How to Multiply a repeating 2's number by 66

Multiplying a repeating 2's number by 66

Steps to Follow :-

1. Choose a repeating 2's number (ex ;- 222, etc.)
2. Multiply it by 66
3. The result is:
   - the first two digits are 14
   - the next digits are repeating 6's i.e No.of 2's minus 2 (if 222 is number then only one 6)
   - the last two digits are 52

   Example:1

1. If the first number is 222:
2. Multiply by 66.
3. The product is:
   - the first two digits are 14.
   - the next digits are repeating 6's (two fewer than repeating 2's in the original number): 6. (3-2)
   - the last two digits are 52.
4. So 222 × 66 = 14652.

      Example:2

1. If the first number is 22222:
2. The product is:
   - the first two digits are 14.
   - the next digits are repeating 6's (two fewer than repeating 2's in the original number): 666. (5-2)
   - the last two digits are 52.
3. So 22222 × 66 = 1466652.

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Divisibility Of Numbers - Shortcuts

Dividing by 2

1. All even numbers are divisible by 2. E.g., all numbers ending in 0,2,4,6 or 8.
Example:236,569874,369562

Dividing by 3

1. Add all the digits in the number.
2. If the sum is divisible by 3, then the number is also divisible by 3
3. For example: 12345 (1+2+3+4+5=15) 15 is divisible by 3, therefore 12345 is too!

Dividing by 4

1. if the last two digits in the given number is divisible by 4. then 
the number is also divisable by 4
2. For example: 358912 ends in 12 which is divisible by 4, so the number 358912 too.

Dividing by 5

1. If the Numbers ending in a 5 or a 0 are always divisible by 5.

Dividing by 6

1. If the Number is divisible by 2 and 3, then it is divisible by 6 also.

Dividing by 8

1. This one's not as easy, if the last 3 digits are divisible by 8, so is the entire number.
2. Example: 6008 - The last 3 digits are divisible by 8, therefore, so is 6008.

Dividing by 9

1. Almost the same rule and dividing by 3. Add all the digits in the number.
2. If the sum is divisible by 9, then the number is also divisible by 9
3. For example: 43785 (4+3+7+8+5=27) 27 is divisible by 9, therefore 43785 is too!

Dividing by 11

1. Add all the digits in Even Places, Odd places Separately
2. If the Diffrence between them is Zero or Divisable by 11 then Then the number is also divisible by 11
3. For example :- 39567 (odd places - 3+5+7 = 15 , even places - 9+6=15) diff is zero, so num is divisible by 11

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