11/9/17

number 33

Code: PU  
P=100 (k=67=1 (mod 33) )

Formulae:
Number N is divisible by 33 iff sum of digits is divisible by 33

Example:
Number N = 98 76 54 32 04 = 32 10 21 32 4 =
32+10+21+32+4 = 99 = 0 (mod 33)
is divisible by 33.



Code: SF  10*10-3*33=1
10(10b+a) = b+10a (mod 33)
Formulae:
Number N is divisible by 33 iff b+10a is divisible by 33

Example:
Number N = 68905
6890+10*5 = 6940
 694+10*0 =694
  69+10*4 = 109
  10+10*9 = 100 = 3*33+1
isn't divisible by 33



Code: SF-  23*10-7*33=-1
23(10b+a) = -b+23a = -(b+10a) (mod 33)
It is the same as above.