Is 7164 divisible by 6?

The question we are solving here is: If we divide 7164 by 6, will we get a whole number with no remainder? In other words, is 7164 divisible by 6?

For 7164 to be divisible by 6, both of the following two criteria must be met: First, 7164 has to be an even number and second, the sum of its digits must be divisible by 3.

Looking at 7164, you see that 7164 is an even number, which means that the first criteria is met.

The sum of the digits in 7164 is 18, which is divisible by 3. Therefore, the second criteria is met.

Thus, 7164 is divisible by 6 and the answer to the question "Is 7164 divisible by 6?" is

YES

You may also be interested to know that if you divide 7164 by 6, you get 1194.

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