The question we are solving here is: If we divide 414 by 6, will we get a whole number with no remainder? In other words, is 414 divisible by 6?
For 414 to be divisible by 6, both of the following two criteria must be met: First, 414 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 414, you see that 414 is an even number, which means that the first criteria is met.
The sum of the digits in 414 is 9, which is divisible by 3. Therefore, the second criteria is met.
Thus, 414 is divisible by 6 and the answer to the question "Is 414 divisible by 6?" is
YES
You may also be interested to know that if you divide 414 by 6, you get 69.
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