Divisibility Rule of 8: Rule, Examples

Divisibility Rule of 8

A number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.

If the last three digits can be divided by 8 without a remainder, then the whole number is divisible by 8.


Steps to Check Divisibility by 8

  1. Look at the last three digits of the number.

  2. Check if that three-digit number is divisible by 8.

  3. If it is, then the whole number is divisible by 8.


Examples

Example 1: Is 7,192 divisible by 8?

  1. Last three digits: 192

  2. Check divisibility: 192 ÷ 8 = 24 (No remainder)

7192 is divisible by 8.


Example 2: Is 3,245 divisible by 8?

  1. Last three digits: 245

  2. Check divisibility: 245 ÷ 8 = 30.625 (Not a whole number)

3245 is not divisible by 8.

Know the divisibility rule of 9 here.

Try It Yourself:

Are they divisible by 8?
1. 5648
2. 9216
3. 4321

FAQs

  1. What is the divisibility rule of 8 with example?

According to the divisibility by 8 rule, if the last three numbers are zero or divisible by 8, the whole number is divisible by 8. For example: if you consider numbers 9000 and 7432, both are divisible by eight as check the last three numbers.

  1. Is 77622160 divisible by 8?

77622160: Divisible by 2, 4, 5, 8, and 10. 7. Write two numbers whose product is 10000. The two numbers should not have 0 as the unit digit.

  1. What is the divisibility rule example?

Examples of Using Divisibility Rules

To determine if the number 1234 is divisible by 2, we look at the last digit of the number. Since the last digit is even, we know that 1234 is divisible by 2. To determine if the number 456 is divisible by 3, we add the digits of the number: 4 + 5 + 6 = 15.

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