The question we are solving here is: If we divide 975 by 6, will we get a whole number with no remainder? In other words, is 975 divisible by 6?
For 975 to be divisible by 6, both of the following two criteria must be met: First, 975 has to be an even number and second, the sum of its digits must be divisible by 3.
Looking at 975, you see that 975 is an odd number, which means that the first criteria is not met.
The sum of the digits in 975 is 21, which is divisible by 3. Therefore, the second criteria is met.
Thus, 975 is not divisible by 6 and the answer to the question "Is 975 divisible by 6?" is
NO
You may also be interested to know that if you divide 975 by 6, you get 162.50.
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