Prove that an integer is divisible by 4 if and only if the number formed by its tens and units digits is divisible by 4.

Kindly refer to below section.

Step-by-step explanation:

Any number can be represented as:

For example a number 78332 can be represented as:

Let any number be and the number formed by its tens and units digits is divisible by 4.

i.e. is divisible by 4.

Now, the number can be written as:

Therefore, is also divisible by 4.

Hence, proved that an integer is divisible by 4 if and only if the number formed by its tens and units digits is divisible by 4.

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step-by-step explanation: