Is 9564 divisible by 6?

The question we are solving here is: If we divide 9564 by 6, will we get a whole number with no remainder? In other words, is 9564 divisible by 6?

For 9564 to be divisible by 6, both of the following two criteria must be met: First, 9564 has to be an even number and second, the sum of its digits must be divisible by 3.

Looking at 9564, you see that 9564 is an even number, which means that the first criteria is met.

The sum of the digits in 9564 is 24, which is divisible by 3. Therefore, the second criteria is met.

Thus, 9564 is divisible by 6 and the answer to the question "Is 9564 divisible by 6?" is

YES

You may also be interested to know that if you divide 9564 by 6, you get 1594.

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