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[MATHEMATICS] Divisibility Rules

August 25, 2020

Here are some cool math tricks you can use when dividing numbers:

  1. A number is divisible by 2 if its last digit is an even number.
    For example: 2, 34, 546, 978.

  2. A number is divisible by 3 if the sum of its digits is a multiple of 3.

    For example: 33; 3 + 3 = 6, 6 is a multiple of 3.

  3. A number is divisible by 4 if the last two digits are divisible by 4, or if the number ends with 00.
    For example: 200/4 = 50, 300/4 = 75

  4. A number is divisible by 5 if its last digit is 0 or 5.
    For example: 15, 90, 120, 575

  5. A number is divisible by 6 if it is divisible by 2 AND 3.
    For example: 36. 36/2 = 18, 36/3 = 12

  6. A number is divisible by 7 if the difference of twice the last digit subtracted from the remaining digits is divisible by 7.
    For example: 161. 2 x 1 = 2. 16 - 2 = 14. 14/7 = 2

  7. A number is divisible by 8 if its last three digits are divisible by 8 or ends with 000.
    For example: 3000/8 = 375, 7000/8 = 875.

  8. A number is divisible by 9 if the sum of the digits is divisible by 9.

    For example: 81. 8 + 1 = 9. 81/9 = 9

  9. A number is divisible by 10 if its last digit is 0.

    For example: 1100, 630, 132,780

  10. A number is divisible by 11 if the sum of the digits in the odd places subtracted by the sum of digits in even positions is 0 or a multiple of 11.

    For example: 1,353. (1 + 5) - (3 + 3) = 6 - 6 = 0. 1,353/11 = 123

  11. A number is divisible by 12 if it is divisible by 3 AND 4.

    For example: 144. 144/3 = 48 and 144/4 = 36

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