Multiply any number by 6…

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Trick to Multiply Any Number by 6

• Divide the number by 2 (take half).


• Add the first digit of the number to the result.


• Attach the last digit of the number at the end.

General Formula:

For any number XY (where X is the first digit and Y is the last digit): 6 × XY = (XY/2 + X)Y

This trick works for even numbers because they are divisible by 2. For odd numbers, the pattern might not hold perfectly.

Ex:

• 6 × 12 → (12 ÷ 2 + 1)2 = 72


• 6 × 24 → (24 ÷ 2 + 2)4 = 144


• 6 × 28 → (28 ÷ 2 + 2)8 = 168

Works for even numbers.

Multiplying a number by 6 follows these steps:

•     Take half of the other number.


•      Add the first digit of the other number to the half.


• Append the last digit of the other number at the end.

Few more examples:

Ex 1: 6 × 36

• Half of 36 - 36/2 = 18


• Add the first digit (3) - 18 + 3 = 21


• Join the last digit (6) → 216

            Ans: 6 × 36 = 216

Ex 2: 6 × 42

• Half of 42 - 42/2 = 21


• Add the first digit (4) - 21 + 4 = 25


• Append the last digit (2) - 252
  Ans : 6 × 42 = 252

Ex 3: 6 × 56

• Half of 56 - 56/2 = 28


• Add the first digit (5) - 28 + 5 = 33


• Append the last digit (6) - 336
  Ans : 6 × 56 = 336 (Correct)