The question we are solving here is: If we divide 267 by 6, will we get a whole number with no remainder? In other words, is 267 divisible by 6?
For 267 to be divisible by 6, both of the following two criteria must be met: First, 267 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 267, you see that 267 is an odd number, which means that the first criteria is not met.
The sum of the digits in 267 is 15, which is divisible by 3. Therefore, the second criteria is met.
Thus, 267 is not divisible by 6 and the answer to the question "Is 267 divisible by 6?" is
NO
You may also be interested to know that if you divide 267 by 6, you get 44.50.
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