 2 1 ... ... ...
2 ... ... ... ...
2. ... ... 1 60 72
... 60 72
60 ( 2 ( 2 ( 3 ( 5
72 ( 2 ( 2 ( 3 ( 3 ( 2
... 60 72 2 ( 2 ( 3 ( 12
9 60 ( 12 ( 5 72 ( 12 ( 6 12 ( 12
5 ( 6 = 30 9 30 2 9 12 20 ... 9, 12, 20 491220
3935
315
180
3. 11 1 3/4. 11 1 3 ... ... 11 2 4 4. / 1. 11 5. / 1. 2. 3.
6.
1. 2. 11 1. 2.
7. / 8.
()
(...................................................)
()
9.
()
(...................................................)
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11
... ...
:
1. 18 24
2. 3 24, 72 54
3. 1 5 2 10 3 15 9.00 . 4. 6 12 24
1 2 3 4 5 6 7 8 9 10 11
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
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1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
1. 4 1 80
3 1 60 79
2 1 50 59
1 1 50
2. 4 2 80
3. 3 2 60 79
4. 2 2 50 59
5. 1 2 50
6. 4 3-4 80
7. 3 3-4 60 79
8. 2 3-4 50 59
9. 1 3-4 50
10. 4 ... 4 5-7 80
11. 3 5-7 60 79
12. 2 5-7 50 59
13. 1 5-7 50
14. 4 ... 4 8-10 80
15. 3 8-10 60 79
16. 2 8-10 50 59
17. 1 8-10 50
18. ... ... 4 11 80
19. 3 11 60 79
20. 2 11 50 59
21. 1 11 50
1. 4
2. 3
3. 2
4. 1
5. 4
6. 3
7. 2
8. 1
1. 4
3
2
1
2. 4
3
2
1
3. 4
4. 3
5. 2
6. 1
1. 4
2. 3
3. 2
4. 1
5. 4
6. 3
7. 2
8. 1
9. 4
10. 3
11. 2
12. 1
1
: 1. 18
2. 35
3. 97
4. 57
5. 42
6. 51
7. 60
8. 76
9. 180
10. ... 54 72
11. ... 8, 28 48
12. ... 7, 8, 9 10
13. ... 18 30
14. ... 8, 12 36
15. ... 3, 4, 5 7
2 1. ... 36, 54 902. ... 4, 6, 10 123. 21 48
1
6 11
1.4 ... ... ... ... ... ...
/
/
/
4 ...
4 ...
/
/
/
.. ...
15
16
12
90
68
18
27
56
54
82
2 ) 24
12
24 = 2 12 12
24 = 2 12
= 2 2 6 6
2 ) 24
2 ) 12
6
24 = 2 12
= 2 2 6
= 2 2 2 3 3 24 = 2 2 2 3
2 ) 24
2 ) 12
2) 6
3
3) 24 36
8 12
2) 24 36
12 18
2) 24 36
2) 12 18
6 9
3) 24 36
2) 8 12
4 6
3) 24 36
2) 8 12
2) 4 6
2 3
2) 24 36
2) 12 18
3) 6 9
2 3
3) 24 36
2) 8 12
2) 4 6
2 3
... 24, 36
3 ( 2 ( 2 = 12
2) 24 36
2) 12 18
3) 6 9
2 3
... 24, 36
2 ( 2 ( 3 = 12
12) 12 36 72
1 3 6
... 12, 36, 72 12
4) 12 36 72
3) 3 9 18
1 3 6
... 12, 36, 72
4 ( 3 = 12
2) 12 36 72
2) 6 18 36
3) 3 9 18
1 3 6
... 12, 36, 72 2 ( 2 ( 3 = 12
3) 12 18
4 6
2) 12 18
6 9
3) 12 18
2) 4 6
2 3
2) 12 18
3) 6 9
2 3
2) 12 18
3) 6 9
2 3
... 12 18
2 ( 3 ( 2 ( 3 = 36
3) 12 18
2) 4 6
2 3
... 12 18
3 ( 2 ( 2 ( 3 = 36
3) 6 9 12
2 3 4
3) 6 9 12
2) 2 9 4
1 9 2
3) 6 9 12
2) 2 3 4
1 3 2
3) 6 9 12
2) 2 3 4
1 3 2
... 6, 9 12
3 ( 2 ( 1 ( 3 ( 2 = 36
4) 16 24 32
2) 4 6 8
2) 2 3 4
1 3 2
... 16, 24 32
4 ( 2 ( 2 ( 1 ( 3 ( 2 = 96
8) 16 24 32
2) 2 3 4
1 3 2
... 16, 24 32
8 ( 2 ( 1 ( 3 ( 2 = 96
_1324628069.unknown
_1324628070.unknown
_1324628068.unknown
