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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 two-digit number is found. If the two-digit 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.
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