How do I find if a number is a multiple of 8?

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How do I find if a number is a multiple of 8?

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Answer 1 · 2016-04-04T14:30:34

Please see the process and reason below.

Explanation:

Just check the last three digits of the number.

If they are divisible by $8$ $8$ , the entire number is divisible by $8$ $8$ .

For example, last three digits of $53927592$ $53927592$ are $592$ $592$ and they are divisible by $8$ $8$ as $592 = 74 \times 8$ $592=74xx8$ .

Hence, $53927592$ $53927592$ is divisible by $8$ $8$ and $53927592 = 6740949 \times 8$ $53927592=6740949xx8$ .

The reason is that as the number can be expressed as
$Y Y Y Y Y Z Z Z = Y Y Y Y Y \times 1000 + Z Z Z$ $YYYYYZ Z Z=YYYYYxx1000+Z Z Z$

= $Y Y Y Y Y \times 125 \times 8 + Z Z Z$ $YYYYYxx125xx8+Z Z Z$ .

As $Y Y Y Y Y \times 125 \times 8$ $YYYYYxx125xx8$ is divisible by $8$ $8$ , if $Z Z Z$ $Z Z Z$ is divisible by $8$ $8$ , $Y Y Y Y Y Z Z Z$ $YYYYYZ Z Z$ is divisible by $8$ $8$ .

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How do I find if a number is a multiple of 8?

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