Is 6174 divisible by 6?

The question we are solving here is: If we divide 6174 by 6, will we get a whole number with no remainder? In other words, is 6174 divisible by 6?

For 6174 to be divisible by 6, both of the following two criteria must be met: First, 6174 has to be an even number and second, the sum of its digits must be divisible by 3.

Looking at 6174, you see that 6174 is an even number, which means that the first criteria is met.

The sum of the digits in 6174 is 18, which is divisible by 3. Therefore, the second criteria is met.

Thus, 6174 is divisible by 6 and the answer to the question "Is 6174 divisible by 6?" is

YES

You may also be interested to know that if you divide 6174 by 6, you get 1029.

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