The question we are solving here is: If we divide 260 by 6, will we get a whole number with no remainder? In other words, is 260 divisible by 6?
For 260 to be divisible by 6, both of the following two criteria must be met: First, 260 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 260, you see that 260 is an even number, which means that the first criteria is met.
The sum of the digits in 260 is 8, which is not divisible by 3. Therefore, the second criteria is not met.
Thus, 260 is not divisible by 6 and the answer to the question "Is 260 divisible by 6?" is
NO
You may also be interested to know that if you divide 260 by 6, you get 43.33.
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