How to remember multiplication tables upto 1000?

In the previous tutorial on Mathematical Shortcuts, we saw how to memorize the multiplication table upto 100. In this article, we will discuss, how to remember multiplication tables upto 1000. Memorizing multiplication was one of the hardest thing, that I had to do growing up as a student. However, if you are well-versed with basic multiplication and addition, I can confidently tell, you can easily remember the multiplication tables upto 1000. I would go a step further, you can in-fact remember the multiplication tables upto 10000.

Example 1 :
Let us say you want to recall the multiplication table of 123. If you look 123 as a single number, it would be impossible really to recall the multiplication table. However, the trick is to break the number such that the multiplication easier.

 Tables Multiplication 123 x 1 12 / 3 x 1 12 / 3 123 123 x 2 12 / 3 x 2 24 / 6 246 123 x 3 12 / 3 x 3 36 / 9 369 123 x 4 12 / 3 x 4 48 / 12 492 123 x 5 12 / 3 x 5 60 / 15 615 123 x 6 12 / 3 x 6 72 /18 738 123 x 7 12 / 3 x 7 84 / 21 861 123 x 8 12 / 3 x 8 96 / 24 984 123 x 9 12 / 3 x 9 108 / 27 1107 123 x 10 12 / 3 x 10 120 / 30 1230

You know, it is possible to break the number 123 into 1 and 23. But then, we need to know the multiplication table of 23 which is difficult compared to breaking the number as 12 and 3.

Now, let us consider another example.

Example 2 : Can you obtain the multiplication table of 913 ?

 Tables Multiplication 913 x 1 9 / 13 x 1 9 / 13 913 913 x 2 9 / 13 x 2 18 / 26 1826 913 x 3 9 / 13 x 3 27 / 39 2739 913 x 4 9 / 13 x 4 36 / 52 3652 913 x 5 9 / 13 x 5 45 / 65 4565 913 x 6 9 / 13 x 6 54 / 78 5478 913 x 7 9 / 13 x 7 63 / 91 6391 913 x 8 9 / 13 x 8 72 / 104 7304 913 x 9 9 / 13 x 9 81 / 117 8217 913 x 10 9 / 13 x 10 90 / 130 9130

If you notice, we break the number 913 into 9 and 13. It is possible to break the numbers into 91 and 3. However, for that, we need to know the multiplication table of 91.

Please note the difference from the previous example. Here we have 2 digits 13 on the right. So in the answer, we keep 2 digits and the rest is carry forward.

So, the idea is instead of multiplying the whole number as-is, we break the number such that it is easier with the mathematical calculation. With practice, you will be able to multiply and obtain the multiplication without doing any calculation.

Example 3 :
Let us consider another example. Can you obtain the multiplication table of 456?

If you notice, when we break the number 456 into 45 and 6, we donot know the multiplication of table 45. However, we have discussed how to remember multiplication tables upto 100. With proper practice, you can easily compute and remember any multiplication table upto 1000.

 Tables Multiplication 456 x 1 45 / 6 x 1 45 / 6 456 456 x 2 45 / 6 x 2 90 / 12 912 456 x 3 45 / 6 x 3 135 / 18 1368 456 x 4 45 / 6 x 4 180 / 24 1824 456 x 5 45 / 6 x 5 225 / 30 2280 456 x 6 45 / 6 x 6 270 / 36 2736 456 x 7 45 / 6 x 7 315 / 42 3192 456 x 8 45 / 6 x 8 360 / 48 3648 456 x 9 45 / 6 x 9 405 / 54 4104 456 x 10 45 / 6 x 10 450 / 60 4560

With proper practice and understanding, you can easily compute and remember the multiplication table even upto 10000.

Let us take a very simple example so that is clear to you.

Example 4 :
Can you obtain the multiplication table of 1213.

 Tables Multiplication 1213 x 1 12 / 13 x 1 12 / 13 1213 1213 x 2 12 / 13 x 2 24 / 26 2426 1213 x 3 12 / 13 x 3 36 / 39 3639 1213 x 4 12 / 13 x 4 48 / 52 4852 1213 x 5 12 / 13 x 5 60 / 65 6065 1213 x 6 12 / 13 x 6 72 / 78 7278 1213 x 7 12 / 13 x 7 84 / 91 8491 1213 x 8 12 / 13 x 8 96 / 104 9704 1213 x 9 12 / 13 x 9 108 / 117 10917 1213 x 10 12 / 13 x 10 120 / 130 12130

Notice, now we break the number 1213 into 12 and 13 and perform separate multiplication and later combine it.

Try yourself

Can you obtain the multiplication table of :

1. 154
2. 924
3. 817
4. 708
5. 2113
6. 4505

Kiran Chandrashekhar

Hey, Thanks for dropping by. My name is Kiran Chandrashekhar. I am a full-time software freelancer. I love Maths and Mathematical Shortcuts. Numbers fascinate me. I will be posting articles on Mathematical Shortcuts, Software Tips, Programming Tips in this website. I love teaching students preparing for various competitive examinations. Read my complete story.

1. very helpful.please post shortcut tricks for number series and data interpretation.

• Kiran Chandrashekhar

I shall do it soon, Write to me with your specific questions, I shall try to answer it.

Thanks
Kiran

2. please post shortcuts for number series.

3. Neeraj

Kiran, U r amazing I really appreciate ur efforts, I am searching square root short tricks and hit to ur site and after reading few articles I simply fall in love with ur technique and explanation.
If I stuck somewhere then I think you are the right person to approach

• Kiran Chandrashekhar

Hello Niraj,

Thank you so much for your kind words. I am glad you liked my work and the shortcuts.

4. Babita

I never learn anywhere else all such shortcut tricks, thank u so much sir for ur efforts … !!!

• Kiran Chandrashekhar

I am glad you liked it. Thanks

5. Abhay

श्री.करणजी
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अपेक्षा है की मैं मेरे 5 वी कक्षा के बेटे को इसे अच्छी तरहा समझा सकुंगा.
अभय भंडारी

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