Find if a Number is Divisible by 24

Here is the tutorial which explains you the divisibility rule for 24. That is the set of rules to be followed to determine if a number is divisible by 24 (without reminders). The rule is illustrated with clear examples for easier understanding.

Divisibility Rule for 24

Steps to be Followed:

Check if the number is divisible by 3 and 8. If it is divisible by both the numbers, then the original number is also divisible by 24.

Example 1:

Find if the number 210103512 is divisible by 24.

Solution :

Applying the divisibility rule for 24,

Step 1:

Add all the digits to check whether the resultant value is divisible by 3 (i.e) 2 + 1 + 0 + 1 + 0 + 3 + 5 + 1 + 2 = 15 15 is divisible by 3, therefore 210103512 is also divisible by 3

Step 2:

Consider the last 3 digits to check whether it is divisible by 8 The last three digit of 210103512 is 512 512 is divisible by 8 (i.e) 64 x 8 = 512 Hence the number 210103512 is also divisible by 8

Step 3:

Since the number 210103512 is divisible by both 3 and 8, it is also divisible by 24

Example 2:

Let us consider the number 674665413 and find if it is divisible by 24.

Solution :
Step 1:

Add all the digits to check whether the resultant value is divisible by 3 (i.e) 6 + 7 + 4 + 6 + 6 + 5 + 4 + 1 + 3 = 42 42 is divisible by 3, therefore the original number is also divisible by 3

Step 2:

Consider the last 3 digits to check whether it is divisible by 8 The last three digit of the number is 413. 413 is not divisible by 8 Hence, the number 674665413 is not divisible by 8

Step 3:

Since the number 674665413 is divisible only by 3 and not by 8, it is not divisible by 24.


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