
The question we are solving here is: If we divide 3827 by 6, will we get a whole number with no remainder? In other words, is 3827 divisible by 6?
For 3827 to be divisible by 6, both of the following two criteria must be met: First, 3827 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 3827, you see that 3827 is an odd number, which means that the first criteria is not met.
The sum of the digits in 3827 is 20, which is not divisible by 3. Therefore, the second criteria is not met.
Thus, 3827 is not divisible by 6 and the answer to the question "Is 3827 divisible by 6?" is
NO
You may also be interested to know that if you divide 3827 by 6, you get 637.83.
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