Answer:

A.The basic rule for divisibility by 4 is that if the number formed by the last two digits in a number is divisible by 4, the original number is divisible by 4; this is because 100 is divisible by 4 and so adding hundreds, thousands, etc. is simply adding another number that is divisible by 4.

B.If the hundreds digit is even, the number formed by the last two digits must be divisible by 8. 624: 24. If the hundreds digit is odd, the number obtained by the last two digits plus 4 must be divisible by 8.

C.If a number is divisible by both 3 and 4, then it is divisible by 12.

D.The divisibility rule of 11 is a simple mental calculation that checks if the number 11 completely divides another number. The divisibility by 11 rule states that if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

Step-by-step explanation:

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