
Divisibility tricks
Divisibility by 1 or 0 – Every Number is Divisible.
Divisibility by 2 – When the last digit is divisible by 2. Example: 0, 2, 4, 6, 8, 10, 12, 14, etc.
Divisibility by 3 – When the sum of numbers in the dividend is divisible by 3. Example: 3, 6, 9, 12, 15, 18, 21, etc.
Divisibility by 4 – When the last two digits of any dividend are divisible by 4. NOTE: Numbers having 00 as their last digits are also divisible by 4. Example: 4, 8, 12, 16, 780, 70744, etc.
Divisibility by 5 – When the last digit is either 0 or 5. Example: 25, 35, 45, 95, 105, 200, etc.
Divisibility by 6 – When the number is divisible by both 2 and 3. Example: 12, 18, 60, etc.
Divisibility by 7 – When the last digit is subtracted twice from the remaining digits and gives the multiple of 7. (Pictorial representation below this table.) Example: 77, 42, 49, 70, etc.
Divisibility by 8 – When the last three digits are 000 OR are divisible by 8. Example: 2000, 880, 805256, etc.
Divisibility by 9 – When the sum of all digits is divisible by 9. Example: 171, 99, 18, etc.
Divisibility by 10 – When the last digit is 0. Example: 12120, 110, 520, 440, etc.
Divisibility by 11 – When the difference of the sums of the alternative digits is divisible by 11, the number is divisible by 11. Example: 1122, 814, 592845, etc.
Divisibility by 12 – When a number is both divisible by 3 and 4.
Divisibility by 13 – Multiply 4 to the last digit and add this new number to the remaining given dividend. Continue the process till a twodigit number is found. If the twodigit number is divisible by 13, the dividend is divisible.
Divisibility by 17 – Multiply 5 to the last digit and subtract this number from the remaining given dividend. If the result is divisible by 17, the given dividend is as well.
Divisibility by 19 – Multiply 2 to the last digit and add this number to the remaining given dividend. If the result is divisible by 19, the given dividend is also divisible by 19.
Sorry, there were no replies found.