The question we are solving here is: If we divide 667 by 6, will we get a whole number with no remainder? In other words, is 667 divisible by 6?
For 667 to be divisible by 6, both of the following two criteria must be met: First, 667 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 667, you see that 667 is an odd number, which means that the first criteria is not met.
The sum of the digits in 667 is 19, which is not divisible by 3. Therefore, the second criteria is not met.
Thus, 667 is not divisible by 6 and the answer to the question "Is 667 divisible by 6?" is
NO
You may also be interested to know that if you divide 667 by 6, you get 111.17.
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