Basic Formula

All $$a\times b$$ $$a^n$$ $$!$$ $$\sum_{i=1}^{n}(i)$$ $$\sum_{i=1}^{n}(i+i)$$ $$\sum_{i=1}^{n}(i\times i)$$ $$\sum_{i=1}^{n}(i!)$$

สูตรคูณพื้นฐาน


แม่ 2

$$2 \times 1 = 2$$ $$2 \times 2 = 4$$ $$2 \times 3 = 6$$ $$2 \times 4 = 8$$ $$2 \times 5 = 10$$ $$2 \times 6 = 12$$ $$2 \times 7 = 14$$ $$2 \times 8 = 16$$ $$2 \times 9 = 18$$ $$2 \times 10 = 20$$ $$2 \times 11 = 22$$ $$2 \times 12 = 24$$

แม่ 3

$$3 \times 1 = 3$$ $$3 \times 2 = 6$$ $$3 \times 3 = 9$$ $$3 \times 4 = 12$$ $$3 \times 5 = 15$$ $$3 \times 6 = 18$$ $$3 \times 7 = 21$$ $$3 \times 8 = 24$$ $$3 \times 9 = 27$$ $$3 \times 10 = 30$$ $$3 \times 11 = 33$$ $$3 \times 12 = 36$$

แม่ 4

$$4 \times 1 = 4$$ $$4 \times 2 = 8$$ $$4 \times 3 = 12$$ $$4 \times 4 = 16$$ $$4 \times 5 = 20$$ $$4 \times 6 = 24$$ $$4 \times 7 = 28$$ $$4 \times 8 = 32$$ $$4 \times 9 = 36$$ $$4 \times 10 = 40$$ $$4 \times 11 = 44$$ $$4 \times 12 = 48$$

แม่ 5

$$5 \times 1 = 5$$ $$5 \times 2 = 10$$ $$5 \times 3 = 15$$ $$5 \times 4 = 20$$ $$5 \times 5 = 25$$ $$5 \times 6 = 30$$ $$5 \times 7 = 35$$ $$5 \times 8 = 40$$ $$5 \times 9 = 45$$ $$5 \times 10 = 50$$ $$5 \times 11 = 55$$ $$5 \times 12 = 60$$

แม่ 6

$$6 \times 1 = 6$$ $$6 \times 2 = 12$$ $$6 \times 3 = 18$$ $$6 \times 4 = 24$$ $$6 \times 5 = 30$$ $$6 \times 6 = 36$$ $$6 \times 7 = 42$$ $$6 \times 8 = 48$$ $$6 \times 9 = 54$$ $$6 \times 10 = 60$$ $$6 \times 11 = 66$$ $$6 \times 12 = 72$$

แม่ 7

$$7 \times 1 = 7$$ $$7 \times 2 = 14$$ $$7 \times 3 = 21$$ $$7 \times 4 = 28$$ $$7 \times 5 = 35$$ $$7 \times 6 = 42$$ $$7 \times 7 = 49$$ $$7 \times 8 = 56$$ $$7 \times 9 = 63$$ $$7 \times 10 = 70$$ $$7 \times 11 = 77$$ $$7 \times 12 = 84$$

แม่ 8

$$8 \times 1 = 8$$ $$8 \times 2 = 16$$ $$8 \times 3 = 24$$ $$8 \times 4 = 32$$ $$8 \times 5 = 40$$ $$8 \times 6 = 48$$ $$8 \times 7 = 56$$ $$8 \times 8 = 64$$ $$8 \times 9 = 72$$ $$8 \times 10 = 80$$ $$8 \times 11 = 88$$ $$8 \times 12 = 96$$

แม่ 9

$$9 \times 1 = 9$$ $$9 \times 2 = 18$$ $$9 \times 3 = 27$$ $$9 \times 4 = 36$$ $$9 \times 5 = 45$$ $$9 \times 6 = 54$$ $$9 \times 7 = 63$$ $$9 \times 8 = 72$$ $$9 \times 9 = 81$$ $$9 \times 10 = 90$$ $$9 \times 11 = 99$$ $$9 \times 12 = 108$$

แม่ 10

$$10 \times 1 = 10$$ $$10 \times 2 = 20$$ $$10 \times 3 = 30$$ $$10 \times 4 = 40$$ $$10 \times 5 = 50$$ $$10 \times 6 = 60$$ $$10 \times 7 = 70$$ $$10 \times 8 = 80$$ $$10 \times 9 = 90$$ $$10 \times 10 = 100$$ $$10 \times 11 = 110$$ $$10 \times 12 = 120$$

แม่ 11

$$11 \times 1 = 11$$ $$11 \times 2 = 22$$ $$11 \times 3 = 33$$ $$11 \times 4 = 44$$ $$11 \times 5 = 55$$ $$11 \times 6 = 66$$ $$11 \times 7 = 77$$ $$11 \times 8 = 88$$ $$11 \times 9 = 99$$ $$11 \times 10 = 110$$ $$11 \times 11 = 121$$ $$11 \times 12 = 132$$

แม่ 12

$$12 \times 1 = 12$$ $$12 \times 2 = 24$$ $$12 \times 3 = 36$$ $$12 \times 4 = 48$$ $$12 \times 5 = 60$$ $$12 \times 6 = 72$$ $$12 \times 7 = 84$$ $$12 \times 8 = 96$$ $$12 \times 9 = 108$$ $$12 \times 10 = 120$$ $$12 \times 11 = 132$$ $$12 \times 12 = 144$$

แม่ 13

$$13 \times 1 = 13$$ $$13 \times 2 = 26$$ $$13 \times 3 = 39$$ $$13 \times 4 = 52$$ $$13 \times 5 = 65$$ $$13 \times 6 = 78$$ $$13 \times 7 = 91$$ $$13 \times 8 = 104$$ $$13 \times 9 = 117$$ $$13 \times 10 = 130$$ $$13 \times 11 = 143$$ $$13 \times 12 = 156$$

แม่ 14

$$14 \times 1 = 14$$ $$14 \times 2 = 28$$ $$14 \times 3 = 42$$ $$14 \times 4 = 56$$ $$14 \times 5 = 70$$ $$14 \times 6 = 84$$ $$14 \times 7 = 98$$ $$14 \times 8 = 112$$ $$14 \times 9 = 126$$ $$14 \times 10 = 140$$ $$14 \times 11 = 154$$ $$14 \times 12 = 168$$

แม่ 15

$$15 \times 1 = 15$$ $$15 \times 2 = 30$$ $$15 \times 3 = 45$$ $$15 \times 4 = 60$$ $$15 \times 5 = 75$$ $$15 \times 6 = 90$$ $$15 \times 7 = 105$$ $$15 \times 8 = 120$$ $$15 \times 9 = 135$$ $$15 \times 10 = 150$$ $$15 \times 11 = 165$$ $$15 \times 12 = 180$$

แม่ 16

$$16 \times 1 = 16$$ $$16 \times 2 = 32$$ $$16 \times 3 = 48$$ $$16 \times 4 = 64$$ $$16 \times 5 = 80$$ $$16 \times 6 = 96$$ $$16 \times 7 = 112$$ $$16 \times 8 = 128$$ $$16 \times 9 = 144$$ $$16 \times 10 = 160$$ $$16 \times 11 = 176$$ $$16 \times 12 = 192$$

แม่ 17

$$17 \times 1 = 17$$ $$17 \times 2 = 34$$ $$17 \times 3 = 51$$ $$17 \times 4 = 68$$ $$17 \times 5 = 85$$ $$17 \times 6 = 102$$ $$17 \times 7 = 119$$ $$17 \times 8 = 136$$ $$17 \times 9 = 153$$ $$17 \times 10 = 170$$ $$17 \times 11 = 187$$ $$17 \times 12 = 204$$

แม่ 18

$$18 \times 1 = 18$$ $$18 \times 2 = 36$$ $$18 \times 3 = 54$$ $$18 \times 4 = 72$$ $$18 \times 5 = 90$$ $$18 \times 6 = 108$$ $$18 \times 7 = 126$$ $$18 \times 8 = 144$$ $$18 \times 9 = 162$$ $$18 \times 10 = 180$$ $$18 \times 11 = 198$$ $$18 \times 12 = 216$$

แม่ 19

$$19 \times 1 = 19$$ $$19 \times 2 = 38$$ $$19 \times 3 = 57$$ $$19 \times 4 = 76$$ $$19 \times 5 = 95$$ $$19 \times 6 = 114$$ $$19 \times 7 = 133$$ $$19 \times 8 = 162$$ $$19 \times 9 = 171$$ $$19 \times 10 = 190$$ $$19 \times 11 = 209$$ $$19 \times 12 = 228$$

แม่ 20

$$20 \times 1 = 20$$ $$20 \times 2 = 40$$ $$20 \times 3 = 60$$ $$20 \times 4 = 80$$ $$20 \times 5 = 100$$ $$20 \times 6 = 120$$ $$20 \times 7 = 140$$ $$20 \times 8 = 160$$ $$20 \times 9 = 180$$ $$20 \times 10 = 200$$ $$20 \times 11 = 220$$ $$20 \times 12 = 240$$

แม่ 21

$$21 \times 1 = 21$$ $$21 \times 2 = 42$$ $$21 \times 3 = 63$$ $$21 \times 4 = 84$$ $$21 \times 5 = 105$$ $$21 \times 6 = 126$$ $$21 \times 7 = 147$$ $$21 \times 8 = 168$$ $$21 \times 9 = 189$$ $$21 \times 10 = 210$$ $$21 \times 11 = 231$$ $$21 \times 12 = 252$$

แม่ 22

$$22 \times 1 = 22$$ $$22 \times 2 = 44$$ $$22 \times 3 = 66$$ $$22 \times 4 = 88$$ $$22 \times 5 = 110$$ $$22 \times 6 = 132$$ $$22 \times 7 = 154$$ $$22 \times 8 = 176$$ $$22 \times 9 = 198$$ $$22 \times 10 = 220$$ $$22 \times 11 = 242$$ $$22 \times 12 = 264$$

แม่ 23

$$23 \times 1 = 23$$ $$23 \times 2 = 46$$ $$23 \times 3 = 69$$ $$23 \times 4 = 92$$ $$23 \times 5 = 115$$ $$23 \times 6 = 138$$ $$23 \times 7 = 161$$ $$23 \times 8 = 184$$ $$23 \times 9 = 207$$ $$23 \times 10 = 230$$ $$23 \times 11 = 253$$ $$23 \times 12 = 276$$

แม่ 24

$$24 \times 1 = 24$$ $$24 \times 2 = 48$$ $$24 \times 3 = 72$$ $$24 \times 4 = 96$$ $$24 \times 5 = 120$$ $$24 \times 6 = 144$$ $$24 \times 7 = 168$$ $$24 \times 8 = 192$$ $$24 \times 9 = 216$$ $$24 \times 10 = 240$$ $$24 \times 11 = 264$$ $$24 \times 12 = 288$$

แม่ 25

$$25 \times 1 = 25$$ $$25 \times 2 = 50$$ $$25 \times 3 = 75$$ $$25 \times 4 = 100$$ $$25 \times 5 = 125$$ $$25 \times 6 = 150$$ $$25 \times 7 = 175$$ $$25 \times 8 = 200$$ $$25 \times 9 = 225$$ $$25 \times 10 = 250$$ $$25 \times 11 = 275$$ $$25 \times 12 = 300$$

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&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

$$0!=1$$

$$3!=6$$

$$4!=24$$

$$5!=120$$

$$6!=720$$

$$7!=5040$$

$$8!=40320$$

สูตรคูณแฟกทอเรียลพื้นฐาน

$$4! \times 1 = 24$$

$$4! \times 2 = 48$$

$$4! \times 3 = 72$$

$$4! \times 4 = 96$$

$$4! \times 5 = 120$$

$$4! \times 6 = 144$$

$$4! \times 7 = 168$$

$$4! \times 8 = 192$$

$$4! \times 9 = 216$$

$$4! \times 10 = 240$$

$$4! \times 11 = 264$$

$$4! \times 12 = 288$$

$$4! \times 13 = 312$$

$$4! \times 14 = 336$$

$$4! \times 15 = 360$$

$$4! \times 16 = 384$$

$$4! \times 17 = 408$$

$$4! \times 18 = 432$$

$$4! \times 19 = 456$$

$$4! \times 20 = 480$$

$$4! \times 21 = 504$$

$$4! \times 22 = 528$$

$$4! \times 23 = 552$$

$$4! \times 24 = 576$$

$$4! \times 25 = 600$$

$$4! \times 26 = 624$$

$$4! \times 27 = 648$$

$$4! \times 28 = 672$$

$$4! \times 29 = 696$$

$$4! \times 30 = 720$$

$$4! \times 31 = 744$$

$$4! \times 32 = 768$$

$$4! \times 33 = 792$$

$$4! \times 34 = 816$$

$$4! \times 35 = 840$$

$$4! \times 36 = 864$$

$$4! \times 37 = 888$$

$$4! \times 38 = 912$$

$$4! \times 39 = 936$$

$$4! \times 40 = 960$$

$$4! \times 41 = 984$$

$$4! \times 42 = 1008$$

$$4! \times 43 = 1032$$

$$4! \times 44 = 1056$$

$$4! \times 45 = 1080$$

$$5! \times 1 = 120$$

$$5! \times 2 = 240$$

$$5! \times 3 = 360$$

$$5! \times 4 = 480$$

$$5! \times 5 = 600$$

$$5! \times 6 = 720$$

$$5! \times 7 = 840$$

$$5! \times 8 = 960$$

$$5! \times 9 = 1080$$

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

$$n$$

$$\sum_{i=1}^{n}(i!)$$

$$2$$

$$3$$

$$3$$

$$9$$

$$4$$

$$33$$

$$5$$

$$153$$

$$6$$

$$873$$

$$7$$

$$5913$$