# Multiplication And Divisibility Rules and Tricks

**Multiplication And Divisibility Rules and Tricks**–Hello all friends today we are going to share with you some tricks for Solving Maths and Doing it faster manner.

__DIVISIBILITY RULES :__

Divisible by 2 : If it ends with a 0, 2, 4, 6, or 8

Divisible by 3 : If the sum of the digits is a multiple of 3

Divisible by 4 : If the last two digits are a multiple of 4

(or if the last two digits are 00)

Divisible by 5 : If it ends with a 5 or 0

Divisible by 6 : If it is divisible by 2 and by 3

Divisible by 7 : Double the last digit and subtract it from the remaining leading truncated number. If the result is divisible by 7, then so was the original number. Apply this rule over and over again as necessary.

**Example :** 826. Twice 6 is 12. So take 12 from the truncated 82. Now 82-12=70. This is divisible by 7, so 826 is divisible by 7 also.

Divisible by 9 : If the sum of the digits are a multiple of 9

Divisible by 10 : If the last digit is 0

Divisible by 11 : Subtract the last digit from the remaining leading truncated number. If the result is divisible by 11, then so was the first number. Apply this rule over and over again as necessary.

**Example : **19151 : 1915-1 =1914 –>191-4=187 –>18-7=11, so yes, 19151 is divisible by 11.

Divisible by 13 : Add four times the last digit to the remaining leading truncated number. If the result is divisible by 13, then so was the first number. Apply this rule over and over again as necessary.

**Example: **50661–>5066+4=5070–>507+0=507–>50+28=78 and 78 is 6*13, so 50661 is divisible by 13

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__MULTIPLICATION RULES :__

**
**Multiply by 5: Multiply by 10 and divide by 2.

Multiply by 6: Sometimes multiplying by 3 and then 2 is easy.

Multiply by 9: Multiply by 10 and subtract the original number.

Multiply by 12: Multiply by 10 and add twice the original number.

Multiply by 13: Multiply by 3 and add 10 times original number.

Multiply by 14: Multiply by 7 and then multiply by 2

Multiply by 15: Multiply by 10 and add 5 times the original number, as above.

Multiply by 16: You can double four times, if you want to. Or you can multiply by 8 and then by 2.

Multiply by 17: Multiply by 7 and add 10 times original number.

Multiply by 18: Multiply by 20 and subtract twice the original number (which is obvious from the first step).

Multiply by 19: Multiply by 20 and subtract the original number.

Multiply by 24: Multiply by 8 and then multiply by 3.

Multiply by 27: Multiply by 30 and subtract 3 times the original number

(which is obvious from the first step).

Multiply by 45: Multiply by 50 and subtract 5 times the original number

(which is obvious from the first step).

Multiply by 90: Multiply by 9 (as above) and put a zero on the right.

Multiply by 98: Multiply by 100 and subtract twice the original number.

Multiply by 99: Multiply by 100 and subtract the original number.

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