## 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)**

So final answer is **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)

So final answer is **38410218.**

**Math Tricks
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## 16 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)Very helpful method.enjoyed it .

## 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.

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