Divisibility Rule of 5
A divisibility rule is a technique that determines if a number can be completely divided by another. A number is said to be completely divisible by 5 if the remainder is zero and the quotient is a whole number. The divisibility rule of 5 is quite simple because we just need to check the last digit of the given number which should be either 5 or 0. If it satisfies this condition, then the number is considered to be divisible by 5.
What is the Divisibility Rule of 5?
The divisibility rule of 5 states that if the digit on the units place, that is, the last digit of a given number is 5 or 0, then such a number is divisible by 5. For example, in 39865, the last digit is 5, hence, the number is completely divisible by 5. Similarly, in 3780, the last digit is 0, therefore, 3780 is considered to be divisible by 5.
Divisibility Rule of 5 for Large Numbers
Divisibility rules can easily check if a number can be exactly divided by another. It is specifically used for larger numbers, where the result can be known without performing the process of division. According to the divisibility rule of 5, numbers that are divisible by 5 should end with either 5 or 0. For example, in 347835, the digit on the units place is 5, hence, we know that the given number 347835 is divisible by 5. Let us take another example of 894720. In this case, the digit on the units place is 0, hence, the number is divisible by 5.
Divisibility Rule of 5 and 10
As we discussed that the divisibility by 5 can easily be checked by observing the last digit of the given number which should either be 5 or 0. Similarly, the divisibility rule of 10 states that if the digit on the units place of a given number is 0, then the number is considered to be divisible by 10. For example, let us check if the number 73540 is divisible by 5 and 10. The last digit in the given number is 0, hence, 73540 is divisible by 5. The same condition is satisfied for the divisibility rule of 10 since the last digit is zero. Therefore, 73540 is divisible by 5 as well as 10. Let us take another example of the number 10105. In this case, the last digit is 5, therefore, it is divisible by 5, but not divisible by 10 since the last digit is not zero.
Divisibility Test of 5 and 6
While the divisibility test of 5 is simple in which the digit on the units place is considered, the divisibility test of 6 is different. A number is divisible by 6 if it is a multiple of both 2 and 3. In other words, if the last digit of a number is even and the sum of all its digits is a multiple of 3, then the number is considered to be divisible by 6. Let us check if 61704 is divisible by 5 as well as 6. Since the last digit is neither 5 nor 0, the number is not divisible by 5. Now, let us check its divisibility by 6 with the help of the following steps:
 Step 1: Check if the last digit of the given number, 61704, is either 0 or a multiple of 2. In this case, it is 4, hence, it satisfies the condition of being a multiple of 2.
 Step 2: After this, calculate the sum of all digits of the given number. Here, 6 + 1 + 7 + 0 + 4 = 18. So, it satisfies the condition of being a multiple of 3, hence 18 is divisible by 3.
 Step 3: Since the given number 61704 is divisible by 2 and 3 both, it passes the divisibility test of 6. In other words, 61704 is divisible by 6.
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Divisibility Rule of 5 Examples

Example 1: Using the divisibility rule of 5, check whether 645 is divisible by 5 or not.
Solution:
The divisibility rule of 5 states that the last digit of the given number should be either 0 or 5. In 645, the last digit is 5. Hence, 645 is divisible by 5.

Example 2: Observe the following statements and write true or false using the divisibility rule of 5.
a) 503 is divisible by 5.
b) 16070 is divisible by 5.
c) 43875 is not divisible by 5.
Solution:
As per the divisibility test of 5, the last digit of the given numbers should either be 0 or 5 to consider them to be divisible by 5.
a.) False. In 503, the last digit is 3. Therefore, 503 is not divisible by 5.
b.) True. In 16070, the last digit is 0. Therefore, 16070 is divisible by 5.
c.) False. In 43875, the last digit is 5. Therefore, 43875 is divisible by 5.

Example 3: Check the divisibility of the following numbers by 5.
a) 607
b) 6320
c) 21003
Solution:
Using the divisibility rule of 5, let us check if the last digit of the given number is 0 or 5.
a.) In 607, the last digit is neither 5 nor 0. Therefore, 607 is not divisible by 5.
b.) In 6320, the last digit is 0. Therefore, 6320 is divisible by 5.
c.) In 21003, the last digit is neither 5 nor 0. Therefore, 21003 is not divisible by 5.
FAQs on Divisibility Rule of 5
What is the Divisibility Rule of 5?
According to the divisibility rule for 5, if the last digit of the given number is either 0 or 5, then the number is divisible by 5. For example, in 6735, the last digit is 5, therefore, the number 6735 is completely divisible by 5.
Using the Divisibility Rule of 5, Check if 660 is Divisible by 5?
The divisibility rule of 5 says that the last digit of the given number should be zero or 5. In this case, we can see that the last digit of 660 is 0. Therefore, 660 is divisible by 5.
What is the Divisibility Rule of 5 and 6?
The divisibility rule of 5 states that if the last digit of the given number is either 0 or 5, then the given number is divisible by 5. For example, in 615, the last digit is 5, therefore, 615 is said to be divisible by 5. The divisibility rule of 6 says that a number is divisible by 6 if it is divisible by 2 and 3 both. For example, in 312, the last digit is an even number which is divisible by 2, and the sum of the digits is 3 + 1 + 2 = 6, which is divisible by 3. Hence, it can be concluded that 312 is completely divisible by 6.
Using the Divisibility Test of 5, Check if 250 is Divisible by 5?
Using the divisibility test of 5, we can see that the last digit of 250 is 0. This means that 250 is divisible by 5.
How do you know if a Big Number is Divisible by 5?
It is easy to check the divisibility for smaller numbers. However, in order to check the divisibility for large numbers, we need to apply the given set of rules for the divisibility of a number. If the last digit of a given number is either 0 or 5, then the number is considered to be divisible by 5. For example, to check if 61,215 is divisible by 5, we check the last digit of the given number. Here, it is 5, therefore, we can say that 61,215 is divisible by 5.
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