Vedic / Quicker / Shortcut Math ⇒ Topic : Divisibility of a number by 9

Arjun
 
All digits sum of a number if divisible by 9 then the number is divisible by 9. Example: 9981: (9+9+8+1) = 27 that is divisible by 9 so the number 9981/9 = 1109. Example: 89874: (8+9+8+7+4) = 36 that is divisible by 9 so the number 89874/9 = 9986. Example: 9522: (9+5+2+2) = 18 that is divisible by 9 so the number 9522/9 = 1058. Example: 499869: (4+ 9+ 9+ 8+ 6+ 9) = 45 that is divisible by 9 so the number 499869/9 = 55541. Example: 77896593: (7+ 7+ 8+ 9+ 6+ 5+ 9+ 3) = 54 that is divisible by 9 so the number 77896593/9 = 8655177. Example: 778965939: (7+ 7+ 8+ 9+ 6+ 5+ 9+ 3+ 9) = 63 that is divisible by 9 so the number 778965939/9 = 1086551771. Example: 999988875: (9+ 9+ 9+ 9+ 8+ 8+ 8+ 7+ 5) = 72 that is divisible by 9 so the number 999988875/9 = 111109875. Example: 33778899999: (3+ 3+ 7+ 7+ 8+ 8+ 9+ 9+ 9+ 9) = 81 that is divisible by 9 so the number 33778899999/9 = 3753211111. Example: 99999888876: (9+5+2+2) = 90 that is divisible by 9 so the number 99999888876/9 = 11111098764. Example: 19873895896989: (1+ 9+ 8+ 7+ 3+ 8+ 9+ 5+ 8+ 9+ 6+ 9+ 8+ 9) =99 that is divisible by 9 so the number 19873895896989/9 = 2208210655221. Note: So Before going to divisible by 9 any number, first check the condition of All digit sum is divisible by 9 .Than numbers is divisible by 9.  
 
Pranav
 
Rule: lf the sum of all the digits of a number is divisible by 9, the number is also divisible by 9.  
 
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