High numbers divisible by 8 are those where the number formed by their last three digits is divisible by 8.
According to the provided reference, which discusses the divisibility rule for 8, we can determine if a number, high or low, is divisible by 8 by examining its last three digits.
Divisibility Rule for 8
- The key: A number is divisible by 8 if the number formed by its last three digits is divisible by 8.
- Example:
- Consider the number 123,456.
- The last three digits are 456.
- Since 456 is divisible by 8 (456 / 8 = 57), then the whole number, 123,456 is also divisible by 8.
- Another Example: If a number ends in 24, like 124, 224, 1024, the number is divisible by 8 because 24 is divisible by 8. This is explained in the reference which explicitly states that "twenty four is divisible by 8 therefore our original number is divisible by 8".
How to Use the Rule
To determine if a high number is divisible by 8:
- Focus on the last three digits. Ignore the digits before them.
- Check if those three digits form a number divisible by 8. You can do this through simple division or by using a calculator.
- If the number formed by the last three digits is divisible by 8, then the entire original number is also divisible by 8.
Examples of High Numbers Divisible by 8
Here are a few examples of high numbers divisible by 8:
- 1,234,568: 568 ÷ 8 = 71. Therefore, 1,234,568 is divisible by 8.
- 98,765,432: 432 ÷ 8 = 54. Therefore, 98,765,432 is divisible by 8.
- 100,000,000: Since the last three digits are 000, the number is divisible by 8.
Summary
In essence, whether a number is high or low, if its last three digits form a number divisible by 8, then the entire number is divisible by 8. This rule makes it easy to quickly identify large numbers divisible by 8 without performing long division.
