# Multiplication Tricks - Find solution within 20 seconds

Today I am going to share quick multiplication tricks that will help you find the solution within 20 seconds. Must read - 10 Coolest Maths tricks

### Multiply by 9,99,999,etc...

56*99=5544
Step 1:Place a zero at the end for each 9 :5600
Step 2 : Subtract the original number from Step 1 like this 5600-56=5544

### Multiply by 125

68*125=8500
Step 1 :Place three zeros at the end of the number :68000
Step 2: Divide the number from Step 1  by 8:68000/8=8500

64*125 is the same as :
32*250 is the same as
16*500 is the same as
8*1000

64*125
Step 1. Each time you just need to pick 125 multiply it by 8 will get 1000
Step 2. Pick 64 and divide it by 8 will get 8
Step 3. Multiply the results with each other 8* 1000
Hence Solution is 8000
[Hint: Just remember 125*8=1000]

### Multiply two digits numbers ending in 1

51*31=1581
Step 1: Multiply the left most digits : 5*3=15
Step 2: Add the left most digits:5+3=8
Step 3: Places the result from Step 2 next to the result from Step 1:158
Step 4 : Places 1 next to the result from  Step 3 : 1581

### Multiply numbers between 11 and 19

14*18=252
Step 1: Add the larger  number to the right most digit of the other number:18+4=22
Step 2: Put a 0 at the end of the result from step 1:220
Step 3 :Multiply the right most digits of both original numbers : 8*4=32
Step 4:Add Step 2 and step 3 :220+32=252

### Multiply two digit number by 11

53*11=583
Step 1: Add the both digts of the two digit number:5+3=8
Step 2: Place the result in between both digits : 583

59*11=649
Step 1: 5+9=14
Step 2 : Carry the 1 when the result is greater than 9:5+1=6
Step 3: 649

### Multiply by 5

1234 *5 =6170
Step 1 : Divide  the number by 2 :1234/2=617
Step 2: Multiply  the result from Step 1 by 10 : 617*10=6170

### Multiply by 25

18*25=450
Step 1: Divide  the number by 4:18/4
Step 2: Multiply  the number from Step 1 by 100: 4.5 * 100 = 450

### Multiply by 9

56*9=504
Step 1: Multiply the number by 10: 56*10=560
Step 2: Subtract the original number from Step 1: 560-56=504

### Factorization

By Factoring number,you can break down problems into simpler multiplication tasks.Also,you may be able to apply some techniques you learned.

21*33
step 1 : 21*11*3
Step 2: 231*3
Step 3 :693

67*81
Step 1: 67*9*9
Step 2:603*9=5427

28*125=3500
Step 1: 28*125
Step 2: 28*25*5
Step 3:28*(100/4)*5
Step 4:28/4*100*5
Step 5:7*500=3500

### Some Special type

#### When sum of unit digit is 10 and remaining digit is same.

43×47 = 4 × ( 4+1 ) / 3×7
= 4×5/21
20/21
Ans = 2021

72×78 = 7×8 / 2×8
= 56/16
Ans = 5616

104 × 106 = 10× ( 10+1 ) / 4×6
= 10 × 11/24
= 110/24
Ans = 11024

#### When sum of ten's digit is 10 and unit digit is same

46 × 66
= ( 4×6 ) +6 / 6×6
= 24 + 6/36
= 30/ 36
Ans = 3036

83 × 23
= ( 8×2 ) +3 / 3×3
= 19/09
Ans = 1909

92 × 12
= ( 9×1 ) + 2/2 × 2
= 11/04
Ans = 1104

#### When unit digit is 5 in both the numbers and difference between both number is 10.

75 × 65
=  6 × ( 7+1 ) / 75
=  48/75
Ans = 4875

45 × 35
= 3 × ( 4+1 )/75
= 15 /75
Ans = 1575

105 × 95
= 9 × ( 10+1 ) / 75
= 99/75
Ans = 9975

### Multiply by 11,111,1111....so on

Ques 1. 111111111 ✘ 111111111 = ?
Sol:
No of digits in multiplier = 9
Write in ascending order from left side like this:
987654321
and now 9-1=8
write it in descending order just after it
12345678
now you will get like this:
12345678987654321
hence
111111111111111111 = 12345678987654321

Ques 2. 1111111111 ✘ 1111111111 = ?
Sol:
No of digits in multiplier =10
Write in ascending order from left side like this:
10 9 8 7 6 5 4 3 2 1
and now 10-1=9
write it in descending order just after it
1 2 3 4 5 6 7 8 9
and after it just add the carry
1 2 3 4 5 6 7 8/ 9/ 10 9 8 7 6 5 4 3 2 1
8+1/   9+1 / 0
1 2 3 4 5 6 7 9 0 0 9 8 7 6 5 4 3 2 1
now you will get like this:
1234567900987654321
hence
1111111111✘1111111111 = 1234567900987654321
Ques 3. 11111112222222 = ?
Sol:
No of digit in the multiplier is 7 then let n=7;
Now Just multiply the digit 2 from 1 to 7 time & arrange them from extreme left to right in ascending order,you will get like this:
14 12 10 8 6 4 2
and now just subtract one from n.like this n=7,so n-1=6.
Multiply the digit 2 from 1 to 6 time & arrange them from just right after it,you will get like this:
2 4 6 8 10 12
Now placing both outcome like this & add the carry
2 4 6 8 10 12 14 12 10 8 6 4 2
8+1/0+1/2+1/4+1/2+1
2 4 6 9 1 3 5 3 0 8 6 4 2

Ques 4. 1111111✘5555555 = ?
Sol:
No of digit = 7
Now Just multiply the digit 5 from 1 to 7 time & arrange them from extreme left to right in ascending order,you will get like this:
35 30 25 20 15 10 5
Just right after it perform same action but in descending order & till 6 times only.like this:
5 10 15 20 25 30
Now placing together ,just add the carry
5 10 15 20 25 30 35 30 25 20 15 10 5
6 1 7 2 8 3 8 2 7 1 6 0 5
11111115555555=6172838271605

#### What's trending in BankExamsToday

Smart Prep Kit for Banking Exams by Ramandeep Singh - Download here

1. thnku sir....

2. thank u sir

3. thanks sir:)

4. thank u sir..
Sir any idea about Lakshmi vilas bank PO exam??

5. Watz der n a nameJune 2, 2015 at 5:44 PM

Thanku soo much sir...really this wll save time!!!thanks alot

6. THANKS A TON

7. sir, we are paying a lot of thanks to u.

8. wow grt :)

9. Appreciate ur all round dedication .....

10. Great sir
thanks a lot!!!!!!!!!!!!!!!!!!!!!

11. Thanks .

12. great sir thank u:)

13. Thanks

14. Hmmmmm...yaha ho.. ab :)))

15. @b_sharma

Bhai mai bhi yaha hu :P

17. second trick is so easy and very useful, and i was looking for such a trick. Thank you sir.

18. Not getting proper answer in NUMBER ENDING IN 1

Example:

51 × 61

Step 1 - 5 × 6 = 30
Step 2 - 5 + 6 = 11

Step 3 - 3011 from above steps
Step 4 - now placing 1 at last on step 3 - 30111

But ans is 51 × 61 = 3111

19. Correct way of solving NUMBER ENDING IN 1 IS
EXAMPLE-
1ST) 41 × 31
STEP 1 : 4 × 3 = 12
STEP 2: 4 + 3 = 7
STEP 3: PLACE 0 AT RESULT OF STEP 1; 120
AND PLACE 0 BEFORE THE RESULT OF STEP 2; 07
NOW ADD BOTH 120 + 07 = 127
STEP 4 : NOW PLACE 1 AT RESULT OF STEP 3:
1271

RESULT OF 41 × 31 = 1271

CHECK UR METHOD U WILL GET WRONG ANSWER

20. Thanks Sir

22. Hello ramandeep g I m selected in syndicate bank po...I want home posting should I apply for haryana gramin bank as office assistant

23. After how much I will promoted to officer scale 1 in haryana gramin bank

24. Ankit 300+11 is 311 not 3011

25. check my method

26. According to ur given steps. In step 3, we have to place the results from step 2 next to the results from step 1, not to add them.. please read ur given steps.. carefully

27. According to above steps .. in step 3 we have to place result from step 2.. to next of result of step 1.. not to add them.. according to ur given steps.. please read ur given steps..

28. multiply by 5 example should be 1234 and not 12345 ....right ? :)

29. u did not carry forward the 1 from 5+6=11..so u got wrong ans

30. Thanku sir

31. Awesome...

32. hi sir. how come 138^48 is equal to 6^48?

33. yup! edited now!

34. i couldn't understand unit digit question n sol.,plz elaborate it how this 6 came

35. Ty Sir

36. nice trick sir... thanks a lot...

37. Hi,I am also unable to understand this method..Try this method
147^128*138^148=?
Consider the unit digits of 147 & 138..i.e) 7 & 8
Now,7^1=7
7^2=9(7*7=49,take only unit place)
7^3=3
7^4=1
7^5=7,7^6=9(the process repeats for every four steps..
Likewise,take the unit digit of 138..i.e)8
8^1=8
8^2=4
8^3=2
8^4=6(this process repeats)
Now,1st part..147^128==>7^128(take only unit place)
since both the powers of 7 and 8 takes 4 steps and then the process is repeating..we can divide the powers by 4..
Check whether 128 is divisible by 4....yes,it is divisible..
So,7^4=1...So,the unit place of 147^128 is 1..
Now 138^148 can be taken as 8^148
148 is also divisible by 4...So,8^4=6,===>unit place of 138^148=6
therefore,147^128*138^148===>1*6=6
So,the answer is 6 : )

38. Ya thank u I got a mail regarding this..

39. http://www.bankexamstoday.com/2015/06/unit-digit-shortcut-find-last-digit-of.html

40. Unit digit multiplication

http://www.bankexamstoday.com/2015/06/unit-digit-shortcut-find-last-digit-of.html

41. Plz tell anyone if anybody is in a govt dept then in below column which date will be our To date plzz clarify..in this column which am i presenting

42. thnx a ton sir

43. 5425*99=537075.sir pl check it.

44. sir pls mention with year.little bit confusing wen we look over through heading

45. sir give me some tips for idbi executive exam

46. thank u sooo much ramandeep singh sir

47. very useful sir

48. sorry sir, there is an additional zero in the first problem.

49. why there is mistakes in the handwritten notes

50. THANK U SIR