# Short Trick for Multiplication with the Multiples of 11 i.e. 22, 33, 44, 55, 66, 77,...

**Short Trick to Multiply any Number by 11.**

Let us understand how it works by multiplying **63852 X 11**

**Step 1: **Keep the unit digit of 63852 as same i.e. 2

**Step 2:** Add the corresponding number together i.e. 2 + 5 = 7 and place the number obtained in step 1 to left of it i.e. 72

**Step 3:** Add the corresponding number together i.e. 5 + 8 = 13 and place 3 to the number obtained in step 2 to left of it i.e. 372 and keep the carry 1 to be added in the next step.

**Step 4:** Add the corresponding number together i.e. 8 + 3 = 11 and add to it carry 1 from previous step i.e. 11 + 1 = 12, place 2 to the number obtained in step 3 to left of it i.e. 2372 and keep the carry 1 to be added in the next step.

**Step 5:** Add the corresponding number together i.e. 3 + 6 = 9 and add to it carry 1 from previous step i.e. 9 + 1 = 10, place 0 to the number obtained in step 4 to left of it i.e. 02372 and keep the carry 1 to be added in the next step.

**Step 6:** Keep the first digit i.e. 6 as it is and add the carry to it from the previous step i.e. 6 + 1 = 7 4 to left of it i.e. 702372

So, 63852 X 11 = **702372 (Answer)**

**Tricks to Multiply any Number by multiples of 22**

Let us understand how it works by multiplying **63852 X 22**

Repeat all the 6 steps done for 11 with an additional step of multiplying it with 2

**Step 7:** Multiply the number obtained by multiplying with 11 with 2 as 22 = 11 X 2

702372 X 2 = 1404744

**Tricks to Multiply any number by multiples of 33**

Let us understand how it works by multiplying **63852 X 33**

Repeat all the 6 steps done for 11 with an additional step of multiplying it with 6

**Step 7:** Multiply the number obtained by multiplying with 11 with 6 as 66 = 11 X 6

702372 X 6 = **4214232 (Answer)**

This method holds True for All Multiples of 11

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