เทคนิค

สูตรพื้นฐานที่ควรรู้ทั้งหมด

ธรรมธร น้อยสง่า (แบงค์)

ผู้ก่อตั้ง Otaku_Kidlek

2 พฤษภาคม 2567

อ่าน ~2 นาที

สูตรคูณพื้นฐาน

แม่ 2

2 \times 1 = 22 \times 2 = 42 \times 3 = 62 \times 4 = 82 \times 5 = 102 \times 6 = 122 \times 7 = 142 \times 8 = 162 \times 9 = 182 \times 10 = 202 \times 11 = 222 \times 12 = 24

แม่ 3

3 \times 1 = 33 \times 2 = 63 \times 3 = 93 \times 4 = 123 \times 5 = 153 \times 6 = 183 \times 7 = 213 \times 8 = 243 \times 9 = 273 \times 10 = 303 \times 11 = 333 \times 12 = 36

แม่ 4

4 \times 1 = 44 \times 2 = 84 \times 3 = 124 \times 4 = 164 \times 5 = 204 \times 6 = 244 \times 7 = 284 \times 8 = 324 \times 9 = 364 \times 10 = 404 \times 11 = 444 \times 12 = 48

แม่ 5

5 \times 1 = 55 \times 2 = 105 \times 3 = 155 \times 4 = 205 \times 5 = 255 \times 6 = 305 \times 7 = 355 \times 8 = 405 \times 9 = 455 \times 10 = 505 \times 11 = 555 \times 12 = 60

แม่ 6

6 \times 1 = 66 \times 2 = 126 \times 3 = 186 \times 4 = 246 \times 5 = 306 \times 6 = 366 \times 7 = 426 \times 8 = 486 \times 9 = 546 \times 10 = 606 \times 11 = 666 \times 12 = 72

แม่ 7

7 \times 1 = 77 \times 2 = 147 \times 3 = 217 \times 4 = 287 \times 5 = 357 \times 6 = 427 \times 7 = 497 \times 8 = 567 \times 9 = 637 \times 10 = 707 \times 11 = 777 \times 12 = 84

แม่ 8

8 \times 1 = 88 \times 2 = 168 \times 3 = 248 \times 4 = 328 \times 5 = 408 \times 6 = 488 \times 7 = 568 \times 8 = 648 \times 9 = 728 \times 10 = 808 \times 11 = 888 \times 12 = 96

แม่ 9

9 \times 1 = 99 \times 2 = 189 \times 3 = 279 \times 4 = 369 \times 5 = 459 \times 6 = 549 \times 7 = 639 \times 8 = 729 \times 9 = 819 \times 10 = 909 \times 11 = 999 \times 12 = 108

แม่ 10

10 \times 1 = 1010 \times 2 = 2010 \times 3 = 3010 \times 4 = 4010 \times 5 = 5010 \times 6 = 6010 \times 7 = 7010 \times 8 = 8010 \times 9 = 9010 \times 10 = 10010 \times 11 = 11010 \times 12 = 120

แม่ 11

11 \times 1 = 1111 \times 2 = 2211 \times 3 = 3311 \times 4 = 4411 \times 5 = 5511 \times 6 = 6611 \times 7 = 7711 \times 8 = 8811 \times 9 = 9911 \times 10 = 11011 \times 11 = 12111 \times 12 = 132

แม่ 12

12 \times 1 = 1212 \times 2 = 2412 \times 3 = 3612 \times 4 = 4812 \times 5 = 6012 \times 6 = 7212 \times 7 = 8412 \times 8 = 9612 \times 9 = 10812 \times 10 = 12012 \times 11 = 13212 \times 12 = 144

แม่ 13

13 \times 1 = 1313 \times 2 = 2613 \times 3 = 3913 \times 4 = 5213 \times 5 = 6513 \times 6 = 7813 \times 7 = 9113 \times 8 = 10413 \times 9 = 11713 \times 10 = 13013 \times 11 = 14313 \times 12 = 156

แม่ 14

14 \times 1 = 1414 \times 2 = 2814 \times 3 = 4214 \times 4 = 5614 \times 5 = 7014 \times 6 = 8414 \times 7 = 9814 \times 8 = 11214 \times 9 = 12614 \times 10 = 14014 \times 11 = 15414 \times 12 = 168

แม่ 15

15 \times 1 = 1515 \times 2 = 3015 \times 3 = 4515 \times 4 = 6015 \times 5 = 7515 \times 6 = 9015 \times 7 = 10515 \times 8 = 12015 \times 9 = 13515 \times 10 = 15015 \times 11 = 16515 \times 12 = 180

แม่ 16

16 \times 1 = 1616 \times 2 = 3216 \times 3 = 4816 \times 4 = 6416 \times 5 = 8016 \times 6 = 9616 \times 7 = 11216 \times 8 = 12816 \times 9 = 14416 \times 10 = 16016 \times 11 = 17616 \times 12 = 192

แม่ 17

17 \times 1 = 1717 \times 2 = 3417 \times 3 = 5117 \times 4 = 6817 \times 5 = 8517 \times 6 = 10217 \times 7 = 11917 \times 8 = 13617 \times 9 = 15317 \times 10 = 17017 \times 11 = 18717 \times 12 = 204

แม่ 18

18 \times 1 = 1818 \times 2 = 3618 \times 3 = 5418 \times 4 = 7218 \times 5 = 9018 \times 6 = 10818 \times 7 = 12618 \times 8 = 14418 \times 9 = 16218 \times 10 = 18018 \times 11 = 19818 \times 12 = 216

แม่ 19

19 \times 1 = 1919 \times 2 = 3819 \times 3 = 5719 \times 4 = 7619 \times 5 = 9519 \times 6 = 11419 \times 7 = 13319 \times 8 = 16219 \times 9 = 17119 \times 10 = 19019 \times 11 = 20919 \times 12 = 228

แม่ 20

20 \times 1 = 2020 \times 2 = 4020 \times 3 = 6020 \times 4 = 8020 \times 5 = 10020 \times 6 = 12020 \times 7 = 14020 \times 8 = 16020 \times 9 = 18020 \times 10 = 20020 \times 11 = 22020 \times 12 = 240

แม่ 21

21 \times 1 = 2121 \times 2 = 4221 \times 3 = 6321 \times 4 = 8421 \times 5 = 10521 \times 6 = 12621 \times 7 = 14721 \times 8 = 16821 \times 9 = 18921 \times 10 = 21021 \times 11 = 23121 \times 12 = 252

แม่ 22

22 \times 1 = 2222 \times 2 = 4422 \times 3 = 6622 \times 4 = 8822 \times 5 = 11022 \times 6 = 13222 \times 7 = 15422 \times 8 = 17622 \times 9 = 19822 \times 10 = 22022 \times 11 = 24222 \times 12 = 264

แม่ 23

23 \times 1 = 2323 \times 2 = 4623 \times 3 = 6923 \times 4 = 9223 \times 5 = 11523 \times 6 = 13823 \times 7 = 16123 \times 8 = 18423 \times 9 = 20723 \times 10 = 23023 \times 11 = 25323 \times 12 = 276

แม่ 24

24 \times 1 = 2424 \times 2 = 4824 \times 3 = 7224 \times 4 = 9624 \times 5 = 12024 \times 6 = 14424 \times 7 = 16824 \times 8 = 19224 \times 9 = 21624 \times 10 = 24024 \times 11 = 26424 \times 12 = 288

แม่ 25

25 \times 1 = 2525 \times 2 = 5025 \times 3 = 7525 \times 4 = 10025 \times 5 = 12525 \times 6 = 15025 \times 7 = 17525 \times 8 = 20025 \times 9 = 22525 \times 10 = 25025 \times 11 = 27525 \times 12 = 300

เลขยกกำลังพื้นฐาน

เลขยกกำลัง 2

n^2	n^2
2^2=4	18^2=324
3^2=9	19^2=361
4^2=16	20^2=400
5^2=25	21^2=441
6^2=36	22^2=484
7^2=49	23^2=529
8^2=64	24^2=576
9^2=81	25^2=625
10^2=100	26^2=676
11^2=121	27^2=729
12^2=144	28^2=784
13^2=169	29^2=841
14^2=196	30^2=900
15^2=225	31^2=961
16^2=256	32^2=1024
17^2 = 289

เลขยกกำลัง 3, 4 และ 5

n^3	n^4
2^3=8	2^4=16
3^3=27	3^4=81
4^3=64	4^4=256
5^3=125	5^4=625
6^3=216	6^4=1296
7^3=343	n^5
8^3=512	2^5=32
9^3=729	3^5=243
10^3=1000	4^5=1024

เลขยกกำลังที่เหลือ

n^6	n^8
2^6=64	2^8=256
3^6=729	n^9
n^7	2^9=512
2^7=128	n^\left(10\right)
-	2^\left(10\right)=1024

แฟกทอเรียล

แฟกทอเรียลพื้นฐานที่ควรรู้

0!=13!=64!=245!=1206!=7207!=50408!=40320

สูตรคูณแฟกทอเรียลพื้นฐาน

4! \times 1 = 244! \times 2 = 484! \times 3 = 724! \times 4 = 964! \times 5 = 1204! \times 6 = 1444! \times 7 = 1684! \times 8 = 1924! \times 9 = 2164! \times 10 = 2404! \times 11 = 2644! \times 12 = 2884! \times 13 = 3124! \times 14 = 3364! \times 15 = 3604! \times 16 = 3844! \times 17 = 4084! \times 18 = 4324! \times 19 = 4564! \times 20 = 4804! \times 21 = 5044! \times 22 = 5284! \times 23 = 5524! \times 24 = 5764! \times 25 = 6004! \times 26 = 6244! \times 27 = 6484! \times 28 = 6724! \times 29 = 6964! \times 30 = 7204! \times 31 = 7444! \times 32 = 7684! \times 33 = 7924! \times 34 = 8164! \times 35 = 8404! \times 36 = 8644! \times 37 = 8884! \times 38 = 9124! \times 39 = 9364! \times 40 = 9604! \times 41 = 9844! \times 42 = 10084! \times 43 = 10324! \times 44 = 10564! \times 45 = 10805! \times 1 = 1205! \times 2 = 2405! \times 3 = 3605! \times 4 = 4805! \times 5 = 6005! \times 6 = 7205! \times 7 = 8405! \times 8 = 9605! \times 9 = 1080

สูตรหารแฟกทอเรียลพื้นฐาน

\frac{5!}{2}=60\frac{5!}{3}=40\frac{5!}{4}=30\frac{5!}{5}=24\frac{5!}{6}=20\frac{5!}{8}=15\frac{6!}{2}=360\frac{6!}{3}=240\frac{6!}{4}=180\frac{6!}{5}=144\frac{6!}{6}=120\frac{6!}{8}=90\frac{6!}{9}=80\frac{6!}{15}=48\frac{6!}{16}=45\frac{6!}{18}=40\frac{7!}{5}=1008\frac{7!}{6}=840\frac{7!}{7}=720\frac{7!}{8}=630\frac{7!}{9}=560\frac{7!}{10}=504\frac{7!}{12}=420\frac{7!}{15}=336\frac{7!}{16}=315\frac{7!}{24}=210\frac{7!}{28}=180\frac{7!}{56}=90\frac{7!}{140}=36\frac{8!}{40}=1008\frac{8!}{42}=960\frac{8!}{45}=896\frac{8!}{56}=840\frac{8!}{60}=672\frac{8!}{63}=640\frac{8!}{64}=630\frac{8!}{70}=576\frac{8!}{126}=320\frac{8!}{128}=315\frac{8!}{140}=280

ซิกม่า(ไอ)พื้นฐาน

n	\sum_{i=1}^{n}(i)
2	3
3	6
4	10
5	15
6	21
7	28
8	36
9	45
10	55
11	66
12	78
13	91
14	105
15	120
16	136
17	153
18	171
19	190
20	210
21	231
22	253
23	276
24	300
25	325
26	351
27	378
28	406
29	435
30	465
31	496
32	528
33	561
34	595
35	630
36	666
37	703
38	741
39	780
40	820
41	861
42	903
43	946
44	990
45	1035

ซิกม่า(ไอ บวก ไอ)พื้นฐาน

n	\sum_{i=1}^{n}(i+i)
2	6
3	12
4	20
5	30
6	42
7	56
8	72
9	90
10	110
11	132
12	156
13	182
14	210
15	240
16	272
17	306
18	342
19	380
20	420
21	462
22	506
23	552
24	600
25	650
26	702
27	756
28	812
29	870
30	930
31	992

ซิกม่า(ไอ คูณ ไอ)พื้นฐาน

n	\sum_{i=1}^{n}(i \times i)
2	5
3	14
4	30
5	55
6	91
7	140
8	204
9	285
10	385
11	506
12	650
13	819
14	1015

ซิกม่า(ไอ แฟก)พื้นฐาน

n	\sum_{i=1}^{n}(i!)
2	3
3	9
4	33
5	153
6	873
7	5913

อยากลองฝึกตามบทความนี้?

เปิดหน้าสุ่มโจทย์ Otaku_Kidlek แล้วลงมือซ้อมได้เลย

ไปหน้าสุ่มโจทย์อ่านบทความอื่น

n	\sum_{i=1}^{n}(i+i)
2	6
3	12
4	20
5	30
6	42
7	56
8	72
9	90
10	110
11	132
12	156
13	182
14	210
15	240
16	272
17	306
18	342
19	380
20	420
21	462
22	506
23	552
24	600
25	650
26	702
27	756
28	812
29	870
30	930
31	992

n	\sum_{i=1}^{n}(i+i)
2	6
3	12
4	20
5	30
6	42
7	56
8	72
9	90
10	110
11	132
12	156
13	182
14	210
15	240
16	272
17	306
18	342
19	380
20	420
21	462
22	506
23	552
24	600
25	650
26	702
27	756
28	812
29	870
30	930
31	992

n	\sum_{i=1}^{n}(i+i)
2	6
3	12
4	20
5	30
6	42
7	56
8	72
9	90
10	110
11	132
12	156
13	182
14	210
15	240
16	272
17	306
18	342
19	380
20	420
21	462
22	506
23	552
24	600
25	650
26	702
27	756
28	812
29	870
30	930
31	992