Vedic / Quicker / Shortcut Math ⇒ Topic : Divisibility of a number by 3

Arjun
 
Divisibility of a number by 3 Example: 861 / 3 = 287. (8+6+1) = 15 and 15 is divisible by 3, So the 861 is divisible by 3. Example: 22104 / 3 = 7368. (2+2+1+0+4) = 9. 9 / 3 = 3, So 22104 divisible by 3. Example: 99954 / 3 = 33318. (9+9+9+5+4) = 36. 36 / 3 = 12, So 99954 divisible by 3 Example: 87921 / 3 = 29307. (8+7+9+2+1) = 27. 27 / 3 = 9, So 87921 divisible by 3 Example: 69321 / 3 = 23107. (6+9+3+2+1) = 21. 21 / 3 = 7, So 69321 divisible by 3 Example: 1359 / 3 = 453. (1+3+5+9) = 18. 18 / 3 = 6, So 1359 divisible by 3 Note: So Before going to divisible by 3 any number, first check the addition of all numbers is divisible by 3.  
 
Pranav
 
Rule: If the sum of the digits of a number is divisible by 3, the number is also divisible by 3.  
 
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