Is 1005 divisible by 6?

The question we are solving here is: If we divide 1005 by 6, will we get a whole number with no remainder? In other words, is 1005 divisible by 6?

For 1005 to be divisible by 6, both of the following two criteria must be met: First, 1005 has to be an even number and second, the sum of its digits must be divisible by 3.

Looking at 1005, you see that 1005 is an odd number, which means that the first criteria is not met.

The sum of the digits in 1005 is 6, which is divisible by 3. Therefore, the second criteria is met.

Thus, 1005 is not divisible by 6 and the answer to the question "Is 1005 divisible by 6?" is

NO

You may also be interested to know that if you divide 1005 by 6, you get 167.50.

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