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If the last three digits of an integer form a number that leaves a remainder of 4 when divided by 8, what is the status of the entire integer's divisibility by 8?

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Question

If the last three digits of an integer form a number that leaves a remainder of 4 when divided by 8, what is the status of the entire integer's divisibility by 8?

Options

  • It is divisible by 8

  • It is not divisible by 8.

  • It is divisible by 2.

  • It is always divisible by 4.

MCQ
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Solution

It is not divisible by 8.

Explanation:

For the entire number to be divisible by 8, the number formed by the last three digits must be exactly divisible by 8, meaning the remainder must be 0.

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