If a number's last three digits form a number that is divisible by 8, what can be determined about the number itself?

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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!

When determining the divisibility of a number by 8, the key factor is its last three digits. A number is divisible by 8 if the number formed by its last three digits is divisible by 8. Therefore, if the last three digits of a number form a number that can be divided evenly by 8, it confirms that the whole number itself is also divisible by 8.

This relationship stems from how the divisibility rules work; for a number to be divisible by 8, the portion of that number directly influencing divisibility (in this case, the last three digits) must meet the criteria set for 8. Thus, the conclusion is that if the last three digits are divisible by 8, the entire number is indeed divisible by 8.

The other options—divisibility by 4, 6, and 5—do not directly follow from the condition provided and cannot be inferred solely based on the requirement regarding divisibility by 8.

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