If the last two digits of a number form a number that is divisible by 4, what can be said about the original number?

Study for the NES Elementary Education Subtest 2 with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

The original number can be determined to be divisible by 4 based on the property of divisibility regarding the last two digits. When assessing whether a number is divisible by 4, the critical factor is indeed the last two digits of that number. If those last two digits form a number that is divisible by 4, then the entire original number is guaranteed to also be divisible by 4.

This is because the divisibility rule for 4 specifically states that a number is divisible by 4 if the number formed by its last two digits is divisible by 4, reflecting the way numbers are structured in our base-10 system. The multiples of 4 are greater components of any number, so if the base component (the last two digits) meets the criteria, the whole can also be considered divisible by that same factor.

Thus, confirming that the original number is divisible by 4 when its last two digits indicate so provides a clear understanding of numerical properties in mathematics.

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