All Numbers Divisible By 8

Divisibility Rule of viii

The divisibility rule of 8 states that a number volition be divisible by viii if its last three digits are either 000 or, they class a number that is divisible past eight. While smaller numbers can be hands checked for divisibility, in that location are certain rules to bank check the divisibility of larger numbers. These rules assistance us to cheque if a number is completely divisible by another number without actually doing the sectionalisation. Let united states of america learn more nigh the divisibility rule of 8 in this article.

i.	What is the Divisibility Rule of eight?
2.	Divisibility Rule of 8 for Large Numbers
iii.	Divisibility Dominion of 4 and eight
four.	Divisibility Rule of viii and ix
five.	FAQs on Divisibility Rule of viii

What is the Divisibility Rule of 8?

According to the divisibility rule of 8, if the last three digits of a given number are zeros or if the number formed by the last three digits is divisible by eight, and so such a number is divisible by viii. For example, in 4832, the final three digits are 832, which is divisible past 8. Therefore, the given number 4832 is completely divisible by 8. Similarly, in 7000, the final three digits are 000, which tells us that 7000 is divisible past 8.

Divisibility Rule of 8

Divisibility Test of 8 for Big Numbers

Divisibility rules brand the process of partition quicker and easier. While the divisibility check for smaller numbers can be washed easily, the rules are helpful for larger numbers. For example, to check if 31,000 is divisible by eight, we check the last three digits of the given number, which are 000. According to the divisibility dominion of 8, we conclude that the given number 31,000 is divisible by 8. In other words, 31,000 passes the divisibility exam of eight. Let us take some other example of the number 354416. In this case, the last iii digits are 416, which is divisible by 8. Therefore, 354416 is divisible by viii.

Divisibility Rule of iv and eight

The divisibility rule of 4 states that a given number is said to exist divisible by 4 if the number formed by the concluding ii digits is divisible by 4. For case, in the number 2348, the terminal two digits grade the number 48 which is divisible by 4. Therefore, 2348 is divisible by 4. However, we know that the divisibility rule of 8 states that if the last three digits of the given number are zeros or they form a number that is divisible by eight, and then the given number is divisible by 8. For example, in the number 56824, the terminal three digits course the number 824 which is divisible past viii. Therefore, we can say that 56824 is divisible past 8.

Divisibility Rule of 8 and nine

Testing the divisibility past 8 is simple since we just need to consider the last three digits of the given number. However, the divisibility dominion of 9 is different from this but similar to the rule of 3. A number is divisible by 9 if the sum of all its digits is a multiple of 9. For example, let united states check if 75816 is divisible by 8 and 9. Since the last iii digits of the given number are 816, which is divisible by 8, therefore, the given number is divisible by 8. Now, let u.s. check its divisibility past 9. The sum of the numbers is seven + 5 + 8 + 1 + 6 = 27. Since 27 is divisible by 9, therefore, the given number 75816 is divisible by 9.

Divisibility Test of 8 and 11

Nosotros have seen that the divisibility test of viii is checked by because the last three digits of the given number. However, the divisibility examination for 11 is different. If the deviation of the sums of the alternating digits is either nada or divisible past 11, then the number is divisible past eleven. Let usa check if 86416 is divisible by 8 and 11. The terminal three digits of the number are 416, which is divisible by 8. Therefore, the number 86416 is divisible by 8. Now, let united states check its divisibility by 11 past using the following steps:

Step one: Calculate the sum of the alternating numbers starting from the right. In this example, it is: 6 + 4 + 8 = 18.
Step 2: After this, summate the sum of the remaining alternating digits, 1 + 6 = 7.
Footstep 3: Now, observe the difference between the sums: 18 - 7 = 11. Since eleven is divisible past 11, the given number 86416 is also divisible by 11.

☛ Related Topics

Divisibility Dominion of three
Divisibility Rule of iv
Divisibility Rule of v
Divisibility Rule of 6
Divisibility Rule of 7
Divisibility Rule of nine
Divisibility Rule of 11
Divisibility Rule of thirteen

Divisibility Rule of 8 with Examples

Example 1: From the following set up of numbers, select and write the numbers which are divisible by viii, using the divisibility test of 8.

3458, 432000, 7856

Solution:

a) In 3458, the last 3 digits are 458, which is not divisible by 8. Therefore, 3458 is not divisible by 8.

b) In 432000, the last three digits are 000. Therefore, 432000 is divisible past 8.

c) In 7856, the terminal three digits are 856, which is divisible past viii. Therefore, 7856 is divisible by 8.
Case 2: Observe the following statements and write true or false using the divisibility dominion of 8.

a) 2000 is divisible by viii.

b) 1824 is not divisible past 8.

c) 14238 is not divisible by 8.

Solution:

a.) Truthful. In 2000, the last iii digits are 000. Therefore, 2000 is divisible by viii.

b.) False. In 1824, the concluding three digits are 824, which is divisible by 8. Therefore, 1824 is divisible past 8.

c.) True. In 14238, the terminal three digits are 238, which is not divisible by eight. Therefore, 14238 is not divisible by viii.
Example three: Cheque whether 456788 is divisible past eight or not.

Solution:

Using the divisibility rule of 8, in 456788, the last three digits are 788, which is not divisible by 8. Therefore, 456788 is not divisible past 8.

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Practice Questions on Divisibility Rule of viii

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FAQs on Divisibility Rule of 8

What is the Divisibility Rule of 8?

The divisibility rule of viii states that if the last three digits of a given number are zeros or if the number formed by the concluding 3 digits is divisible by 8, then such a number is divisible past eight. For example, in 1848, the last 3 digits are 848, which is divisible by eight. Therefore, the given number 1848 is completely divisible by viii.

Using the Divisibility Dominion of 8, Check if 2328 is Divisible by 8.

Using the divisibility dominion of 8, nosotros tin can run into that the final iii digits of 2328 are 328 which is divisible by 8. Hence, 2328 is divisible past 8.

What is the Divisibility Dominion of 8 and 9?

The divisibility rule of 8 states that if the terminal three digits of the given number are zeros or they form a number that is divisible by viii, then the given number is divisible by 8. The divisibility rule of 9 says that a number is divisible by 9 if the sum of its digits is divisible by ix.

Using the Divisibility Test of 8, Cheque if 1000 is Divisible by viii.

Using the divisibility test of 8, we tin run into that the last 3 digits of 1000 are 000. This means that 1000 is divisible by 8.

How practise yous Know if a Big Number is Divisible by 8?

In order to check the divisibility for larger numbers, we need to bank check the final three digits of the given number. If the concluding three digits of a large number are zeros or a number that is divisible by eight, and so the given number is said to be divisible by eight. For instance, to check if 51,848 is divisible by viii, we check the concluding three digits of the given number, 848, which is divisible by 8. Hence, we tin say that 51,848 is divisible by 8.

What is the Divisibility Rule of iv and 8?

Co-ordinate to the divisibility dominion of 4, a given number is said to be divisible past four if the number formed by the final ii digits is divisible by iv. For example, in the number 1136, the last 2 digits form the number 36 which is divisible by 4. Therefore, 1136 is divisible by 4. However, the divisibility rule of eight states that if the last three digits of the given number are zeros or they class a number that is divisible past 8, and then the given number is divisible by 8. For example, in the number 56416, the last 3 digits form the number 416 which is divisible past 8. Therefore, we tin say that 56416 is divisible past eight.