Multiply any 2 digit numbers


In this tutorial, we are going to learn the shortcut how to multiply any 2 digit numbers.  This method of multiplication is called Criss-Cross method of multiplication.

If both the multiplicand and the multiplier is a 2-digit number, you can get the answer in 3 steps.

Let’s explain with an example.  Suppose you want to multiply 32×21.

Let’s understand the steps involved.

Step 1 :  Multiply the digits in the unit place, that is 2×1=2. This will be the unit digit of the answer as well.




Step 2 :  Now this is important. Now, we cross-multiply the numbers 3×1=2 and 2×2=4 and add them. This is why it is referred to as  the term criss-cross multiplication. Write 7 in the 10’s place of the answer.




Step 3 :  This is the last step. You just multiply the digits in the 10’s place, that is 3×2=6.



So, the product will be :



The complete steps involved in the calculation can be illustrated in the following figure.




If you practice this shortcut, you can multiply the any 2 -digit numbers mentally without actually doing any computation.

Let’s take another example.  Let’s consider the multiplication 47×32. The complete steps involved in the calculation is illustrated in the figure:



Notice the carry-forward in each step. It is important to note that only 1 digit should be retained in each steps. The rest is carry forward.


Important Note :

Number of steps involved in the criss-cross multiplication  = 2x(number of digits) – 1

  • For 2-digit multiplication, number of steps : 2×2- 1 = 3
  • For 3-digit multiplication, number of steps : 2×3- 1 = 5
  • For 4-digit multiplication, number of steps : 2×4- 1 = 7


Easy 🙂 ?


Exercise : On the similar lines, can you multiply,

  • 18 x 19
  • 72 x 43
  • 92 x 99
  • 56 x 65


I hope this tutorial is useful. If you have any doubts concerning this tutorial, please leave a comment, I would be glad to help.

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. wow, awesome blog article.Really looking forward to read more. Awesome.

  2. The example was simple and neatly done. Finally able to do 2 digits, although 3 digits was a easy for me, I don’t know why. Have a good one!

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