Is 406 divisible by 6?

The question we are solving here is: If we divide 406 by 6, will we get a whole number with no remainder? In other words, is 406 divisible by 6?

For 406 to be divisible by 6, both of the following two criteria must be met: First, 406 has to be an even number and second, the sum of its digits must be divisible by 3.

Looking at 406, you see that 406 is an even number, which means that the first criteria is met.

The sum of the digits in 406 is 10, which is not divisible by 3. Therefore, the second criteria is not met.

Thus, 406 is not divisible by 6 and the answer to the question "Is 406 divisible by 6?" is

NO

You may also be interested to know that if you divide 406 by 6, you get 67.67.

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