# Shortcuts for Multiplication of numbers | Easy way for Multiplications

## Easy Multiplication tricks for 2digit, 3digit and 4digit numbers

Multiplication process is crucial because most of the question of mathematics involves it.

Multiplication is one of the trick for doing addition. The concept of multiplication is essentially that when we need to add a certain number consecutively.

For example add 24 eight times, i.e 24+24+24+24+24+24+24+24 so in this process of addition it is also do conveniently  by using 24 x 8

In this article discussed about the easy method for doing the multiplication of 2 digit by 2 digit, 3digit by 3digit  and 4digit by 4 digit numbers.

Friends here having a simple algorithm in solution. Once you catch the logic than it is very easy to remember. For your better understanding purpose I wrote here in step by step. Once you can understand the steps you can do solution in single step.

### Multiplication of 2 digit number tricks :

In this process having 3 steps. for easy understanding purpose, here explained with alphabets as a number.

Take  ab x cd Let us go with one example 47 X 56

Step 1 : ( b x d ) = 7  x 6 = 42. Take ” 2 ” for answer and “4” to be carry over to next step ( Ans : 2).

Step 2 : [ (a x d) + (b x c) ] + add number if any carry over from previous step

i.e  [ (4 x 6) + (5 x 7) ]  + 4 = 63. Take ” 3 ” for answer and “6” to be carry over to next step ( Ans : 32)

Step 3 : ( a x c ) + add number if any carry over from previous step

i.e 4 x 5 =20 + 6 = 26   Take ” 26 ” ( Ans : 2632)

### Multiplication trick for 3 digit numbers :

In this process having 5steps. for easy understanding purpose, here explained with alphabets as a number. (abc x def) Now let us see one example 624 x 315 Step 1 : ( c x f ) = 4x 5= 20. Take ” 0 ”  for answer and “2” to be carry over to next step ( Ans : 0)

Step 2 : [ (b x f) + (c x e) ] + add number if any carry over from previous step

i.e  [ (2 x 5) + (4 x 1) ]  + 2 = 16. Take ” 6 ” for answer and “1” to be carry over to next step ( Ans : 60)

Step 3 : [ (a x f) + (b x e) + (c x d) ] + add number if any carry over from previous step

i.e [ (6 x 5) + (2 x 1) + (4 x 3) ]  + 1 = 45.  Take ” 5 ” for answer and “4” to be carry over to next step ( Ans : 560)

Step 4 : [ (a x e) + (b x d) ] + add number if any carry over from previous step

i.e  [ (6 x 1) + (2 x 3) ]  + 4 = 16.  Take ” 6 ” for answer and “1” to be carry over to next step ( Ans : 6560)

Step 5 : ( a x d )  + add number if any carry over from previous step

i.e ( 6 x 3) + 1 = 19   ( Ans : 196560)

So our final answer is 196560

### Multiplication trick for 4 digit numbers :

In this multiplication process having 7 steps. for easy understanding purpose here explained with alphabets as a number. (abcd x efgh) Now let us see one example  5243 x 7326 Step 1 : ( d x h ) = 3 x 6= 18.  Take ” 8 ” for answer and “1” to be carry over to next step ( Ans : 8)

Step 2 : [ (c x h) + (d x g) ] + add number if any carry over from previous step

i.e  [ (4 x 6) + (3 x 2) ]  + 1 = 31.  Take ” 1 ” for answer and “3” to be carry over to next step ( Ans : 18)

Step 3 : [ (b x h) + (c x g) + (d x f) ] + add number if any carry over from previous step

i.e [ (2 x 6) + (4 x 2) + (3 x 3) ]  + 3 = 32. Take ” 2 ” for answer and “3” to be carry over to next step ( Ans : 218)

Step 4 : [ (a x h) + (b x g)+ (c x f) + (d x e)] + add number if any carry over from previous step.

i.e  [ (5 x 6) + (2 x 2)+(4 x 3) + (3 x 7) ]  + 3 = 70.  Take ” 0 ” for answer and “7” to be carry over to next step ( Ans : 0218)

Step 5 : [ (a x g) + (b x f) + (c x e) ] + add number if any carry over from previous step

i.e [ (5 x 2) + (2 x 3) + (4 x 7) ]  + 7 = 51. Take ” 1 ” for answer and “5” to be carry over to next step ( Ans : 10218)

Step 6 : [ (a x f) + (b x e) ] + add number if any carry over from previous step

i.e  [ (5 x 3) + (2 x 7) ]  + 5 = 34. Take ” 4 ” for answer and “3” to be carry over to next step ( Ans : 410218).

Step 7 : ( a x e )  + add number if any carry over from previous step

i.e ( 5 x 7) + 3 = 38   ( Ans : 38410218) Math Tricks

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## 14 thoughts on “Shortcuts for Multiplication of numbers | Easy way for Multiplications”

#### Percentage formulas while increase and decrease percent of a number

(October 11, 2017 - 5:13 pm)

[…] Shortcuts for Multiplication of numbers | Easy way for Multiplications […]

#### Shortcuts methods of Division math | Tips and tricks for math division

(January 31, 2018 - 2:36 pm)

[…] Shortcuts for Multiplication of numbers | Easy way for Multiplications […] #### Prafulla

(September 26, 2018 - 8:15 am) #### sivaalluri

(September 26, 2018 - 4:02 pm)

Thank you Mr.Prafulla #### Prabhat mishra

(October 4, 2018 - 4:16 pm)

Nice and thanks #### sivaalluri

(October 25, 2018 - 5:18 pm)

Thank you #### rohit

(May 3, 2019 - 11:38 am)

does not work for all digits #### sivaalluri

(May 10, 2019 - 3:40 pm)

Its works only for two digits #### Ravinder

(October 29, 2019 - 4:27 pm)

I preety liked the method of solving 3 and 4 digit multiplication. #### Ravinder

(October 29, 2019 - 4:27 pm)

I pretty liked the method of solving 3 and 4 digit multiplication. #### sivaalluri

(October 30, 2019 - 4:01 pm)

Thank you #### Samuel

(October 29, 2021 - 5:58 pm)

Wonderful. Thanks a lot #### sivaalluri

(October 31, 2021 - 6:38 am)

Welcome #### H20Dragon

(November 22, 2022 - 3:50 am)

Great! You help humanity! GOD bless you, sivaalluri.