Urdhva Tiryagbhyam (Vertically and Crosswise) Multiplication Calculator

What is Urdhva Tiryagbhyam?

Urdhva Tiryagbhyam (Vertically and Crosswise) is a Vedic maths technique used for fast multiplication. It works by combining vertical and crosswise multiplications in a systematic way to generate each digit of the result.

The Urdhva Tiryagbhyam method is a Vedic Maths multiplication technique also known as the "Vertically and Crosswise" method. In simpler terms, it is often referred to as the "Criss-cross" method because of the way digits are multiplied vertically and diagonally. All three names describe the same approach, differing only in terminology based on language and teaching style.

How This Calculator Helps You Understand Each Step

Explore the fascinating Vertically and Crosswise Multiplication Calculator, an online visual tool based on the famous Vedic Maths sutra "Urdhva Tiryagbhyam", meaning "Vertically and Crosswise". This ancient Indian method performs multiplication through a series of digit combinations, forming diagonal and vertical patterns that together produce the product — step by step.

Enter any multiplicand and multiplier up to 6 digits each, and watch how every step unfolds visually. The tool dynamically constructs tables showing which digits interact in each step, with arrows connecting them to illustrate the criss-cross structure of the calculation. Carry-overs from previous steps are clearly shown, helping learners understand the logic behind this right-to-left multiplication approach.

Each multiplication follows an odd number of steps, determined by the rule:

No. of Steps  2  (no. of digits in the longer number)  1

This makes it an excellent interactive way to grasp how the Criss-cross / Vertically and Crosswise / Urdhva Tiryagbhyam method scales elegantly for numbers of any length.

Unlike traditional static explanations, this tool provides a dynamic, step-by-step visualization of the Urdhva Tiryagbhyam method. Every vertical and crosswise multiplication is illustrated with arrows, tables, and carry tracking so you can clearly see how the final result is constructed. You can input any multiplicand and multiplier, generate instant solutions, and even share a direct link to a specific problem for easy reference or practice.