A herbal number is divisible through 6 if and also only if the is divisible by both 2 and by 3.

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To identify if a natural number is divisible by 6 requires one to recognize the "divisibility by 2 rule" and also the "divisibility by 3 rule".


The natural number 918 ends in an even number (8). Together a result, 918 is divisible by 2 <918 ÷ 2 = 459 r 0>.

The amount of the digits of the number 918 is 18 (9 + 1 + 8 = 18). Keep in mind that the amount of the number of the number 18 is 9 (1 + 8 = 9). Because 18 and also 9 room divisible by 3, 918 is divisible by 3 <918 ÷ 3 = 306 r 0>.

Since 918 is divisible by both 2 and 3, 918 is divisible by 6.


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The herbal number 916 end in an also number (6). Together a result, 916 is divisible through 2 <916 ÷ 2 = 458 r 0>.

The amount of the number of the number 916 is 16 (9 + 1 + 6 = 16). Note that the amount of the digits of the number 16 is 7 (1 + 6 = 7). Since neither 16 no one 7 are divisible by 3, 916 is no divisible by 3 <916 ÷ 3 = 305 r 1>.

Although 916 is divisible through 2, the is no divisible by 3. Since 916 is not divisible through BOTH 2 and 3, that is no divisible by 6.


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The organic number 915 ends in an odd number (5). Together a result, 915 is not divisible by 2 <915 ÷ 2 = 457 r 1>.

The amount of the digits of the number 915 is 15 (9 + 1 + 5 = 15). Keep in mind that the sum of the number of the number 15 is 6 (1 + 5 = 6). Due to the fact that 15 and also 6 space divisible by 3, 915 is divisible by 3 <915 ÷ 3 = 305 r 0>.

Although 915 is divisible through 3, that is no divisible by 2. Since 916 is no divisible by BOTH 2 and 3, it is not divisible by 6.


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The natural number 913 end in one odd number (5). Together a result, 913 is no divisible through 2 <913 ÷ 2 = 456 r 1>.

The sum of the digits of the number 913 is 13 (9 + 1 + 3 = 13). Note that the amount of the digits of the number 13 is 4 (1 + 3 = 4). Due to the fact that neither 13 nor 4 space divisible by 3, 913 is not divisible by 3 <913 ÷ 3 = 304 r 1>.

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Since 913 is no divisible by either 2 or 3, the is not divisible by 6.


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NOTE: 7 + 1 + 6 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 0 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 + 0 + 4 = 108

NOTE: 1 + 0 + 8 = 9


NOTE: 7 + 1 + 6 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 0 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 + 0 + 7 = 111

NOTE: 1 + 1 + 1 = 3


NOTE: 7 + 1 + 7 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 0 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 + 0 + 8 = 113

NOTE: 1 + 1 + 3 = 5


Example Eight

Demonstration
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number (dividend): divisor: