Divisibility Rules

Divisibility Rules of various numbers

Divisibility rules of numbers are some shortcuts to find whether the given integer is divisible by given number without performing the divison. These divisibility rules are very useful when working with large numbers.

Given below are divisibility rules of some numbers:

  • Divisibility by 2: A number is divisible by 2 if it 0, 2, 4, 6, or 8 is there in its one’s place.
  • Divisibility by 3: A number is said to be divisible by 3 if the sum of all of its digits is divisible by 3.
  • Divisibility by 4: A number is divisible by 4 if the last two digits form a number that is divisible by 4.
  • Divisibility by 5: A number is divisible by 5 if it has 0 or 5 in its one’s place
  • Divisibility by 6: A number is divisible by 6 if it is divisible by both 2 and 3.
  • Divisibility by 8: A number is divisible by 8 if the last three digits form a number that is divisible by 8.
  • Divisibility by 9: A number is divisible by 9 if the sum of its digits is divisible by 9.
  • Divisibility by 10: A number is divisible by 10 if it has 0 in its one’s place.