# Short Trick for Multiplying A Number by 12, 13, 14, 15, 16, 17, 18 & 19.

**Tricks to Multiply any number by 12**

Let us understand how it works by multiplying **63852 X 12**

**Step 1:** Start by adding 0(zero) before the number **063852**

**Step 2:** Start multiplication with the right-most digit with 2 and add it to the next digit numbers as it is the last digit so add 0 to it.

2 X 2 + 0 = 4

**Step 3:** Multiply 2 with the next number from right and add the next digit number together i.e. 5 X 2 + 2 = 12 and place the number to the left of the number obtained in previous step i.e. 24 and keep the carry 1 to be added in the next step.

**Step 4:** Multiply 2 with the next number from right and add the next digit number together i.e. 8 X 2 + 5 = 21 and place the number to the left after adding the carry from the previous step i.e. 21 + 1 = 22 to the number obtained in previous step i.e. 224 and keep the carry 2 to be added in the next step.

**Step 5:** Multiply 2 with the next number from right and add the next digit number together i.e. 3 X 2 + 8 = 14 and place the number to the left after adding the carry from the previous step i.e. 14 + 2 = 16 to the number obtained in previous step i.e. 6224 and keep the carry 1 to be added in the next step.

**Step 6:** Multiply 2 with the next number from right and add the next digit number together i.e. 6 X 2 + 3= 15 and place the number to the left after adding the carry from the previous step i.e. 15 + 1 = 16 to the number obtained in previous step i.e. 66224 and keep the carry 1 to be added in the next step.

**Step 7:** Multiply 2 with the next number from right, here comes the reason of adding 0 in step 1 and add the next digit number together i.e. 0 X 2 + 6 = 6 and place the number to the left after adding the carry from the previous step i.e. 6 + 1 = 7 to the number obtained in previous step i.e. 766224.

So, 63852 X 12 = **766224 (Answer)**

You may have noticed that the above example was with multiplication of 12. This method is applicable for any multiplication with number **12** to** 19**. Here’s an example to demonstrate.

**Tricks to Multiply any number by 13**

Let us understand how it works by multiplying **63852 X 13**

**Step 1: **Start by adding 0 before the number **063852**

**Step 2:** Start multiplication with the right-most digit with 3 and add it to the next digit numbers as it is the last digit so add 0 to it.

2 X 3 + 0 = 6

**Step 3:** Multiply 3 with the next number from right and add the next digit number together i.e. 5 X 3 + 2 = 17 and place the number to the left of the number obtained in previous step i.e. 76 and keep the carry 1 to be added in the next step.

**Step 4:** Multiply 3 with the next number from right and add the next digit number together i.e. 8 X 3 + 5 = 29 and place the number to the left after adding the carry from the previous step i.e. 29 + 1 = 30 to the number obtained in previous step i.e. 076 and keep the carry 3 to be added in the next step.

**Step 5:** Multiply 2 with the next number from right and add the next digit number together i.e. 3 X 3 + 8 = 17 and place the number to the left after adding the carry from the previous step i.e. 17 + 3 = 20 to the number obtained in previous step i.e. 0076 and keep the carry 2 to be added in the next step.

**Step 6:** Multiply 3 with the next number from right and add the next digit number together i.e. 6 X 3 + 3= 21 and place the number to the left after adding the carry from the previous step i.e. 21 + 2 = 23 to the number obtained in previous step i.e. 30076 and keep the carry 2 to be added in the next step.

**Step 7:** Multiply 3 with the next number from right, here comes the reason of adding 0 in step 1 and add the next digit number together i.e. 0 X 3 + 6 = 6 and place the number to the left after adding the carry from the previous step i.e. 6 + 2 = 7 to the number obtained in previous step i.e. 830076.

So, 63852 X 13 = **830076 (Answer)**

Similarly, using this method you can calculate the product of any number when divided by 12 to 19. Multiplying by teen numbers are extremely common so it's important to know this trick which makes things much easier.

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