Divisibility Rules

• A number is divisible by 2, when its unit digit is either Even or Zero.
• A number is divisible by 3, wehen the sum of its digits is divisible by 3.
• A number is divisible by 4, when the number formed by the two extreme right end digits is either divisible by 4 or both these digits are zeroes.
• A number is divisible by 5, when its unit digit is either zero or 5.
• A number is divisible by 6, when it is divisible bye 2 as well as 3.
• A number is divisible is by 7, if it passes the following Test...
• Take the last digit in a number.
• Double and subtract the last digit in your number from the rest of the digits.
• Repeat the process for larger numbers.
• Take an Example 357 (Double the 7 to get 14. Subtract 14 from 35 to get 21 which is divisible by 7 and we can now say that 357 is divisible by 7.
• A number is divisible by 8, when the number formed by its three extreme right end digits is divisible by 8 or when these last three digits are Zeros.
• A number is divisible by 9, when the sum of its digits is divisible by 9.
• A number is divisible by 10, when its unit digit is zero.
• A number is divisible by 11, when the difference between the sums of the alternate digits is either zero or divisible by 11.
• A number is divisible by 12, when it is divisible by 3 as well as 4.
• A number is divisible by 13, if sum of 4 times the digit in units place and the number in the remaining part is multiple of 13.
• If the difference of 5 times the digit in units place and the number in the remaining part is 0 or multiple of 17, then the number is divisible by 17.
• If the sum of double the digit in units place of a given number and number in the remaining part is multiple of 19, then the given number is divisible of 19.

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