For a number to be divisible by 4, which of the following must be true?

For a number to be divisible by 4, it is required that the last two digits of the number form a number that is divisible by 4. This condition specifically accounts for how numbers operate in place value; since the divisibility rules reflect properties of numbers under division by a specific divisor, analyzing the last digits is a practical method.

When examining a number's last two digits, you are effectively evaluating its value in the context of the 100s place and lower, which is what determines its divisibility by 4. For example, the number 124 is divisible by 4 because the last two digits, 24, divide evenly by 4 (24 ÷ 4 = 6). This rule is applicable regardless of the digits that precede the last two.

Other statements regarding divisibility by 4 do not hold true universally. While even numbers (like those mentioned) encompass a broad range of numbers, they can be dismissive of many even numbers still not meeting the divisibility requirement (e.g. 6). Similarly, stating that the last digit must be 4 is incorrect, as numbers like 12 and 36 are clearly divisible by 4 while having different last digits. Finally, the first digit's property