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There are lots and lots of numbers three-digit numbers that are common multiples of 4 and 6. The first that comes to mind is 600. The lowest such number is 108. The highest is 996.
Every number is divisible by any non-zero number. 527 is not evenly divisible by 3.
Every number is divisible by any non-zero number. However, 1023 is not evenly divisible by 2.
There is no number, no matter the number of digits, that is only divisible by 2.
It's very easy to test a number to see if it is divisible by 4 or by 9. If it passes both tests, then it is divisible by 4x9=36.To test for divisibility by 9, add the digits of the number. If the sum is divisible by 9, then the number is divisible by 9.To test for divisibility by 4, look at the last two digits. If they are a multiple of 4, then the number is divisible by 4.