Numbers


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Basic formulas for Number System

4) Divisibility by 16: A number 'N' is divisible by 16 if the last four digits of 'N' are 0's or are divisible by 16.
Example: 12400, 31648, 330000 etc.
Number 12400 is divisible by 16 because the last four digits of 12400 are divisible by 16.
Number 31648 is divisible by 16 because the last four digits of 31648 are divisible by 16.
Number 330000 is divisible by 16 because the last four digits of 330000 are 0's.

5) Divisibility by 32: A number 'N' is divisible by 32 if the last five digits of 'N' are 0's or are divisible by 32.
Example: 2512800, 12121231648, 300000 etc.
Number 2512800 is divisible by 32 because the last five digits of 2512800 are divisible by 32.
Number 12121231648 is divisible by 32 because the last five digits of 12121231648 are divisible by 32.
Number 300000 is divisible by 32 because the last five digits of 300000 are 0's.

6) Divisibility by 3: A number 'N' is divisible by 3 if the sum of the digits of number 'N' is divisible by 3.
Example: 240, 258, 123456789
Number 240 is divisible by 3 because the sum of the digits of 240 is 6 and 6 is divisible by 3.
Number 258 is divisible by 3 because the sum of the digits of 258 is 15 and 15 is divisible by 3.
Number 123456789 is divisible by 3 because the sum of the digits of 123456789 is 45 and 45 is divisible by 3.

7) Divisibility by 9: A number 'N' is divisible by 9 if the sum of the digits of number 'N' is divisible by 9.
Example: 243, 3456, 123456789, 25200
Number 243 is divisible by 9 because the sum of the digits of 243 is divisible by 9.
Number 3456 is divisible by 9 because the sum of the digits of 3456 is divisible by 9.
Number 123456789 is divisible by 9 because the sum of the digits of 123456789 is divisible by 9.
Number 25200 is divisible by 9 because the sum of the digits of 25200 is divisible by 9.

8) Divisibility by 5: A number 'N' is divisible by 5, if the number 'N' ends with a 0 or a 5.
Example: 240, 3240, 12345, 232425
Number 3240 is divisible by 5 because unit's place of 3240 is 0.
Number 232425 is divisible by 5 because unit's place of 232425 is 5.

9) Divisibility by 25: A number 'N' is divisible by 25, if the last two digits of the number 'N' are either 00 or are divisible 25 i.e. (00/25/50/75).
Example: 97425, 3275, 123450, 232400
Number 97425 is divisible by 25 because last two digits of 97425 are 25.
Number 3275 is divisible by 25 because last two digits of 3275 are 75.
Number 123450 is divisible by 25 because last two digits of 123450 are 50.
Number 232400 is divisible by 25 because last two digits of 232400 are 00.








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