
The question we are solving here is: If we divide 1674 by 6, will we get a whole number with no remainder? In other words, is 1674 divisible by 6?
For 1674 to be divisible by 6, both of the following two criteria must be met: First, 1674 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 1674, you see that 1674 is an even number, which means that the first criteria is met.
The sum of the digits in 1674 is 18, which is divisible by 3. Therefore, the second criteria is met.
Thus, 1674 is divisible by 6 and the answer to the question "Is 1674 divisible by 6?" is
YES
You may also be interested to know that if you divide 1674 by 6, you get 279.
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