Is 7974 divisible by 6?

The question we are solving here is: If we divide 7974 by 6, will we get a whole number with no remainder? In other words, is 7974 divisible by 6?

For 7974 to be divisible by 6, both of the following two criteria must be met: First, 7974 has to be an even number and second, the sum of its digits must be divisible by 3.

Looking at 7974, you see that 7974 is an even number, which means that the first criteria is met.

The sum of the digits in 7974 is 27, which is divisible by 3. Therefore, the second criteria is met.

Thus, 7974 is divisible by 6 and the answer to the question "Is 7974 divisible by 6?" is

YES

You may also be interested to know that if you divide 7974 by 6, you get 1329.

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