Every number is not completely divisible by every other number such number leaves a remainder other than zero. A number is said to be divisible by 8 if the remainder is 0 and a quotient is a whole number. If it is completely divisible then we call it Exact Divisibility. The multiples of 8 will be the even numbers. There are certain rules to check the divisibility test by 8 for larger and smaller numbers.
The test of divisibility is used for simple and fast calculations in divisions. This divisibility rule helps you to check if the number is completely divisible by another number without using the division method.
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Divisible by 8 – Definition
If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.
Example:
Check whether 54344 is divisible by 8.
Solution:
Consider the last three digits i.e. 344. As 344 is divisible by 8, the original number 54344 is also divisible by 8.
Divisibility Test of 8 | How to Check if a Number is Divisible by 8?
Testing the divisibility by 8 is simple since we just need to consider the last three digits of the given number. For example, let us consider the number 2416. Since the last three digits of the given number are divisible by 8.
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Divisibility Rule of 8 Examples
Example 1.
Find whether the number 3792 is divisible by 8.
Solution:
In this number last 3 digits are divisible by 8 then the total number is divisible by 8.
In 3792 the last 3 digits are 792 where 792 is divisible by 8.
Therefore the number 3792 is divisible by 8.
Example 2.
Find whether the number 80 is divisible by 8.
Solution:
80÷ 8 = 10
8 + 0 = 8
8 is divisible by 8.
Therefore the number 80 is divisible by 8.
Example 3.
Find whether the number 24 is divisible by 8
Solution:
24 ÷ 8 = 3
Therefore the number 24 is divisible by 8.
Example 4.
Find whether the number 8824 is divisible by 8.
Solution:
In this number last 3 digits are divisible by 8 then the total number is divisible by 8.
In 8824 the last 3 digits are 824 where 824 is divisible by 8.
Therefore 8824 is divisible by 8.
Example 5.
Find whether the number 3880 is divisible by 8.
Solution:
In this number last 3 digits are divisible by 8 then the total number is divisible by 8.
In 3880 the last 3 digits are 880 where 880 is divisible by 8.
Therefore 3880 is divisible by 8.
Also, refer to the articles related to divisibility rules:
| Divisible by 2 | Divisible by 3 | Divisible by 4 |
| Divisible by 5 | Divisible by 6 | Divisible by 7 |
| Divisible by 9 | Divisible by 10 |