If it is divisible by 2 and 3, it is divisible by 6.
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if the number is divisible by 2 and 3 then it is divisible by 6 =D
If a number is divisible by 2 (an even number) and 3 (the sum of the digits is divisible by 3) then the number is divisible by 6.
Numbers are divisible by 6 if they are even and also divisible by 3. examples are 6,12,18,24,30,36,60,54,...... examples as algebric expressions 18xy+12z+6y-a,where a is divisible by 6 i.e 6,12,18...
If the last digit (6) is divisible by 2 - that is, it is 0, 2, 4, 6 or 8 then the number is divisible by 2. Note that this rule cannot be used to check for divisibility by other numbers.
To determine if 2106 is divisible by 6, we need to check if 2106 is a multiple of 6. To do this, we can use the divisibility rule for 6, which states that a number is divisible by 6 if it is divisible by both 2 and 3. First, we check if 2106 is even (divisible by 2), which it is because the last digit is even. Next, we calculate the sum of the digits of 2106 (2+1+0+6=9) and check if this sum is divisible by 3. Since 9 is divisible by 3, we can conclude that 2106 is divisible by 6.