answersLogoWhite

0


Best Answer

To be divisible by 6, the number must be divisible by both 2 and 3:

To be divisible by 2 the last digit must be even, ie one of {0, 2, 4, 6, 8};

To be divisible by 3, sum the digits of the number and if this sum is divisible by 3, then the original number is divisible by 3.

As the test can be repeated on the sum, repeat the summing until a single digit remains; only if this number is one of {3, 6, 9} is the original number divisible by 3.

If the number is not divisible by 2 or 3 (or both) then the number is not divisible by 6.

examples:

  • 126
Last digit is even so it is divisible by 2

1 + 2 + 6 = 9 which is divisible by 3, so it is divisible by 3

→ 126 is divisible by both 2 and 3, so it is divisible by 6

  • 124
Last digit is even so it is divisible by 2

1 + 2 + 4 = 7 which is not divisible by 3, so it is not divisible by 3

→ 126 is divisible by 2 but not divisible by 3, so it is not divisible by 6

  • 123
Last digit is not even so it is not divisible by 2

We can stop at this point as regardless of whether it is divisible by 3 or not, it will not be divisible by 6. However, for completeness:

1 + 2 + 3 = 6 which is divisible by 3, so it is divisible by 3

→ 123 is divisible by 3 but not divisible by 2, so it is not divisible by 6

  • 121
Last digit is not even so it is not divisible by 2

We can stop at this point as regardless of whether it is divisible by 3 or not, it will not be divisible by 6. However, for completeness:

1 + 2 + 1 = 4 which is not divisible by 3, so it is not divisible by 3

→ 121 is not divisible by either 2 or 3, so it is not divisible by 6

User Avatar

Wiki User

βˆ™ 2018-03-26 10:49:42
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

➑️
See all cards
3.81
β˜†β˜…β˜†β˜…β˜†β˜…β˜†β˜…β˜†β˜…
1765 Reviews

Add your answer:

Earn +20 pts
Q: What are the divisibility rule for 6?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Why does divisibility rule for 6 work?

By tautology. If it did not work, it would not be a divisibility rule!


Is there a divisibility rule for 24?

there is a divisibility for 24 the rule is you can divide 24 as 6 and 4 i think


What is the rule for divisibility of 3?

It is 3 6 9


What are the divisablity rules?

the divisibility rule for 2 is: The number is even;the last digit ends with a 2,4,6,8,10, etc.The divisibility rule fir 3 is: The sum of the number is divisible by 3The divisibility rule for 4 is: The last two digits are divisible by 4The divisibility rule for 5 is: The number ends with a 5 or 0The divisibility rule for 6 is: The sum CAN be divisible by 2 and or 3The divisibility rule for 9 is: The sum of the number is divisible by 9The divisibility rule for 10 is : The number ends with a 0


What is the divisibility rule for 34?

There is no easy rule for divisibility by 34.


What is a divisibility rule for 6?

A number has to be even and also divisible by 3.


What divisibility rules were combined to make the divisibility rule of 36?

The divisibility rules of 4 and 9 are combined to make the divisibility rule of 36.


What is the divisibility rule for 6?

Rule: If it is divisible by 2 and by 3Numbers are divisible by 6 if they are divisible by 3 and 2. Therefore, for example, since 18 is divisible by 3 and 2, it is also divisible by 6.The divisibility rule for 6 is, it can go into the number if 2 and 3 can also.


How does the divisibility rule for 4 and 8 work?

why does the divisibility rule work for 4


What is divisibility rule?

What is the divisblity rule by 8


Divisibility rule for the number 2?

That the last digit is 0. 2 4, 6 or 8.


What is the divisibility rule?

Able to Be Divided

People also asked