Divisibility rule of 5

Divisibility rule of 5

According to the divisibility rule of 5, a number is said to be divisible by 5 if its last digit is either 0 or 5. A number is totally divisible by 5 if there is no remainder and the quotient is an integer. Checking whether the last digit of a given number is either 5 or 0 to determine its divisibility by 5 is a simple process. If this criterion is met, then the number is considered divisible by 5.

What is the Divisibility Rule of 5?

The divisibility rule of 5 says that a number is divisible by 5 if the digit on the unit’s place, which is the last digit, is 5 or 0. For example, the last digit of the number 68665 is 5, so the whole number can be split into 5 parts. In the same way, 4590 is considered to be divisible by 5 because the last digit is 0.

Divisibility Rule of 5 for Large Numbers

Divisibility rules make it easy to find out if a number can be divided exactly by another number. It is used when you already know the answer to a problem with a large number and where the result can be known without performing the process of division. The “rule of 5” says that numbers that can be divided by 5 should end with either 5 or 0. For example, the digit in the units place of the number 347835 is 5, so we know that the number is divisible by 5. Let’s look at another use of the number 894720. In this case, the number is divisible by 5 because the digit in the units place is 0.

Divisibility Rule of 5 and 10

As we’ve talked about, it’s easy to see if a number is divisible by 5 by looking at its last digit, which should be either 5 or 0. In the same way, the divisibility rule of 10 says that a number is divisible by 10 if the digit in the unit’s place of the number is 0. For instance, let’s see if the number 73540 can be split into 5 and 10 parts. Since the number’s last digit is 0, it can be divided by 5. Since the last digit is 0, the same condition is met for the divisibility rule of 10. So, 73540 can be divided by both 5 and 10. Let’s think of another way the number 10105 can be used. In this case, the last digit is a 5, so it is divisible by 5, but not by 10, since the last digit is not a zero.

Divisibility Rule of 5 and 6

The test for whether a number can be divided by 5 is easy: just look at the number in the units place. The test for whether a number can be divided by 6 is different. If a number is a multiple of both 2 and 3, it can be divided by 6. In other words, a number is considered to be divisible by 6 if its last digit is even and the sum of all its digits is a multiple of 3. Let’s see if 61704 can be split into 5 and 6 parts. The number is not divisible by 5, since the last digit is neither 5 nor 0. Now, let’s use the steps below to see if it can be divided by 6:

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.

Numbers Divisible by 5

There is an endless list of numbers that can be divided exactly by 5. But the simple rule of divisibility by 5 says that a number is divisible by 5 if the last digit of the number is either 0 or 5. For instance, the numbers 5, 10, 15, 20, 25, 30, 35, and so on are all divisible by 5. These can also be called the five times.

Divisibility Rule of 5 Examples

Example 1: 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.

⁕ Related Topics

• Divisibility Rule of 3
• Divisibility Rule of 4
• Divisibility Rule of 6
• Divisibility Rule of 7
• Divisibility Rule of 8
• Divisibility Rule of 9
• Divisibility Rule of 11

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