# How to remember multiplication tables having same digits

I found it so difficult myself. Growing up as a student, I was really poor at memorizing number. Now, I know, I was not alone. One of the things students find hard is to memorize tables. I would say, we should never memorize the multiplication tables. When you start memorizing, you fail to observe the patterns in the multiplication. This tutorial is on a series of tutorials on how to remember multiplication tables.

In this tutorial, we will see how to remember the tables having same digits like 11, 22, 33. Later, we will see how to remember the tables of digits having the same digits like 2222, 4444, 9999 and so on.

## Multiplication Table of 2-digit number where digits are same

Let us understand with a very simple example. Let us say, we want to remember the multiplication table of 55.

Step 1 : Write the multiplication table of 5. You already know this. I am just repeating it here.

 Product Multiplication 5 x 1 05 5 x 2 10 5 x 3 15 5 x 4 20 5 x 5 25 5 x 6 30 5 x 7 35 5 x 8 40 5 x 9 45 5 x 10 50

Step 2 : Now the multiplication table of 55 can be easily obtained by looking at the multiplication table of 5.

Just separate the digits in the 5 multiplication table. The middle digit is obtained by adding the first and the last digit as shown in the multiplication table.

 Product 5 Tables 55 Tables 55 Tables 55 x 1 0 __ 5 0 (0+5) 5 055 55 x 2 1 __ 0 1 (1+0) 5 110 55 x 3 1 __ 5 1 (1+5) 5 165 55 x 4 2 __ 0 2 (2+0) 0 220 55 x 5 2 __ 5 2 (2+5) 5 275 55 x 6 3 __ 0 3 (3+0) 0 330 55 x 7 3 __ 5 3 (3+5) 5 385 55 x 8 4 __ 0 4 (4+0) 0 440 55 x 9 4 __ 5 4 (4+5) 5 495 55 x 10 5 __ 0 5 (5+0) 0 550

This is pretty cool right ðŸ™‚

Can you then right the multiplication table of 77 ?

 Product 7 Tables 77 Tables 77 Tables 77 x 1 0 __ 7 0 (0+7) 7 077 77 x 2 1 __ 4 1 (1+4) 4 154 77 x 3 2 __ 1 2 (2+1) 1 231 77 x 4 2 __ 8 2 (2+8) 8 308 77 x 5 3 __ 5 3 (3+5) 5 385 77 x 6 4 __ 2 4 (4+2) 2 462 77 x 7 4 __ 9 4 (4+9) 9 539 77 x 8 5 __ 6 5 (5+6) 6 616 77 x 9 6 __ 3 6 (6+3) 3 693 77 x 10 7 __ 0 7 (7+0) 0 770

Important : When the addition results in a number which is greater than 10, it is carry forward just like in multiplication.

For instance, consider 77 x 8 :

## Multiplication Table of 3 or more digit number where digits are same

Let us see, how to remember the multiplication tables of numbers having the same digits like 2222, 4444, 9999 and so on.

When you are obtaining the multiplication table of 555, you repeat the middle digit (obtained by taking the sum of the digits of multiplication table 5) twice. Similarly, when you are obtaining the multiplication table of 5555, you repeat it thrice and so on.

The multiplication table of 555, 5555 is given in the below table.

 Product 5 Tables 55 Tables 555 Tables 5555 Tables 55 x 1 0 __ 5 055 0 (55) 5 = 555 0 (555) 5 = 5555 55 x 2 1 __ 0 110 1 (11) 0 = 1110 1 (111) 0 = 11110 55 x 3 1 __ 5 165 1 (66) 5 = 1665 1 (666) 5 = 16665 55 x 4 2 __ 0 220 2 (22) 0 = 2220 2 (222) 0 = 22220 55 x 5 2 __ 5 275 2 (77) 5 = 2775 2 (777) 5 = 27775 55 x 6 3 __ 0 330 3 (33) 0 = 3330 3 (333) 0 = 33330 55 x 7 3 __ 5 385 3 (88) 5 = 3885 3 (888) 5 = 38885 55 x 8 4 __ 0 440 4 (44) 0 = 4440 4 (444) 0 = 44440 55 x 9 4 __ 5 495 4 (99) 5 = 4995 4 (999) 5 = 49995 55 x 10 5 __ 0 550 5 (55) 0 = 5550 5 (555) 0 = 55550

Now, let us consider the multiplication of 777, 7777 and so on.

There is a slight variation here. When we were obtaining the multiplication table of 777, 7777 and so on, the addition of the digits results in a carry. This additional carry is forwarded to all the digits on the left

For instance, consider 7777 x 8 :

The multiplication table of 777, 7777 is given in the below table.

 Product 7 Tables 77 Tables 777 Tables 7777 Tables 77 x 1 0 __ 7 077 0 (77) 7 = 777 0 (777) 7 = 7777 77 x 2 1 __ 4 154 1 (55) 4 = 1554 1 (555) 4 = 15554 77 x 3 2 __ 1 231 2 (33) 1 = 2331 2 (333) 1 = 23331 77 x 4 2 __ 8 308 2 (00) 8 = 3108 2 (000) 8 = 31108 77 x 5 3 __ 5 385 3 (88) 5 = 3885 3 (888) 5 = 38885 77 x 6 4 __ 2 462 4 (66) 2 = 4662 4 (666) 2 = 46662 77 x 7 4 __ 9 539 4 (33) 9 = 5439 4 (333) 9 = 54439 77 x 8 5 __ 6 616 5 (11) 6 = 6216 5 (1111) 6 = 62216 77 x 9 6 __ 3 693 6 (99) 3 = 6993 6 (9999) 3 = 69993 77 x 10 7 __ 0 770 7 (77) 0 = 7770 7 (7777) 0 = 77770

If you know the multiplication table of 2, 3,4 and so on, you can now remember the multiplication table like 111, 222, 33333, 55555 and so on without memorizing anything.