Shortcuts for number divisibility check

Shortcuts for number divisibility check

  1. A number is divisible by 2 if its unit’s digit is any of 0, 2, 4, 6, 8.
  2. A number is divisible by 3 if the sum of its digits is divisible by 3.
  3. A number is divisible by 4 if the number formed by the last two digits is divisible by 4.
  4. A number is divisible by 5 if its unit’s digit is either 0 or 5.
  5. A number is divisible by 6 if it is divisible by both 2 and 3.
  6. A number is divisible by 8 if the number formed by the last three digits of the given number is divisible by 8.
  7. A number is divisible by 9 if the sum of its digits is divisible by 9.
  8. A number is divisible by 10 if it ends with 0.
  9. A number is divisible by 11 if the difference of the sum of its digits at odd places and the sum of its digits at even places is either 0 or a number divisible by 11.
  10. A number is divisible by 12 if it is divisible by both 4 and 3.
  11. A number is divisible by 14 if it is divisible by 2 as well as 7.
  12. Two numbers are said to be co-prime if their H.C.F. is 1. To find if a number, say y is divisible by x, find m and n such that m * n = x and m and n are co-prime numbers. If y is divisible by both m and n then it is divisible by x.

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