Find if a Number is Divisible by 15


Given here is the tutorial explaining the divisibility rule for 15. That is, the set of rules to be followed to determine if a number is divisible by 15 (without reminders) is explained here. The rule is illustrated with clear examples for easier understanding.

Divisibility Rule for 15

Rule:

If a number is divisible by 3 and 5, then it is also divisible by 15.

Steps to be Followed:

If the last digit of a number is either '0' or '5', then it is divisible by 5. The number is divisible by 3 if the sum of all the digits in the given number is divisible by '3'. If the given number is satisfied for both the conditions, then the original number is divisible by 15.

Example

Find if the number 375 is divisible by 15.

Solution :

Applying the divisibility rule for 15,

Step 1:

Check if the number is divisible by 5.
Last digit of the number is 5 and hence it is divisible by 5

Step 2:

Check if the number is divisible by 3.
Adding all the digits (3 + 7+ 5) gives 15 and hence it is divisible by 3. (i.e) 15 / 3 = 5

Step 3:

Since the number 375 is divisible by both 5 and 3, it is also divisible by 15.


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