Urdhva Tiryakbhyam (Urdhva Tiryak)
Shortcut (General) Method of multiplication in Vedic Mathematics for all types of numbers
Commonly called as:
Urdhva Tiryak (we will call it as UT Method).
Sanskrit Name:
ऊर्ध्वतिर्यभ्याम्
English Translation:
Vertically and Crosswise (CrissCross)
Prerequisites
 There are no such Prerequisites as this method is applicable to all forms of numbers. But if numbers have larger digits then Vinculum can be used. (for simplicity)
Also Read => More Vedic Mathematics Sutras for Multiplication.
Shortcut to Multiply 2 digit numbers
Formula :
(ax+b)(cx+d) = acx^{2} + (ad+bc)x + bd
Process: (Left –> Right)
 Vertical Multiplication of 1st digits of the numbers.
 Crosswise Multiplication Addition (i.e. Crosswise Multiplication and adding them).
 Vertical Multiplication of last digits of the numbers.
 For all steps, except 1st step, each step (compartment) needs to have ONLY 1 digits. If not then carry forward initial digits to previous compartment (Check below examples to understand).
Shortcut to Multiply 3 digit numbers
Formula :
(ax^{2}+bx+c)(dx^{2}+ex+f) = adx^{4} + (ae+bd)x^{3} + (af+be+cd)x^{2} + (bf+ce)x + cf
Process: (Left –> Right)
 Vertical Multiplication of 1st digits of 2 numbers.
 Crosswise Multiplication Addition of 1st 2 digits 2 numbers.
 Crosswise Multiplication Addition of all 3 digits of both the numbers.
 Crosswise Multiplication Addition of last 2 digits 2 numbers.
 Vertical Multiplication of last digits 2 numbers.
 For all steps, except 1st step, each compartment needs to have ONLY 1 digits. If not then carry forward initial digits to previous compartment (Check below examples to understand).
Examples:
Urdhva Tiryak Multiplication using Vinculum Process:
Tricks to Multiply 4 digit numbers
Process: (Left –> Right)
 Vertical Multiplication of 1st digits.
 Crosswise Multiplication Addition of 1st 2 digits.
 Crosswise Multiplication Addition of 1st 3 digits.
 Crosswise Multiplication Addition of all digits.
 Crosswise Multiplication Addition of last 3 digits.
 Crosswise Multiplication Addition of last 2 digits.
 Vertical Multiplication of last digits.
Example:
Similarly Urdhva Tiryak multiplication tricks can be applied numbers have more than 4 digits.
What You Think ????
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How the following examples can be solved using Urdhva Tiryak Sutra !!!
1) 123 x 531 2) 357 x 398 3) 897 x 432 4) 987 x 789 5) 678 x 678 
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Bhargavi says
Sir please explain multiplication of 5 digit numbers…