Divisibility Rules
Remember The following Rules
A positive integer N is divisible by:-
• 2 if the last digit of N is 2, 4, 6, 8, or 0.
• 3 if the sum of digits of N is divisible by 3.
• 4 if the last 2 digits of N are divisible by 4.
• 5 if the last digit of N is either 0 or 5.
• 6 if N is divisible by both 2 and 3.
• 8 if the last 3 digits of N are divisible by 8.
• 9 if the sum of digits of N is divisible by 9.
• 10 if the last digit of N is 0.
• 11, The given number can only be completely divided by 11 if the difference of the sum of digits at odd position and sum of digits at even position in a number is 0 or 11.
• 12 if N is divisible by both 3 and 4.
e.g. 59371 than subtract 371-59 = 312
• If difference is completely divisible by 7 than the number is Divisible by 7.
• If difference is completely divisible by 11 than the number is Divisible by 11.
• If difference is completely divisible by 13 than the number is Divisible by 13.
