Graduate Management Admission Test (GMAT) Practice Test

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What is the rule for checking if a number is divisible by 4?

The number should end in an even digit
The number formed by the last two digits must be divisible by 4
The sum of the digits must be even
The greatest digit must be 4

The correct answer is: The number formed by the last two digits must be divisible by 4

For a number to be divisible by 4, the correct method involves looking specifically at the last two digits of the number. This is because a number is divisible by 4 if the number formed by its last two digits is divisible by 4. For example, in the number 536, the last two digits are 36. Since 36 can be divided by 4 evenly (36 ÷ 4 = 9), we can determine that 536 is divisible by 4. This two-digit rule works because of how numbers are structured; every four numbers (e.g., 00, 04, 08, etc.) repeat the divisibility pattern. Thus, even if the preceding digits are not divisible by 4, as long as those last two digits are, the entire number will be divisible by 4 as well. Other options do not accurately reflect the rule for divisibility by 4. Checking if the entire number ends in an even digit, whether the sum of the digits is even, or if the greatest digit is 4 does not guarantee divisibility by 4 in all cases.